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complex-threshold="10" imaginary-value="i" zero-threshold="15" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" page-width="612" page-height="792"> <margins left="50.328" right="36" top="54" bottom="54"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"> <center>{n}</center> </footer> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false"/> <units unit-system="us"/> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="true" ruler-unit="in"> <tabs> <tab show-guide="false" position="283.5"/> </tabs> </ruler> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="false" save-text-images="false"/> <miscellaneous> <handbook handbook-region-tag-ub="6401" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="6140" left="120" top="86.25" width="276" height="27" align-x="120" align-y="108" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="24"> <inlineAttr line-through="false">Aero Template</inlineAttr> </f> </text> </region> <region region-id="6300" left="24" top="186.75" width="77.25" height="14.25" align-x="24" align-y="198" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Math Utilities:</inlineAttr> </f> </text> </region> <region region-id="6298" left="48" top="230.25" width="335.25" height="12" align-x="48" align-y="240" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Natural spline interpolation function with linear extrapolation beyond data set. </text> </region> <region region-id="6299" left="84" top="250.5" width="408" height="130.5" align-x="174" align-y="270" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>interpl</ml:id> <ml:boundVars> <ml:id>vc</ml:id> <ml:id>vx</ml:id> <ml:id>vy</ml:id> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id subscript="0">s</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id>vc</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id subscript="last">s</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id>vc</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vc</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id subscript="0">s</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id subscript="last">s</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:id>interp</ml:id> <ml:sequence> <ml:id>vc</ml:id> <ml:id>vx</ml:id> <ml:id>vy</ml:id> <ml:id>x</ml:id> </ml:sequence> </ml:apply> </ml:otherwise> </ml:program> </ml:globalDefine> </math> <rendering item-idref="2"/> </region> <region region-id="6206" left="30" top="713.25" width="151.5" height="23.25" align-x="30" align-y="732" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="20">Global Definitions</f> </text> </region> <region region-id="6271" left="732" top="734.25" width="147.75" height="48" align-x="732" align-y="744" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#f00">Tests, Examples and plotting arrays are placed on the seccond page.<sp count="2"/>Setup printing to print only first column pages.</c> </text> </region> <region region-id="6207" left="30" top="753.75" width="35.25" height="18" align-x="30" align-y="768" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="16">Units</f> </text> </region> <region region-id="6208" left="582" top="770.25" width="76.5" height="13.5" align-x="603.75" align-y="780" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="3"/> </region> <region region-id="6209" left="36" top="788.25" width="55.5" height="13.5" align-x="54.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>nm</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6076.1</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="4"/> </region> <region region-id="6210" left="114" top="788.25" width="45.75" height="13.5" align-x="129.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>kft</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="5"/> </region> <region region-id="6211" left="180" top="780.75" width="36.75" height="29.25" align-x="193.5" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>kt</ml:id> <ml:apply> <ml:div/> <ml:id>nm</ml:id> <ml:id>hr</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="6"/> </region> <region region-id="6212" left="234" top="780.75" width="39" height="34.5" align-x="252.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>psf</ml:id> <ml:apply> <ml:div/> <ml:id>lbf</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="7"/> </region> <region region-id="6213" left="300" top="780.75" width="43.5" height="29.25" align-x="318" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>fps</ml:id> <ml:apply> <ml:div/> <ml:id>ft</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:globalDefine> 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height="29.25" align-x="135" align-y="822" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>gph</ml:id> <ml:apply> <ml:div/> <ml:id>gal</ml:id> <ml:id>hr</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="15"/> </region> <region region-id="6273" left="732" top="812.25" width="67.5" height="13.5" align-x="753.75" align-y="822" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="6220" left="180" top="810.75" width="46.5" height="29.25" align-x="204" align-y="828" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math 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<ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>hr</ml:id> <ml:id>hp</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="19"/> </region> <region region-id="6222" left="582" top="824.25" width="51" height="13.5" align-x="603.75" align-y="834" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>atm</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="6274" left="732" top="825.75" width="88.5" height="18" align-x="753.75" align-y="840" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="21"/> </region> <region region-id="6223" left="582" top="837.75" width="87" height="18" align-x="603.75" align-y="852" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>Pa</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="22"/> </region> <region region-id="6224" left="30" top="843.75" width="71.25" height="18" align-x="30" align-y="858" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="16">Constants</f> </text> </region> <region region-id="6275" left="732" top="848.25" width="51" height="13.5" align-x="753.75" align-y="858" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>atm</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="6225" left="30" top="866.25" width="176.25" height="12" align-x="30" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ratio of specific heats of the atmosphere: </text> </region> <region region-id="6226" left="216" top="866.25" width="27.75" height="13.5" align-x="225.75" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>γ</ml:id> <ml:real>1.4</ml:real> </ml:globalDefine> </math> <rendering item-idref="24"/> </region> <region region-id="6227" left="288" top="858.75" width="63" height="29.25" align-x="305.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="p">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.238</ml:real> <ml:apply> <ml:div/> <ml:id>BTU</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>lb</ml:id> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="25"/> </region> <region region-id="6228" left="372" top="858.75" width="63" height="29.25" align-x="389.