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list-style-type="inherit" tabs="inherit"> <f size="20"> <b>Bearcraft Systems Inc.,</b> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <f size="20"> <b>UC Aircraft Design 2006 </b> </f> </p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"> <f size="20"> <b>Aircraft Performance Model</b> </f> </p> </text> </region> <region region-id="17133" left="222" top="194.25" width="237.75" height="12" align-x="239.25" align-y="204" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">modified Jan, 07, 2006, 22:01 by Charles W. Barbour II</p> </text> </region> <region region-id="17442" left="240" top="236.25" width="331.5" height="48" align-x="267.75" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Modifications: - got rid of scratch work</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <tab/> <sp count="9"/>- organized many of the sections for an easier read</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <tab/> <sp count="9"/>- fixed rate of climb graph by correcting the climb rates (75fps)</p> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <tab/> <sp count="9"/>- added an arbitrary V_cruise speed </p> </text> </region> <region region-id="17059" left="24" top="498.75" width="739.5" height="10.5" align-x="23.25" align-y="498" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <reference> <originRef doc-id="24afa831-80af-4b43-a834-3b2bc527e0ef" version-id="228d19fb-d988-4b0d-badc-b4ab97307a7b" branch-id="00000000-0000-0000-0000-000000000000" revision-num="40" is-modified="true" region-id="0" href="C:\Documents and Settings\Charles W. 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</region> <region region-id="16240" left="6" top="440.25" width="61.5" height="12" align-x="6" align-y="450" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">Climb Angle:</inlineAttr> </b> </f> </p> </text> </region> <region region-id="17266" left="6" top="474" width="379.5" height="280.5" align-x="6" align-y="474" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="20"/> </region> <region region-id="17267" left="420" top="596.25" width="178.5" height="15.75" align-x="554.25" align-y="606" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="c">γ</ml:id> <ml:sequence> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>11.2897875215563</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> </area> <rendering item-idref="21"/> </region> <region region-id="17412" left="18" top="911.25" width="153.75" height="15.75" align-x="18" align-y="924" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="14"> <b> <inlineAttr font-style="normal" underline="false" line-through="false">Take Off Performance:</inlineAttr> </b> </f> </p> </text> </region> <region region-id="17553" left="0" top="933" width="6008.25" align-x="0" align-y="933" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="1436.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17394" bottom-lock-id="17400"> <region region-id="6280" left="24" top="22.5" width="33" height="15.75" align-x="38.25" align-y="32.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="r">μ</ml:id> <ml:real>.04</ml:real> </ml:define> </math> </region> <region region-id="6285" left="216" top="22.5" width="112.5" height="12" align-x="216" align-y="32.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Rolling Friction Coefficient</p> </text> </region> <region region-id="17294" left="366" top="22.5" width="59.25" height="15.75" align-x="397.5" align-y="32.25" show-border="false" show-highlight="false" 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<ml:real>510</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17296" left="564" top="28.5" width="81.75" height="15.75" align-x="612" align-y="38.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">deg</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>-2</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="degree"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17303" left="360" top="51" width="129" height="29.25" align-x="445.5" align-y="68.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>48.360452042784658</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17387" left="6" top="129" width="253.5" height="13.5" align-x="6" align-y="140.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <i> <u> <inlineAttr line-through="false">Method 3 - From Raymer, pg. 565, eq. 17.101 </inlineAttr> </u> </i> </b> </f> <f family="Arial" charset="0" size="12"> <inlineAttr line-through="false">:</inlineAttr> </f> </p> </text> </region> <region region-id="17386" left="36" top="160.5" width="96.75" height="15.75" align-x="103.5" align-y="170.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="L">C</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.35181714998458435</ml:real> </result> </ml:eval> </math> </region> <region region-id="6310" left="228" top="160.5" width="288" height="24" align-x="228" align-y="170.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The lift coefficient when the aircraft is rolling (all wheels on the ground).</p> </text> </region> <region region-id="6312" left="222" top="202.5" width="294" height="24" align-x="222" align-y="212.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The drag coefficient when the aircraft is rolling(all wheels on the ground).</p> </text> </region> <region region-id="17385" left="36" top="208.5" width="97.5" height="15.75" align-x="104.25" align-y="218.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="D">C</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <ml:real>0.019990430266805345</ml:real> </result> </ml:eval> </math> </region> <region region-id="17388" left="42" top="246.75" width="348.75" height="51.75" align-x="171" align-y="266.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="A">K</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">ρ</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="w">S</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="r">μ</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="L">C</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="D">C</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> </region> <region region-id="9160" left="48" top="316.5" width="330.75" height="12" align-x="48" align-y="326.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">The thrust (lbf) decreases with increasing velocity (ft/s) as shown here again.</p> </text> </region> <region region-id="16501" left="18" top="338.25" width="349.5" height="214.5" align-x="18" align-y="338.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="22"/> </region> <region region-id="17390" left="522" top="382.5" width="189" height="72" align-x="522" align-y="392.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This method (Method 3) takes into account the decrease in thrust with increasing velocity.