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show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="maxInWater">cableWeight</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">maxLength</ml:id> <ml:id xml:space="preserve" subscript="water">Weight</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="60"/> </region> <region region-id="457" left="498" top="765" width="350.25" height="60.75" align-x="562.5" align-y="774" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedUDScalar" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">barrelPressure</ml:id> <ml:program> <ml:for> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>1</ml:real> <ml:id 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background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">circumference</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:id xml:space="preserve">ID</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.758066307311217</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="104"/> </region> <region region-id="634" left="642" top="1274.25" width="85.5" height="27.75" align-x="688.5" align-y="1290" 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/math30"> <ml:id xml:space="preserve">lineSpeed</ml:id> <ml:apply> <ml:mult/> <ml:real>0.1</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="105"/> </region> <region region-id="641" left="774" top="1281" width="33" height="12.75" align-x="794.25" align-y="1290" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">rev</ml:id> <ml:real>1</ml:real> </ml:define> </math> <rendering item-idref="106"/> </region> <region region-id="362" left="30" top="1322.25" width="173.25" height="27.75" align-x="68.25" align-y="1338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This value has units: Unitless, but must have units: Length^2." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="cable">Ixx</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">mass</ml:id> <ml:real>48</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">OD</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>3</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ID</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">W</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="107"/> </region> <region region-id="363" left="234" top="1329" width="54.75" height="16.5" align-x="270.75" align-y="1338" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="cable">Ixx</ml:id> </ml:eval> </math> <rendering item-idref="108"/> </region> <region region-id="637" left="528" top="1322.25" width="173.25" height="27.75" align-x="584.25" align-y="1338" 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/math30"> <ml:id xml:space="preserve">winchSpeed</ml:id> <ml:eval placeholderMultiplicationStyle="default"> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lineSpeed</ml:id> <ml:id xml:space="preserve">circumference</ml:id> </ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">s</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.13191458192448849</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolution"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </ml:define> </math> <rendering item-idref="109"/> </region> <region region-id="643" left="528" top="1358.25" width="101.25" height="27.75" align-x="582.75" align-y="1374" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">winchSpeed</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>7.9148749154693094</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="110"/> </region> <region region-id="331" left="24" top="1371" width="78.75" height="16.5" align-x="73.5" align-y="1380" 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/math30"> <ml:id xml:space="preserve" subscript="period">Acc</ml:id> <ml:apply> <ml:mult/> <ml:real>5</ml:real> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="111"/> </region> <region region-id="332" left="138" top="1364.25" width="72.75" height="27.75" align-x="173.25" align-y="1380" 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/math30"> <ml:id xml:space="preserve" subscript="payin">V</ml:id> <ml:apply> <ml:mult/> <ml:real>30</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="112"/> </region> <region region-id="334" left="246" top="1360.5" width="85.5" height="46.5" align-x="283.5" align-y="1380" 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/math30"> <ml:id xml:space="preserve">winchω</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="payin">V</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">OD</ml:id> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="113"/> </region> <region region-id="335" left="360" top="1364.25" width="84" height="27.75" align-x="396" align-y="1380" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">winchω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rad</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.4475673315295145</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="radian"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="114"/> </region> <region region-id="336" left="360" top="1394.25" width="88.5" height="27.75" align-x="396" align-y="1410" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">winchω</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>26.854039891770871</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="minute" power-numerator="-1"/> <unitReference unit="revolution"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="115"/> </region> <region region-id="337" left="30" top="1418.25" width="77.25" height="31.5" align-x="53.25" align-y="1434" 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/math30"> <ml:id xml:space="preserve">Acc</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">winchω</ml:id> <ml:id xml:space="preserve" subscript="period">Acc</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="116"/> </region> <region region-id="338" left="138" top="1418.25" width="69" height="33.75" align-x="159.75" align-y="1434" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">Acc</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rad</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">sec</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.0895134663059029</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="radian"/> <unitReference unit="second" power-numerator="-2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="117"/> </region> <region region-id="385" left="360" top="1421.25" width="63.75" height="42.75" align-x="374.25" align-y="1452" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>1750</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> <ml:id xml:space="preserve">winchω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="118"/> </region> <region