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="a">R</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id>γ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id>γ</ml:id> </ml:apply> <ml:id subscript="p">C</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="26"/> </region> <region region-id="6276" left="732" top="861.75" width="87" height="18" align-x="753.75" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>Pa</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="6229" left="576" top="870.75" width="67.5" height="29.25" align-x="593.25" align-y="888" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="a">R</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>BTU</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>lb</ml:id> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="28"/> </region> <region region-id="6277" left="732" top="902.25" width="56.25" height="13.5" align-x="744" align-y="912" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>R</ml:id> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="6278" left="798" top="894.75" width="67.5" height="29.25" align-x="815.25" align-y="912" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="a">R</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>BTU</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>lb</ml:id> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="30"/> </region> <region region-id="6334" left="330" top="908.25" width="43.5" height="12" align-x="330" align-y="918" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Viscosity </text> </region> <region region-id="6232" left="576" top="914.25" width="56.25" height="13.5" align-x="588" align-y="924" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>R</ml:id> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="6279" left="732" top="927" width="115.5" height="21" align-x="751.5" align-y="942" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">ρ</ml:id> <ml:unitOverride> <ml:id>slug</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="6335" left="24" top="938.25" width="45" height="12" align-x="24" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Sea Level: </text> </region> <region region-id="6336" left="78" top="938.25" width="29.25" height="13.5" align-x="90.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>sl</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="33"/> </region> <region region-id="6337" left="120" top="930.75" width="58.5" height="34.5" align-x="139.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">ρ</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>.076</ml:real> <ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="34"/> </region> <region region-id="6338" left="192" top="938.25" width="54" height="15.75" align-x="207.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="35"/> </region> <region region-id="6339" left="258" top="938.25" width="45.75" height="15.75" align-x="276" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">p</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id>atm</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="36"/> </region> <region region-id="6340" left="318" top="930.75" width="102.75" height="29.25" align-x="336.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">μ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:real>1.783</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-5</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="37"/> </region> <region region-id="6341" left="432" top="936" width="68.25" height="18" align-x="450" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">a</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:id subscript="a">R</ml:id> </ml:apply> <ml:id subscript="sl">t</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="38"/> </region> <region region-id="6280" left="732" top="956.25" width="64.5" height="15.75" align-x="747.75" align-y="966" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">t</ml:id> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="6281" left="804" top="951" width="102.75" height="21" align-x="822" align-y="966" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">a</ml:id> </ml:eval> </math> <rendering item-idref="40"/> </region> <region region-id="6282" left="732" top="974.25" width="63.75" height="15.75" align-x="750" align-y="984" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">p</ml:id> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="5264" left="534" top="1014.75" width="110.25" height="29.25" align-x="552.75" align-y="1032" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">μ</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="42"/> </region> <region region-id="6139" left="0" top="1034.25" width="525.75" height="12" align-x="0" align-y="1044" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="true" push-down="true" lock-width="true"> Standard Atmosphere<sp count="2"/>---------------------------------------------------------------------------------------------------------------------------------------- </text> </region> <region region-id="5094" left="534" top="1052.25" width="76.5" height="13.5" align-x="545.25" align-y="1062" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id>h</ml:id> <ml:range> <ml:sequence> <ml:real>-15</ml:real> <ml:real>-10</ml:real> </ml:sequence> <ml:real>300</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="43"/> </region> <region region-id="6091" left="24" top="1064.25" width="33" height="13.5" align-x="31.5" align-y="1074" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>6</ml:real> </ml:range> </ml:globalDefine> </math> <rendering item-idref="44"/> </region> <region region-id="5097" left="534" top="1076.25" width="64.5" height="15.75" align-x="550.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id subscript="a">q</ml:id> <ml:range> <ml:sequence> <ml:real>.1</ml:real> <ml:real>.12</ml:real> </ml:sequence> <ml:real>.5</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="45"/> </region> <region region-id="6092" left="78" top="1076.25" width="33.75" height="127.5" align-x="90.75" align-y="1092" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:apply> <ml:indexer/> <ml:id>Alt</ml:id> <ml:id>i</ml:id> </ml:apply> <ml:sequence> <ml:real>0</ml:real> <ml:real>36152</ml:real> <ml:real>82346</ml:real> <ml:real>155348</ml:real> <ml:real>175344</ml:real> <ml:real>250000</ml:real> <ml:real>315000</ml:real> </ml:sequence> </ml:globalDefine> </math> <rendering item-idref="46"/> </region> <region region-id="6138" left="132" top="1076.25" width="36.75" height="127.5" align-x="144.75" align-y="1092" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:apply> <ml:indexer/> <ml:id>Temp</ml:id> <ml:id>i</ml:id> </ml:apply> <ml:sequence> <ml:real>518.69</ml:real> <ml:real>390.0</ml:real> <ml:real>390.0</ml:real> <ml:real>508.8</ml:real> <ml:real>508.8</ml:real> <ml:real>349.67</ml:real> <ml:real>349.67</ml:real> </ml:sequence> </ml:globalDefine> </math> <rendering item-idref="47"/> </region> <region region-id="5096" left="534" top="1100.25" width="55.5" height="13.5" align-x="548.25" align-y="1110" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id>M</ml:id> <ml:range> <ml:sequence> <ml:real>.1</ml:real> <ml:real>.2</ml:real> </ml:sequence> <ml:real>8</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="5239" left="534" top="1124.25" width="97.5" height="13.5" align-x="543" align-y="1134" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id>t</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>400</ml:real> <ml:id>R</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>450</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>2000</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="49"/> </region> <region region-id="6094" left="282" top="1085.25" width="82.5" height="116.25" align-x="311.25" align-y="1146" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>Temp</ml:id> </ml:eval> </math> <rendering item-idref="50"/> </region> <region region-id="5276" left="534" top="1148.25" width="126" height="15.75" align-x="549" align-y="1158" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id subscript="a">v</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10</ml:real> <ml:id>mph</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>20</ml:real> <ml:id>mph</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>300</ml:real> <ml:id>mph</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="51"/> </region> <region region-id="6095" left="42" top="1232.25" width="138" height="13.5" align-x="66" align-y="1242" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>T</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:function> <ml:id>linterp</ml:id> <ml:boundVars> <ml:apply> <ml:mult style="default"/> <ml:id>Alt</ml:id> <ml:id>ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id>Temp</ml:id> <ml:id>R</ml:id> </ml:apply> <ml:id>h</ml:id> </ml:boundVars> </ml:function> </ml:globalDefine> </math> <rendering item-idref="52"/> </region> <region region-id="6099" left="180" top="1266" width="295.5" height="165.75" align-x="180" align-y="1266" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="53"/> <rendering item-idref="54"/> </region> <region