<sp count="2"/>F_avg is the average thrust per velocity range<sp count="2"/>By feeding in the effective thrust decrease, an accurate distance may be calculated.<sp count="2"/> </p> </text> </region> <region region-id="14561" left="24" top="600.75" width="522" height="117.75" align-x="185.25" align-y="620.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define 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<ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:program> </ml:define> </math> </region> <region region-id="17290" left="12" top="742.5" width="863.25" height="15.75" align-x="169.5" align-y="752.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="groundroll">S</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="fus">α</ml:id> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="G">S</ml:id> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>1</ml:real> <ml:id xml:space="preserve">fps</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>.25</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="fus">α</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="G">S</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:real>.25</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>.5</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="fus">α</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="G">S</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:real>.5</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:real>.75</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="fus">α</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="G">S</ml:id> <ml:sequence> <ml:apply> <ml:mult style="default"/> <ml:real>.75</ml:real> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="fus">α</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="17332" left="24" top="772.5" width="114.75" height="15.75" align-x="57" align-y="782.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="array">W</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>26</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>50</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="17331" left="24" top="790.5" width="178.5" height="15.75" align-x="93" align-y="800.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="Liftoff">V</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="array">W</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:real font="0">1.2</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="stall">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="array">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="17367" left="24" top="814.5" width="290.25" height="15.75" align-x="269.25" align-y="824.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="groundroll">S</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>155.88086723217256</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17368" left="564" top="814.5" width="165" height="36" align-x="564" align-y="824.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is the distance that the aircraft consumes while the wheels are in contact with the ground.<sp count="2"/> </p> </text> </region> <region region-id="17369" left="24" top="868.5" width="261" height="15.75" align-x="171" align-y="878.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="Rotate">S</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> <ml:real>.2</ml:real> </ml:apply> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17370" left="564" top="868.5" width="174" height="24" align-x="564" align-y="878.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">An assumption is made here that states that the time to rotate is 2/10 seconds.</p> </text> </region> <region region-id="17371" left="24" top="910.5" width="523.5" height="15.75" align-x="209.25" align-y="920.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve">Groundroll</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve" subscript="groundroll">S</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:id xml:space="preserve" subscript="LO">V</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="Rotate">S</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="17372" left="564" top="910.5" width="228" height="36" align-x="564" align-y="920.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is the ground roll distance of the aircraft.<sp count="2"/>Note that the total distance to takeoff is the sum of the groundroll and the rotation (see below) distances.</p> </text> </region> <region region-id="17375" left="24" top="952.5" width="67.5" height="15.75" align-x="48.75" align-y="962.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="d1">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>41.193</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17376" left="150" top="952.5" width="108" height="15.75" align-x="176.25" align-y="962.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="var">W</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>25</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>30</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="17379" left="24" top="976.5" width="67.5" height="15.75" align-x="48.75" align-y="986.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="d2">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>37.213</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17380" left="144" top="976.5" width="98.25" height="15.75" align-x="162.75" align-y="986.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="aa">v</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id xml:space="preserve">fps</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5</ml:real> <ml:id xml:space="preserve">fps</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>60</ml:real> <ml:id xml:space="preserve">fps</ml:id> </ml:apply> </ml:range> </ml:define> </math> </region> <region region-id="17381" left="24" top="1000.5" width="353.25" height="15.75" align-x="332.25" align-y="1010.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">Groundroll</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>10</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>104.47942737539519</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> </region> <region region-id="17383" left="6" top="1070.25" width="349.5" height="268.5" align-x="6" align-y="1070.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="23"/> </region> <region region-id="17433" left="84" top="1162.5" width="96.75" height="12" align-x="99.75" align-y="1172.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#fff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Takeoff Runway Limit </p> </text> </region> <region region-id="17278" left="150" top="1180.5" width="78" height="12" align-x="171" align-y="1190.