region-id="386" left="468" top="1443" width="51" height="12.75" align-x="480.75" align-y="1452" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>65.167103610964276</ml:real> </result> </ml:eval> </math> <rendering item-idref="119"/> </region> <region region-id="339" left="30" top="1479" width="156.75" height="16.5" align-x="127.5" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="cable">Ixx</ml:id> <ml:id xml:space="preserve">Acc</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="120"/> </region> <region region-id="344" left="210" top="1479" width="132.75" height="16.5" align-x="306" align-y="1488" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="121"/> </region> <region region-id="378" left="30" top="1509" width="227.25" height="16.5" align-x="139.5" align-y="1518" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">inertialTorque</ml:id> <ml:apply> <ml:mult/> <ml:real>0.05</ml:real> <ml:id xml:space="preserve" subscript="fullDrum">inertialTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="122"/> </region> <region region-id="525" left="318" top="1527" width="132" height="16.5" align-x="423" align-y="1536" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="maxInWater">cableWeight</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="123"/> </region> <region region-id="345" left="30" top="1533" width="97.5" height="12.75" align-x="90.75" align-y="1542" 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/math30"> <ml:id xml:space="preserve">clumpWeight</ml:id> <ml:apply> <ml:mult/> <ml:real>200</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="124"/> </region> <region region-id="351" left="24" top="1556.25" width="169.5" height="27.75" align-x="111.75" align-y="1572" 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/math30"> <ml:id xml:space="preserve" subscript="fullDrum">loadTorque</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">OD</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">clumpWeight</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="125"/> </region> <region region-id="352" left="204" top="1563" width="147.75" height="16.5" align-x="290.25" align-y="1572" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="fullDrum">loadTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>116.66666666666666</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="126"/> </region> <region region-id="353" left="24" top="1592.25" width="297" height="27.75" align-x="123.75" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ID</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">clumpWeight</ml:id> <ml:id xml:space="preserve" subscript="maxInWater">cableWeight</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="127"/> </region> <region region-id="374" left="318" top="1599" width="135" height="16.5" align-x="416.25" align-y="1608" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="128"/> </region> <region region-id="380" left="30" top="1635" width="270" height="16.5" align-x="84" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="emptyDrum">inertialTorque</ml:id> <ml:id xml:space="preserve" subscript="emptyDrum">loadTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="129"/> </region> <region region-id="381" left="300" top="1635" width="90" height="12.75" align-x="352.5" align-y="1644" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="130"/> </region> <region region-id="465" left="300" top="1653" width="74.25" height="12.75" align-x="352.5" align-y="1662" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">m</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="131"/> </region> <region region-id="384" left="36" top="1665" width="38.25" height="12.75" align-x="54.75" align-y="1674" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">eff</ml:id> <ml:real>0.8</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="524" left="306" top="1671" width="89.25" height="12.75" align-x="358.5" align-y="1680" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">ft</ml:id> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="133"/> </region> <region region-id="382" left="36" top="1688.25" width="160.5" height="27.75" align-x="104.25" align-y="1704" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">maxPowerReqd</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:id xml:space="preserve">winchω</ml:id> </ml:apply> <ml:id xml:space="preserve">eff</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="383" left="36" top="1725" width="92.25" height="12.75" align-x="102.75" align-y="1734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">maxPowerReqd</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">hp</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="135"/> </region> <region region-id="481" left="180" top="1725" width="84.75" height="12.75" align-x="246.75" align-y="1734" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">maxPowerReqd</ml:id> </ml:eval> </math> <rendering item-idref="136"/> </region> <region region-id="484" left="30" top="1755" width="126" height="16.5" align-x="114" align-y="1764" 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/math30"> <ml:id xml:space="preserve" subscript="tmp050">ContTorque</ml:id> <ml:apply> <ml:mult/> <ml:real font="0">428</ml:real> <ml:id xml:space="preserve">N·m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="137"/> </region> <region region-id="487" left="180" top="1755" width="141" height="16.5" align-x="235.5" align-y="1764" 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/math30"> <ml:id xml:space="preserve">ContTorque</ml:id> <ml:id xml:space="preserve" subscript="tmp050">ContTorque</ml:id> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="533" left="564" top="1779" width="60.75" height="12.75" align-x="582.75" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">OD</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.35559999999999997</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="139"/> </region> <region region-id="537" left="642" top="1779" width="57" height="12.75" align-x="657" align-y="1788" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ID</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.2413</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="140"/> </region> <region region-id="492" left="330" top="1791" width="86.25" height="12.75" align-x="384" align-y="1800" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">ContTorque</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>428</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="joule"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="141"/> </region> <region region-id="488" left="36" top="1796.25" width="93" height="27.75" align-x="69" align-y="1812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="reqd">N</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">totalTorque</ml:id> <ml:id