region-id="6096" left="30" top="1268.25" width="63" height="12" align-x="30" align-y="1278" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Temp/TempSL </text> </region> <region region-id="6097" left="108" top="1260.75" width="55.5" height="29.25" align-x="132.75" align-y="1278" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>θ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id>T</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:apply> <ml:id>T</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="55"/> </region> <region region-id="5411" left="0" top="1434" width="6000" height="6" align-x="0" align-y="1434" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="6074" left="12" top="1448.25" width="66" height="12" align-x="12" align-y="1458" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Press/PressSL </text> </region> <region region-id="6352" left="1068" top="1449" width="34.5" height="12.75" align-x="1084.5" align-y="1458" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:real>710792.7</ml:real> </math> <rendering item-idref="56"/> </region> <region region-id="6363" left="6" top="1471.5" width="347.25" height="146.25" align-x="29.25" align-y="1494" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>δ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:ifThen> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:greaterOrEqual/> <ml:id>h</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-15000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:lessThan/> <ml:id>h</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>36089</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:localDefine> <ml:id>δ</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:minus/> <ml:real>1</ml:real> <ml:apply> <ml:div/> <ml:id>h</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>145442.3</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> <ml:real>5.25591</ml:real> </ml:apply> </ml:localDefine> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:greaterOrEqual/> <ml:id>h</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>36089</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:lessThan/> <ml:id>h</ml:id> <ml:apply> <ml:mult style="auto-select"/> 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style="auto-select"/> <ml:real>267915.5</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:real>-12.2012</ml:real> </ml:apply> </ml:apply> </ml:localDefine> </ml:ifThen> </ml:program> </ml:globalDefine> </math> <rendering item-idref="57"/> </region> <region region-id="6351" left="672" top="1496.25" width="55.5" height="13.5" align-x="687.75" align-y="1506" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:apply> <ml:greaterOrEqual/> <ml:id>yy</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>-15000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </math> <rendering item-idref="58"/> </region> <region region-id="5098" left="534" top="1497.75" width="90" height="18" align-x="562.5" align-y="1512" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6000</ml:real> <ml:id>ft</ml:id> </ml:apply> <ml:unitOverride> <ml:id>m</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="59"/> </region> <region region-id="6365" left="318" top="1572" width="185.25" height="135.75" align-x="318" align-y="1572" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="60"/> <rendering item-idref="61"/> </region> <region region-id="6078" left="552" top="1622.25" width="75" height="13.5" align-x="593.25" align-y="1632" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>δ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="62"/> </region> <region region-id="6079" left="552" top="1640.25" width="78" height="13.5" align-x="596.25" align-y="1650" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>δ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1829</ml:real> <ml:id>m</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="63"/> </region> <region region-id="5155" left="258" top="1722" width="235.5" height="159.75" align-x="258" align-y="1722" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="64"/> <rendering item-idref="65"/> </region> <region region-id="517" left="18" top="1724.25" width="60" height="12" align-x="18" align-y="1734" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Dens/DensSL </text> </region> <region region-id="518" left="90" top="1716.75" width="54" height="29.25" align-x="114.75" align-y="1734" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>σ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id>δ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:apply> <ml:id>θ</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="66"/> </region> <region region-id="5102" left="534" top="1724.25" width="81" height="13.5" align-x="581.25" align-y="1734" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>σ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="67"/> </region> <region region-id="5103" left="534" top="1742.25" width="79.5" height="13.5" align-x="579.75" align-y="1752" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>δ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="68"/> </region> <region region-id="5104" left="534" top="1760.25" width="81" height="13.5" align-x="581.25" align-y="1770" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>θ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="69"/> </region> <region region-id="5225" left="528" top="1809" width="105.75" height="18.75" align-x="571.5" align-y="1824" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>ρ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="70"/> </region> <region region-id="5429" left="528" top="1827.75" width="96.75" height="18" align-x="558" align-y="1842" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="71"/> </region> <region region-id="5430" left="528" top="1845.75" width="113.25" height="18" align-x="574.5" align-y="1860" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real font="0">6000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="72"/> </region> <region region-id="5171" left="690" top="1850.25" width="125.25" height="15.75" align-x="769.5" align-y="1860" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="qM">P</ml:id> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id>atm</ml:id> </ml:apply> <ml:real>1.195</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="73"/> </region> <region region-id="5303" left="24" top="1856.25" width="33" height="12" align-x="24" align-y="1866" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Density </text> </region> <region region-id="6100" left="120" top="1856.25" width="69.75" height="15.75" align-x="145.5" align-y="1866" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>ρ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id>σ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:id subscript="sl">ρ</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="74"/> </region> <region region-id="5431" left="528" top="1868.25" width="75.75" height="13.5" align-x="558" align-y="1878" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="75"/> </region> <region region-id="5305" left="24" top="1874.25" width="39" height="12" align-x="24" align-y="1884" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Pressure </text> </region> <region region-id="6101" left="120" top="1874.25" width="66.75" height="15.75" align-x="145.5" align-y="1884" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>P</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id>δ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:id subscript="sl">p</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="76"/> </region> <region region-id="5174" left="684" top="1886.25" width="68.25" height="13.5" align-x="712.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>R</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="5307" left="24" top="1892.25" width="54" height="12" align-x="24" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Temperature </text> </region> <region region-id="6102" left="120" top="1892.25" width="64.5" height="15.75" align-x="144" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>T</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id>θ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:id subscript="sl">t</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="78"/> </region> <region region-id="5224" left="330" top="1892.25" width="161.25" height="24" align-x="330" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#f00">beware, this atmospheric model was </c> <c val="#f00">correlated to 300, 000 feet only.