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#fff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0"> <b> <inlineAttr line-through="false">Groundroll Limit</inlineAttr> </b> </f> </p> </text> </region> <region region-id="17434" left="150" top="1246.5" width="146.25" height="12" align-x="165.75" align-y="1256.25" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#fff" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Takeoff Velocity for 55 lbf +/- 10 </p> </text> </region> <region region-id="17405" left="48" top="1384.5" width="80.25" height="12" align-x="69.75" align-y="1394.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Take Off Distance:</p> </text> </region> <region region-id="17404" left="186" top="1384.5" width="296.25" height="15.75" align-x="432.75" align-y="1394.25" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve">Groundroll</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math20"> <unitedValue> <ml:real>165.55295764072952</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat> <general precision="4" show-trailing-zeros="false" radix="dec" complex-threshold="10" exponential-threshold="3"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true"/> </resultFormat> </math> </region> </area> <rendering item-idref="24"/> </region> <region region-id="17535" left="18" top="951.75" width="153.75" height="15.75" align-x="18" align-y="964.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="14"> <b> <inlineAttr font-style="normal" underline="false" line-through="false">Altitude Performance:</inlineAttr> </b> </f> </p> </text> </region> <region region-id="17524" left="0" top="981" width="6008.25" align-x="8.25" align-y="990" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="428.25"> <area is-collapsed="false" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17524" bottom-lock-id="17525" bottom-tag=""> <region region-id="17547" left="18" top="1005.75" width="80.25" height="15.75" align-x="55.5" align-y="1015.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="empty">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>11.312</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="17545" left="12" top="1035.75" width="704.25" height="15.75" align-x="82.5" align-y="1045.5" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="payload">W</ml:id> <ml:boundVars> <ml:id xml:space="preserve" subscript="pay">h</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">root</ml:id> <ml:sequence> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">Groundroll</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="pay">W</ml:id> <ml:id xml:space="preserve" subscript="pay">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="pay">W</ml:id> <ml:id xml:space="preserve" subscript="pay">h</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> <ml:apply> <ml:id xml:space="preserve">Groundroll</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> <ml:id xml:space="preserve" subscript="groundroll">α</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="LO">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:sequence> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="pay">W</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>40</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>55</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:sequence> </ml:apply> <ml:id xml:space="preserve" subscript="empty">W</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="17554" left="6" top="1070.25" width="114.75" height="15.75" align-x="45.75" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="paylaod">h</ml:id> <ml:range> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>0</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:real>500</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>5000</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="17555" left="288" top="1070.25" width="81" height="29.25" align-x="327.75" align-y="1080" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="interrupted" optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="payload">W</ml:id> <ml:id xml:space="preserve" subscript="paylaod">h</ml:id> </ml:apply> </ml:eval> <resultFormat> <table item-idref="28"/> </resultFormat> </math> <rendering item-idref="29"/> </region> <region region-id="17542" left="24" top="1110" width="324" height="251.25" align-x="24" align-y="1110" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="30"/> <rendering item-idref="31"/> </region> </area> <rendering item-idref="32"/> </region> <region region-id="5838" left="12" top="1469.25" width="69" height="13.5" align-x="12" align-y="1480.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <i> <u> <inlineAttr line-through="false">Vn Diagram </inlineAttr> </u> </i> </b> </f> </p> </text> </region> <region region-id="17515" left="0" top="1492.5" width="6008.25" align-x="0" align-y="1492.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="602.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17512" bottom-lock-id="17514"> <region region-id="17413" left="546" top="3" width="47.25" height="15" align-x="576" align-y="12" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="L.min">C</ml:id> </ml:eval> </math> </region> <region region-id="17414" left="474" top="9" width="45.75" height="15" align-x="502.5" align-y="18" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="#ffff80" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="max">gd</ml:id> </ml:eval> </math> </region> <region region-id="17415" left="138" top="14.25" width="265.5" height="12" align-x="138" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">Taken from Anderson's "Introduction to Flight" page 332-333. </p> </text> </region> <region region-id="17416" left="546" top="33" width="68.25" height="15" align-x="564.75" align-y="42" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="ne">V</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1.15</ml:real> <ml:id xml:space="preserve" subscript="max">V</ml:id> </ml:apply> </ml:define> </math> </region> <region region-id="17417" left="474" top="45" width="45" height="15" align-x="501.75" align-y="54" show-border="false" show-highlight="true" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="min">gd</ml:id> </ml:eval> </math> </region> <region region-id="17418" left="576" top="57" width="35.25" height="15" align-x="594" align-y="66" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve" subscript="ne">V</ml:id> </ml:eval> </math> </region> <region