xml:space="preserve">ContTorque</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="142"/> </region> <region region-id="490" left="180" top="1803" width="49.5" height="16.5" align-x="211.5" align-y="1812" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="reqd">N</ml:id> </ml:eval> </math> <rendering item-idref="143"/> </region> <region region-id="527" left="492" top="1802.25" width="112.5" height="27.75" align-x="567" align-y="1818" 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/math30"> <ml:id xml:space="preserve" subscript="tpma50">maxSpeed</ml:id> <ml:apply> <ml:mult/> <ml:real>23</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">rev</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="144"/> </region> <region region-id="545" left="480" top="1833" width="57.75" height="12.75" align-x="525" align-y="1842" 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/math30"> <ml:id xml:space="preserve">gearRatio</ml:id> <ml:real>3</ml:real> </ml:define> </math> <rendering item-idref="145"/> </region> <region region-id="530" left="0" top="1860" width="6000" height="6" align-x="0" align-y="1860" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="466" left="36" top="1881" width="39" height="12.75" align-x="47.25" align-y="1890" 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/math30"> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult/> <ml:real>27</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="146"/> </region> <region region-id="467" left="108" top="1881" width="32.25" height="16.5" align-x="123" align-y="1890" 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/math30"> <ml:id xml:space="preserve" subscript="1">z</ml:id> <ml:real>36</ml:real> </ml:define> </math> <rendering item-idref="147"/> </region> <region region-id="468" left="186" top="1881" width="36.75" height="16.5" align-x="201" align-y="1890" 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/math30"> <ml:id xml:space="preserve" subscript="2">z</ml:id> <ml:real>216</ml:real> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="469" left="270" top="1881" width="43.5" height="12.75" align-x="279.75" align-y="1890" 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/math30"> <ml:id xml:space="preserve">t</ml:id> <ml:apply> <ml:mult/> <ml:real>20</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="149"/> </region> <region region-id="474" left="366" top="1881" width="81.75" height="12.75" align-x="378" align-y="1890" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This variable is undefined." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">P</ml:id> <ml:id xml:space="preserve">maxPowerReqd</ml:id> </ml:define> </math> <rendering item-idref="150"/> </region> <region region-id="544" left="480" top="1880.25" width="237" height="27.75" align-x="567" align-y="1896" 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/math30"> <ml:id xml:space="preserve" subscript="umbOuter">maxSpeed</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="tpma50">maxSpeed</ml:id> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">OD</ml:id> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">gearRatio</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="151"/> </region> <region region-id="541" left="474" top="1904.25" width="133.5" height="27.75" align-x="559.5" align-y="1920" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="umbOuter">maxSpeed</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>8.5648193317267314</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="minute" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="152"/> </region> <region region-id="479" left="42" top="1917" width="29.25" height="16.5" align-x="58.5" align-y="1926" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math error="This placeholder is empty." optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="0">d</ml:id> <ml:placeholder/> </ml:define> </math> <rendering item-idref="153"/> </region> <region region-id="542" left="474" top="1934.25" width="235.5" height="27.75" align-x="559.5" align-y="1950" 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/math30"> <ml:id xml:space="preserve" subscript="umbInner">maxSpeed</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="tpma50">maxSpeed</ml:id> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ID</ml:id> <ml:id xml:space="preserve">rev</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">gearRatio</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="154"/> </region> <region region-id="543" left="480" top="1964.25" width="132" height="27.75" align-x="564" align-y="1980" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="umbInner">maxSpeed</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">min</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5.8118416893859965</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="minute" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="155"/> </region> <region region-id="477" left="48" top="1960.5" width="183" height="37.5" align-x="65.25" align-y="1986" 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/math30"> <ml:id xml:space="preserve" subscript="b">L</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">t</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="2">z</ml:id> <ml:id xml:space="preserve" subscript="1">z</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">a</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve" subscript="2">z</ml:id> <ml:id xml:space="preserve" subscript="1">z</ml:id> </ml:apply> </ml:parens> <ml:id xml:space="preserve">t</ml:id> </ml:apply> <ml:id xml:space="preserve">π</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="156"/> </region> <region region-id="478" left="264" top="1977" width="53.25" height="16.5" align-x="279.75" align-y="1986" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="b">L</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.3702827573653753</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="157"/> </region> <region region-id="557" left="474" top="2005.5" width="232.5" height="46.5" align-x="518.25" align-y="2040" 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/math30"> <ml:id xml:space="preserve">totalTime</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve" subscript="umbInner">maxSpeed</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve" subscript="umbOuter">maxSpeed</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="158"/> </region> <region region-id="558" left="714" top="2031" width="92.25" height="12.75" align-x="756.75" align-y="2040" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval 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