</c> </text> </region> <region region-id="6394" left="528" top="1887" width="129" height="21" align-x="572.25" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>519</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="79"/> </region> <region region-id="5176" left="684" top="1899.75" width="121.5" height="20.25" align-x="739.5" align-y="1914" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>fps</ml:id> </ml:unitOverride> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="80"/> </region> <region region-id="6395" left="528" top="1910.25" width="95.25" height="13.5" align-x="579" align-y="1920" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>140000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>R</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="81"/> </region> <region region-id="6369" left="204" top="1911" width="90" height="18.75" align-x="231.75" align-y="1926" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>ρ</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:eval> </math> <rendering item-idref="82"/> </region> <region region-id="5178" left="684" top="1922.25" width="111.75" height="15.75" align-x="739.5" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>mph</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="83"/> </region> <region region-id="6135" left="828" top="1922.25" width="99" height="13.5" align-x="876" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>36152</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="84"/> </region> <region region-id="5424" left="18" top="1934.25" width="495" height="12" align-x="18" align-y="1944" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> --------------------------------------------------------------------------------------------------------------------------------------------------------------------- </text> </region> <region region-id="6396" left="534" top="1934.25" width="75" height="13.5" align-x="560.25" align-y="1944" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>T</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:eval> </math> <rendering item-idref="85"/> </region> <region region-id="5425" left="0" top="1950" width="6000" height="6" align-x="0" align-y="1950" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="6136" left="834" top="1958.25" width="94.5" height="13.5" align-x="882" align-y="1968" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>82346</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="86"/> </region> <region region-id="6367" left="276" top="1974" width="246.75" height="133.5" align-x="276" align-y="1974" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="87"/> <rendering item-idref="88"/> </region> <region region-id="5210" left="24" top="1970.25" width="42" height="13.5" align-x="44.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:id>Viscosity</ml:id> </math> <rendering item-idref="89"/> </region> <region region-id="5222" left="156" top="1962.75" width="99" height="31.5" align-x="194.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="atm">μ</ml:id> <ml:boundVars> <ml:id>t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id subscript="sl">μ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:div/> <ml:id>t</ml:id> <ml:id subscript="sl">t</ml:id> </ml:apply> </ml:parens> <ml:real>.75</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="90"/> </region> <region region-id="6137" left="840" top="1976.25" width="94.5" height="13.5" align-x="892.5" align-y="1986" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>200000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="91"/> </region> <region region-id="6011" left="540" top="1974.75" width="110.25" height="29.25" align-x="558.75" align-y="1992" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">μ</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="92"/> </region> <region region-id="5216" left="18" top="2006.25" width="67.5" height="12" align-x="18" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Speed of sound </text> </region> <region region-id="5300" left="126" top="2004" width="74.25" height="18" align-x="155.25" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="T">a</ml:id> <ml:boundVars> <ml:id>T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:id subscript="a">R</ml:id> </ml:apply> <ml:id>T</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="93"/> </region> <region region-id="5302" left="216" top="2006.25" width="75" height="15.75" align-x="246" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:function> <ml:id subscript="h">a</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="94"/> </region> <region region-id="6012" left="534" top="2010.75" width="147.75" height="29.25" align-x="590.25" align-y="2028" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="atm">μ</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="95"/> </region> <region region-id="5180" left="684" top="2030.25" width="101.25" height="15.75" align-x="739.5" align-y="2040" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>kt</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="96"/> </region> <region region-id="5218" left="18" top="2042.25" width="87.75" height="12" align-x="18" align-y="2052" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Pressure Functions: </text> </region> <region region-id="5219" left="156" top="2034.75" width="90.75" height="34.5" align-x="207.75" align-y="2052" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="qM">P</ml:id> <ml:boundVars> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:div/> <ml:id>q</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:apply> <ml:pow/> <ml:id>M</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="97"/> </region> <region region-id="6302" left="546" top="2066.25" width="77.25" height="15.75" align-x="577.5" align-y="2076" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="h">a</ml:id> <ml:id>sl</ml:id> </ml:apply> <ml:unitOverride> <ml:id>kt</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="98"/> </region> <region region-id="5419" left="540" top="2091" width="154.5" height="21" align-x="609.75" align-y="2106" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>140000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="99"/> </region> <region region-id="5195" left="18" top="2102.25" width="78.75" height="12" align-x="18" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Altitude Functions </text> </region> <region region-id="5196" left="114" top="2102.25" width="153.75" height="31.5" align-x="144.75" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="p">H</ml:id> <ml:boundVars> <ml:id>p</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>P</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>p</ml:id> </ml:apply> <ml:id>H</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="100"/> </region> <region region-id="5420" left="540" top="2120.25" width="89.25" height="13.5" align-x="583.5" align-y="2130" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="101"/> </region> <region region-id="5184" left="678" top="2127.75" width="124.5" height="20.25" align-x="735" align-y="2142" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="p">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id>psf</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="102"/> </region> <region region-id="5421" left="540" top="2133.75" width="114.75" height="20.25" align-x="603" align-y="2148" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="p">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>11.777</ml:real> <ml:id>psi</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="5197" left="120" top="2150.25" width="154.5" height="31.5" align-x="151.5" align-y="2160" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="ρ">H</ml:id> <ml:boundVars> <ml:id>d</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>ρ</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>d</ml:id> </ml:apply> <ml:id>H</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="104"/> </region> <region