region-id="17419" left="24" top="132" width="213.75" height="123" align-x="81.75" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="max">n</ml:id> <ml:boundVars> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.5</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ρ</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="w">S</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="L.max">C</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:lessThan/> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="max">gd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="ne">V</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="max">gd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:otherwise> </ml:program> </ml:define> </math> </region> <region region-id="17420" left="294" top="132" width="212.25" height="123" align-x="351" align-y="150" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="min">n</ml:id> <ml:boundVars> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:real>.5</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">ρ</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="w">S</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="L.min">C</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:localDefine> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="min">gd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:ifThen> <ml:ifThen> <ml:apply> <ml:greaterThan/> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="ne">V</ml:id> </ml:apply> <ml:real>0</ml:real> </ml:ifThen> <ml:otherwise> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="min">gd</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="flt">W</ml:id> </ml:apply> </ml:apply> </ml:otherwise> </ml:program> </ml:define> </math> </region> <region region-id="16963" left="6" top="288" width="313.5" height="230.25" align-x="6" align-y="288" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="33"/> </region> <region region-id="16965" left="24" top="321" width="3" height="12.75" align-x="24.75" align-y="330" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:real xmlns:ml="http://schemas.mathsoft.com/math20">.</ml:real> </math> </region> </area> <rendering item-idref="34"/> </region> <region region-id="5853" left="12" top="1523.25" width="167.25" height="13.5" align-x="12" align-y="1534.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit"> <f family="Arial" charset="0" size="12"> <b> <i> <u> <inlineAttr line-through="false">Turning Flight<sp count="5"/>(Level Flight)</inlineAttr> </u> </i> </b> </f> </p> </text> </region> <region region-id="17520" left="0" top="1558.5" width="6008.25" align-x="0" align-y="1558.5" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag="" height="548.25"> <area is-collapsed="true" name="" show-name="false" show-border="true" show-icon="true" show-timestamp="true" allow-expand="false" is-locked="false" timestamp="" top-lock-id="17516" bottom-lock-id="17518"> <region region-id="6381" left="24" top="9" width="112.5" height="15" align-x="36" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="#80ffff" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V</ml:id> <ml:apply> <ml:mult style="default"/> <ml:real>1.4</ml:real> <ml:apply> <ml:id xml:space="preserve" subscript="stall">V</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:sequence> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="16545" left="162" top="15" width="28.5" height="12.75" align-x="173.25" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">V</ml:id> </ml:eval> </math> </region> <region region-id="17439" left="612" top="15" width="27.75" height="12.75" align-x="622.5" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:id xml:space="preserve">g</ml:id> </ml:eval> </math> </region> <region region-id="16848" left="24" top="38.25" width="147.75" height="43.5" align-x="61.5" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="min">R</ml:id> <ml:boundVars> <ml:id xml:space="preserve">V</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">g</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:apply> <ml:id xml:space="preserve" subscript="max">n</ml:id> <ml:sequence> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> </ml:sequence> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="16595" left="258" top="50.25" width="123" height="24" align-x="258" align-y="60" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is the maximum turning radius for the aircraft.</p> </text> </region> <region region-id="16596" left="432" top="63" width="54" height="15" align-x="468.75" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="min">R</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:eval> </math> </region> <region region-id="6379" left="24" top="86.25" width="144.75" height="36" align-x="82.5" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="R">F</ml:id> <ml:boundVars> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">V</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">g</ml:id> <ml:apply> <ml:id xml:space="preserve" subscript="min">R</ml:id> <ml:id xml:space="preserve">V</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="16597" left="258" top="98.25" width="126" height="48" align-x="258" align-y="108" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">This is the maximum allowable force while turning at the given maximum radius.</p> </text> </region> <region region-id="16598" left="432" top="111" width="97.5" height="15" align-x="505.5" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:apply> <ml:id xml:space="preserve" subscript="R">F</ml:id> <ml:sequence> <ml:apply> <ml:mult style="auto-select"/> <ml:real>75</ml:real> <ml:id xml:space="preserve">fps</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> </ml:sequence> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> </ml:eval> </math> </region> <region region-id="6378" left="24" top="165.75" width="203.25" height="53.25" align-x="63" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math20"> <ml:function> <ml:id xml:space="preserve" subscript="max">ω</ml:id> <ml:boundVars> <ml:id xml:space="preserve">V</ml:id> </ml:boundVars> </ml:function> <ml:apply> <ml:mult style="default"/> <ml:id xml:space="preserve">g</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:mult style="default"/> <ml:apply> <ml:id xml:space="preserve">ρ</ml:id> <ml:id xml:space="preserve" subscript="dsgn">h</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve" subscript="max">n</ml:id> <ml:sequence> <ml:id xml:space="preserve">V</ml:id> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="L.max">C</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:mult style="default"/> <ml:real>2</ml:real> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="dsgn">W</ml:id> <ml:id xml:space="preserve" subscript="w">S</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> </region> <region region-id="16599" left="258" top="176.25" width="116.25" height="12" align-x="258" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" 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