region-id="6377" left="354" top="2171.25" width="174" height="31.5" align-x="354" align-y="2184" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <c val="#f00">this is not as accurate as you would like !!!! >>>>>>>>></c> </f> </text> </region> <region region-id="5422" left="540" top="2169" width="147.75" height="18.75" align-x="584.25" align-y="2184" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>ρ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>100</ml:real> <ml:id>kft</ml:id> </ml:apply> </ml:apply> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="5" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="105"/> </region> <region region-id="5198" left="108" top="2198.25" width="220.5" height="33.75" align-x="159.75" align-y="2208" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="qM">H</ml:id> <ml:boundVars> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>p</ml:id> <ml:apply> <ml:id subscript="qM">P</ml:id> <ml:sequence> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>P</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>p</ml:id> </ml:apply> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>150</ml:real> <ml:id>kft</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="106"/> </region> <region region-id="6370" left="540" top="2196.75" width="150.75" height="34.5" align-x="623.25" align-y="2214" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="ρ">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.00103734</ml:real> <ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="107"/> </region> <region region-id="6374" left="372" top="2235.75" width="138" height="20.25" align-x="442.5" align-y="2250" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="qM">H</ml:id> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.22</ml:real> <ml:id>atm</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:sequence> </ml:apply> </ml:eval> </math> <rendering item-idref="108"/> </region> <region region-id="6379" left="576" top="2258.25" width="50.25" height="243" align-x="580.5" align-y="2268" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="a">q</ml:id> </ml:eval> <resultFormat> <table item-idref="109"/> </resultFormat> </math> <rendering item-idref="110"/> </region> <region region-id="5266" left="12" top="2274" width="247.5" height="181.5" align-x="12" align-y="2274" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="111"/> <rendering item-idref="112"/> </region> <region region-id="6371" left="288" top="2280" width="267.75" height="183.75" align-x="288" align-y="2280" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="113"/> <rendering item-idref="114"/> </region> <region region-id="1981" left="672" top="2282.25" width="79.5" height="13.5" align-x="700.5" align-y="2292" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.3</ml:real> <ml:id>atm</ml:id> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="115"/> </region> <region region-id="6381" left="624" top="2373" width="126" height="18.75" align-x="645.75" align-y="2388" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> </ml:eval> </math> <rendering item-idref="116"/> </region> <region region-id="5470" left="0" top="2580" width="6000" height="6" align-x="0" align-y="2580" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="5452" left="18" top="2606.25" width="85.5" height="12" align-x="18" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Dynamic Pressure</inlineAttr> </f> </text> </region> <region region-id="5453" left="168" top="2593.5" width="105" height="33.75" align-x="218.25" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="hM">q</ml:id> <ml:boundVars> <ml:id>h</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:apply> <ml:id>P</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id>M</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> 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optimize-expressions="false" exact-boolean="false" strings-use-origin="false"/> <units unit-system="us"/> </calculation> <editor protection-level="none" view-annotations="false" view-regions="false"> <ruler is-visible="true" ruler-unit="in"> <tabs> <tab show-guide="false" position="283.5"/> </tabs> </ruler> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="false" save-text-images="false"/> <miscellaneous> <handbook handbook-region-tag-ub="6401" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="6140" left="120" top="86.25" width="276" height="27" align-x="120" align-y="108" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="24"> <inlineAttr line-through="false">Aero Template</inlineAttr> </f> </text> </region> <region region-id="6300" left="24" top="186.75" width="77.25" height="14.25" align-x="24" align-y="198" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">Math Utilities:</inlineAttr> </f> </text> </region> <region region-id="6298" left="48" top="230.25" width="335.25" height="12" align-x="48" align-y="240" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Natural spline interpolation function with linear extrapolation beyond data set. </text> </region> <region region-id="6299" left="84" top="250.5" width="408" height="130.5" align-x="174" align-y="270" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>interpl</ml:id> <ml:boundVars> <ml:id>vc</ml:id> <ml:id>vx</ml:id> <ml:id>vy</ml:id> <ml:id>x</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id subscript="0">s</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id>vc</ml:id> <ml:real>4</ml:real> 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<ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:indexer/> <ml:id>vc</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vc</ml:id> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:real>6</ml:real> </ml:apply> </ml:apply> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:real>0</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id subscript="0">s</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:real>0</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:indexer/> <ml:id>vy</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id subscript="last">s</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id>x</ml:id> <ml:apply> <ml:indexer/> <ml:id>vx</ml:id> <ml:apply> <ml:id>last</ml:id> <ml:id>vx</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:id>interp</ml:id> <ml:sequence> <ml:id>vc</ml:id> <ml:id>vx</ml:id> <ml:id>vy</ml:id> <ml:id>x</ml:id> </ml:sequence> </ml:apply> </ml:otherwise> </ml:program> </ml:globalDefine> </math> <rendering item-idref="2"/> </region> <region region-id="6206" left="30" top="713.25" width="151.5" height="23.25" align-x="30" align-y="732" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="20">Global Definitions</f> </text> </region> <region region-id="6271" left="732" top="734.25" width="147.75" height="48" align-x="732" align-y="744" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#f00">Tests, Examples and plotting arrays are placed on the seccond page.<sp count="2"/>Setup printing to print only first column pages.</c> </text> </region> <region region-id="6207" left="30" top="753.75" width="35.25" height="18" align-x="30" align-y="768" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="16">Units</f> </text> </region> <region region-id="6208" left="582" top="770.25" width="76.5" height="13.5" align-x="603.75" align-y="780" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="3"/> </region> <region region-id="6209" left="36" top="788.25" width="55.5" height="13.5" align-x="54.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>nm</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6076.1</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="4"/> </region> <region region-id="6210" left="114" top="788.25" width="45.75" height="13.5" align-x="129.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>kft</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="5"/> </region> <region region-id="6211" left="180" top="780.75" width="36.75" height="29.25" align-x="193.5" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>kt</ml:id> <ml:apply> <ml:div/> <ml:id>nm</ml:id> <ml:id>hr</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="6"/> </region> <region region-id="6212" left="234" top="780.75" width="39" height="34.5" align-x="252.75" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>psf</ml:id> <ml:apply> <ml:div/> <ml:id>lbf</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="7"/> </region> <region region-id="6213" left="300" top="780.75" width="43.5" height="29.25" align-x="318" align-y="798" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>fps</ml:id> <ml:apply> <ml:div/> <ml:id>ft</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:globalDefine> 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height="29.25" align-x="135" align-y="822" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>gph</ml:id> <ml:apply> <ml:div/> <ml:id>gal</ml:id> <ml:id>hr</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="15"/> </region> <region region-id="6273" left="732" top="812.25" width="67.5" height="13.5" align-x="753.75" align-y="822" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="16"/> </region> <region region-id="6220" left="180" top="810.75" width="46.5" height="29.25" align-x="204" align-y="828" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>mpg</ml:id> <ml:apply> <ml:div/> <ml:id>mi</ml:id> <ml:id>gal</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="17"/> </region> <region region-id="6283" left="258" top="818.25" width="59.25" height="13.5" align-x="280.5" align-y="828" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>kPa</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id>Pa</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="18"/> </region> <region region-id="6221" left="456" top="810.75" width="58.5" height="29.25" align-x="482.25" align-y="828" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>PSfc</ml:id> <ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>hr</ml:id> <ml:id>hp</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="19"/> </region> <region region-id="6222" left="582" top="824.25" width="51" height="13.5" align-x="603.75" align-y="834" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>atm</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="20"/> </region> <region region-id="6274" left="732" top="825.75" width="88.5" height="18" align-x="753.75" align-y="840" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering 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disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>atm</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="23"/> </region> <region region-id="6225" left="30" top="866.25" width="176.25" height="12" align-x="30" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> ratio of specific heats of the atmosphere: </text> </region> <region region-id="6226" left="216" top="866.25" width="27.75" height="13.5" align-x="225.75" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>γ</ml:id> <ml:real>1.4</ml:real> </ml:globalDefine> </math> <rendering item-idref="24"/> </region> <region region-id="6227" left="288" top="858.75" width="63" height="29.25" align-x="305.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="p">C</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.238</ml:real> <ml:apply> <ml:div/> <ml:id>BTU</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>lb</ml:id> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="25"/> </region> <region region-id="6228" left="372" top="858.75" width="63" height="29.25" align-x="389.25" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="a">R</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id>γ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id>γ</ml:id> </ml:apply> <ml:id subscript="p">C</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="26"/> </region> <region region-id="6276" left="732" top="861.75" width="87" height="18" align-x="753.75" align-y="876" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> <ml:unitOverride> <ml:id>Pa</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="27"/> </region> <region region-id="6229" left="576" top="870.75" width="67.5" height="29.25" align-x="593.25" align-y="888" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="a">R</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>BTU</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>lb</ml:id> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering 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align-x="330" align-y="918" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Viscosity </text> </region> <region region-id="6232" left="576" top="914.25" width="56.25" height="13.5" align-x="588" align-y="924" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>R</ml:id> </ml:eval> </math> <rendering item-idref="31"/> </region> <region region-id="6279" left="732" top="927" width="115.5" height="21" align-x="751.5" align-y="942" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">ρ</ml:id> <ml:unitOverride> <ml:id>slug</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="32"/> </region> <region region-id="6335" left="24" top="938.25" width="45" height="12" align-x="24" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Sea Level: </text> </region> <region region-id="6336" left="78" top="938.25" width="29.25" height="13.5" align-x="90.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id>sl</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="33"/> </region> <region region-id="6337" left="120" top="930.75" width="58.5" height="34.5" align-x="139.5" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">ρ</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>.076</ml:real> <ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="34"/> </region> <region region-id="6338" left="192" top="938.25" width="54" height="15.75" align-x="207.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">t</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="35"/> </region> <region region-id="6339" left="258" top="938.25" width="45.75" height="15.75" align-x="276" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">p</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id>atm</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="36"/> </region> <region region-id="6340" left="318" top="930.75" width="102.75" height="29.25" align-x="336.75" align-y="948" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:id subscript="sl">μ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:real>1.783</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>-5</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> 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is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:apply> <ml:indexer/> <ml:id>Temp</ml:id> <ml:id>i</ml:id> </ml:apply> <ml:sequence> <ml:real>518.69</ml:real> <ml:real>390.0</ml:real> <ml:real>390.0</ml:real> <ml:real>508.8</ml:real> <ml:real>508.8</ml:real> <ml:real>349.67</ml:real> <ml:real>349.67</ml:real> </ml:sequence> </ml:globalDefine> </math> <rendering item-idref="47"/> </region> <region region-id="5096" left="534" top="1100.25" width="55.5" height="13.5" align-x="548.25" align-y="1110" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:id>M</ml:id> <ml:range> <ml:sequence> <ml:real>.1</ml:real> <ml:real>.2</ml:real> </ml:sequence> <ml:real>8</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="48"/> </region> <region region-id="5239" left="534" 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<ml:function> <ml:id>T</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:function> <ml:id>linterp</ml:id> <ml:boundVars> <ml:apply> <ml:mult style="default"/> <ml:id>Alt</ml:id> <ml:id>ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id>Temp</ml:id> <ml:id>R</ml:id> </ml:apply> <ml:id>h</ml:id> </ml:boundVars> </ml:function> </ml:globalDefine> </math> <rendering item-idref="52"/> </region> <region region-id="6099" left="180" top="1266" width="295.5" height="165.75" align-x="180" align-y="1266" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="53"/> <rendering item-idref="54"/> </region> <region region-id="6096" left="30" top="1268.25" width="63" height="12" align-x="30" align-y="1278" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Temp/TempSL 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background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Press/PressSL </text> </region> <region region-id="6352" left="1068" top="1449" width="34.5" height="12.75" align-x="1084.5" align-y="1458" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:real>710792.7</ml:real> </math> <rendering item-idref="56"/> </region> <region region-id="6363" left="6" top="1471.5" width="347.25" height="146.25" align-x="29.25" align-y="1494" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>δ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:ifThen> <ml:apply> <ml:mult style="default"/> <ml:parens> <ml:apply> <ml:greaterOrEqual/> <ml:id>h</ml:id> <ml:apply> <ml:mult 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lock-width="true"> Dens/DensSL </text> </region> <region region-id="518" left="90" top="1716.75" width="54" height="29.25" align-x="114.75" align-y="1734" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>σ</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:id>δ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:apply> <ml:id>θ</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="66"/> </region> <region region-id="5102" left="534" top="1724.25" width="81" height="13.5" align-x="581.25" align-y="1734" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>σ</ml:id> <ml:apply> <ml:mult style="auto-select"/> 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region-id="5174" left="684" top="1886.25" width="68.25" height="13.5" align-x="712.5" align-y="1896" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>R</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="77"/> </region> <region region-id="5307" left="24" top="1892.25" width="54" height="12" align-x="24" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Temperature </text> </region> <region region-id="6102" left="120" top="1892.25" width="64.5" height="15.75" align-x="144" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id>T</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id>θ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:id subscript="sl">t</ml:id> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="78"/> </region> <region region-id="5224" left="330" top="1892.25" width="161.25" height="24" align-x="330" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <c val="#f00">beware, this atmospheric model was </c> <c val="#f00">correlated to 300, 000 feet only.</c> </text> </region> <region region-id="6394" left="528" top="1887" width="129" height="21" align-x="572.25" align-y="1902" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>519</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="79"/> </region> <region region-id="5176" left="684" top="1899.75" width="121.5" height="20.25" align-x="739.5" align-y="1914" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>fps</ml:id> </ml:unitOverride> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="3" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" 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<region region-id="5178" left="684" top="1922.25" width="111.75" height="15.75" align-x="739.5" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>mph</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="83"/> </region> <region region-id="6135" left="828" top="1922.25" width="99" height="13.5" align-x="876" align-y="1932" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>36152</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="84"/> </region> <region region-id="5424" left="18" top="1934.25" width="495" height="12" align-x="18" align-y="1944" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> --------------------------------------------------------------------------------------------------------------------------------------------------------------------- </text> </region> <region region-id="6396" left="534" top="1934.25" width="75" height="13.5" align-x="560.25" align-y="1944" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>T</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:eval> </math> <rendering item-idref="85"/> </region> <region region-id="5425" left="0" top="1950" width="6000" height="6" align-x="0" align-y="1950" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="6136" left="834" top="1958.25" width="94.5" height="13.5" align-x="882" align-y="1968" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>82346</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="86"/> </region> <region region-id="6367" left="276" top="1974" width="246.75" height="133.5" align-x="276" align-y="1974" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="87"/> <rendering item-idref="88"/> </region> <region region-id="5210" left="24" top="1970.25" width="42" height="13.5" align-x="44.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:id>Viscosity</ml:id> </math> <rendering item-idref="89"/> </region> <region region-id="5222" left="156" top="1962.75" width="99" height="31.5" align-x="194.25" align-y="1980" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="atm">μ</ml:id> <ml:boundVars> <ml:id>t</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id subscript="sl">μ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:parens> <ml:apply> <ml:div/> <ml:id>t</ml:id> <ml:id subscript="sl">t</ml:id> </ml:apply> </ml:parens> <ml:real>.75</ml:real> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="90"/> </region> <region region-id="6137" left="840" top="1976.25" width="94.5" height="13.5" align-x="892.5" align-y="1986" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>200000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="91"/> </region> <region region-id="6011" left="540" top="1974.75" width="110.25" height="29.25" align-x="558.75" align-y="1992" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="sl">μ</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="92"/> </region> <region region-id="5216" left="18" top="2006.25" width="67.5" height="12" align-x="18" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Speed of sound </text> </region> <region region-id="5300" left="126" top="2004" width="74.25" height="18" align-x="155.25" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="T">a</ml:id> <ml:boundVars> <ml:id>T</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:id subscript="a">R</ml:id> </ml:apply> <ml:id>T</ml:id> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="93"/> </region> <region region-id="5302" left="216" top="2006.25" width="75" height="15.75" align-x="246" align-y="2016" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:define> <ml:function> <ml:id subscript="h">a</ml:id> <ml:boundVars> <ml:id>h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="94"/> </region> <region region-id="6012" left="534" top="2010.75" width="147.75" height="29.25" align-x="590.25" align-y="2028" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="atm">μ</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:id>sl</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id>kg</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>m</ml:id> <ml:id>sec</ml:id> </ml:apply> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="95"/> </region> <region region-id="5180" left="684" top="2030.25" width="101.25" height="15.75" align-x="739.5" align-y="2040" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>518.67</ml:real> <ml:id>R</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>kt</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="96"/> </region> <region region-id="5218" left="18" top="2042.25" width="87.75" height="12" align-x="18" align-y="2052" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Pressure Functions: </text> </region> <region region-id="5219" left="156" top="2034.75" width="90.75" height="34.5" align-x="207.75" align-y="2052" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="qM">P</ml:id> <ml:boundVars> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:apply> <ml:div/> <ml:id>q</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:apply> <ml:pow/> <ml:id>M</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="97"/> </region> <region region-id="6302" left="546" top="2066.25" width="77.25" height="15.75" align-x="577.5" align-y="2076" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="h">a</ml:id> <ml:id>sl</ml:id> </ml:apply> <ml:unitOverride> <ml:id>kt</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="98"/> </region> <region region-id="5419" left="540" top="2091" width="154.5" height="21" align-x="609.75" align-y="2106" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="T">a</ml:id> <ml:apply> <ml:id>T</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>140000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="99"/> </region> <region region-id="5195" left="18" top="2102.25" width="78.75" height="12" align-x="18" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> Altitude Functions </text> </region> <region region-id="5196" left="114" top="2102.25" width="153.75" height="31.5" align-x="144.75" align-y="2112" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="p">H</ml:id> <ml:boundVars> <ml:id>p</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>P</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>p</ml:id> </ml:apply> <ml:id>H</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="100"/> </region> <region region-id="5420" left="540" top="2120.25" width="89.25" height="13.5" align-x="583.5" align-y="2130" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>P</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>6000</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:apply> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="101"/> </region> <region region-id="5184" left="678" top="2127.75" width="124.5" height="20.25" align-x="735" align-y="2142" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="p">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1000</ml:real> <ml:id>psf</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="102"/> </region> <region region-id="5421" left="540" top="2133.75" width="114.75" height="20.25" align-x="603" align-y="2148" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="p">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>11.777</ml:real> <ml:id>psi</ml:id> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="103"/> </region> <region region-id="5197" left="120" top="2150.25" width="154.5" height="31.5" align-x="151.5" align-y="2160" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="ρ">H</ml:id> <ml:boundVars> <ml:id>d</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>ρ</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>d</ml:id> </ml:apply> <ml:id>H</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="104"/> </region> <region region-id="6377" left="354" top="2171.25" width="174" height="31.5" align-x="354" align-y="2184" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> <c val="#f00">this is not as accurate as you would like !!!! >>>>>>>>></c> </f> </text> </region> <region region-id="5422" left="540" top="2169" width="147.75" height="18.75" align-x="584.25" align-y="2184" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id>ρ</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>100</ml:real> <ml:id>kft</ml:id> </ml:apply> </ml:apply> </ml:eval> <resultFormat> <general radix="dec" complex-threshold="10" precision="5" show-trailing-zeros="false" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="true"/> </resultFormat> </math> <rendering item-idref="105"/> </region> <region region-id="5198" left="108" top="2198.25" width="220.5" height="33.75" align-x="159.75" align-y="2208" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="qM">H</ml:id> <ml:boundVars> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id>p</ml:id> <ml:apply> <ml:id subscript="qM">P</ml:id> <ml:sequence> <ml:id>q</ml:id> <ml:id>M</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id>H</ml:id> <ml:apply> <ml:id>root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id>P</ml:id> <ml:id>H</ml:id> </ml:apply> <ml:id>p</ml:id> </ml:apply> <ml:id>H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id>ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>150</ml:real> <ml:id>kft</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:localDefine> </ml:program> </ml:globalDefine> </math> <rendering item-idref="106"/> </region> <region region-id="6370" left="540" top="2196.75" width="150.75" height="34.5" align-x="623.25" align-y="2214" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="ρ">H</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.00103734</ml:real> <ml:apply> <ml:div/> <ml:id>lb</ml:id> <ml:apply> <ml:pow/> <ml:id>ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:eval> </math> <rendering item-idref="107"/> </region> <region region-id="6374" left="372" top="2235.75" width="138" height="20.25" align-x="442.5" align-y="2250" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="qM">H</ml:id> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.22</ml:real> <ml:id>atm</ml:id> </ml:apply> <ml:real>5</ml:real> </ml:sequence> </ml:apply> </ml:eval> </math> <rendering item-idref="108"/> </region> <region region-id="6379" left="576" top="2258.25" width="50.25" height="243" align-x="580.5" align-y="2268" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id subscript="a">q</ml:id> </ml:eval> <resultFormat> <table item-idref="109"/> </resultFormat> </math> <rendering item-idref="110"/> </region> <region region-id="5266" left="12" top="2274" width="247.5" height="181.5" align-x="12" align-y="2274" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="111"/> <rendering item-idref="112"/> </region> <region region-id="6371" left="288" top="2280" width="267.75" height="183.75" align-x="288" align-y="2280" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="113"/> <rendering item-idref="114"/> </region> <region region-id="1981" left="672" top="2282.25" width="79.5" height="13.5" align-x="700.5" align-y="2292" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:mult style="auto-select"/> <ml:real>.3</ml:real> <ml:id>atm</ml:id> </ml:apply> <ml:unitOverride> <ml:id>psf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="115"/> </region> <region region-id="6381" left="624" top="2373" width="126" height="18.75" align-x="645.75" align-y="2388" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:id>atm</ml:id> </ml:eval> </math> <rendering item-idref="116"/> </region> <region region-id="5470" left="0" top="2580" width="6000" height="6" align-x="0" align-y="2580" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="5452" left="18" top="2606.25" width="85.5" height="12" align-x="18" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Arial" charset="0"> <inlineAttr line-through="false">Dynamic Pressure</inlineAttr> </f> </text> </region> <region region-id="5453" left="168" top="2593.5" width="105" height="33.75" align-x="218.25" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="hM">q</ml:id> <ml:boundVars> <ml:id>h</ml:id> <ml:id>M</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:id>γ</ml:id> <ml:apply> <ml:id>P</ml:id> <ml:id>h</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id>M</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="117"/> </region> <region region-id="6111" left="306" top="2593.5" width="84.75" height="33.75" align-x="348.75" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:globalDefine> <ml:function> <ml:id subscript="hv">q</ml:id> <ml:boundVars> <ml:id>h</ml:id> <ml:id>v</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id>ρ</ml:id> <ml:id>h</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id>v</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:globalDefine> </math> <rendering item-idref="118"/> </region> <region region-id="6122" left="540" top="2606.25" width="93.75" height="15.75" align-x="604.5" align-y="2616" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="hM">q</ml:id> <ml:sequence> <ml:id>sl</ml:id> <ml:real>1.195</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id>atm</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="119"/> </region> <region region-id="6123" left="540" top="2624.25" width="105.75" height="15.75" align-x="604.5" align-y="2634" show-border="false" show-highlight="false" is-protected="true" background-color="inherit" tag=""> <math optimize="false" export="false" disable-calc="false"> <ml:eval> <ml:apply> <ml:id subscript="hM">q</ml:id> <ml:sequence> <ml:id>sl</ml:id> <ml:real>1.195</ml:real> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id>psi</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="120"/> </region> <region region-id="6118" left="6" top="2646" width="229.5" height="173.25" align-x="6" align-y="2646" show-border="false" show-highlight="false" is-protected="true" 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