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xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="96"/> </region> <region region-id="2742" left="906" top="471" width="79.8" height="16.2" align-x="950.4" align-y="480" 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="mass">Buoy</ml:id> <ml:apply> <ml:mult/> <ml:real>680</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="97"/> </region> <region region-id="2658" left="1440" top="471" width="106.8" height="16.2" align-x="1515" align-y="480" 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="wt_h2o">SeaBattery</ml:id> <ml:apply> <ml:mult/> <ml:real>42</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="98"/> </region> <region region-id="2659" left="1314" top="477" width="106.8" height="16.2" align-x="1384.2" align-y="486" 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="wt_air">SeaBattery</ml:id> <ml:apply> <ml:mult/> <ml:real>108</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="99"/> </region> <region region-id="2660" left="1572" top="472.2" width="115.2" height="21" align-x="1645.2" align-y="486" 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="volume">SeaBattery</ml:id> <ml:apply> <ml:mult/> <ml:real>2089</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="100"/> </region> <region region-id="2668" left="1728" top="477" width="91.8" height="16.2" align-x="1778.4" align-y="486" 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="weight">Buoy</ml:id> <ml:apply> <ml:mult/> <ml:real>1500</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="101"/> </region> <region region-id="2748" left="1026" top="472.8" width="97.8" height="34.2" align-x="1075.8" align-y="492" 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="reqd">Abuoy</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="model">F</ml:id> <ml:id xml:space="preserve" subscript="mass">Buoy</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="102"/> </region> <region region-id="2749" left="1140" top="476.4" width="99.6" height="31.8" align-x="1188.6" align-y="492" 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="reqd">Abuoy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>78.498028504597059</ml:real> <unitMonomial 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disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="SW">NodeWtWBricks</ml:id> <ml:apply> <ml:mult/> <ml:real>2532</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="105"/> </region> <region region-id="2882" left="2508" top="501" width="355.8" height="16.2" align-x="2554.8" align-y="510" 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">ESPAirWt</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="no14x14with10PbBricks">ESPAirWt</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>14</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">LeadDensity</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:real>25</ml:real> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="106"/> </region> <region region-id="2936" left="2916" top="494.4" width="79.2" height="31.8" align-x="2944.8" align-y="510" 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:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> 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placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="SW">NodeWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kgf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>873.16531224999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="109"/> </region> <region region-id="2757" left="936" top="519" width="36" height="16.2" align-x="954" align-y="528" 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="d">C</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2</ml:real> 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<ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="114"/> </region> <region region-id="2716" left="2154" top="525" width="128.4" height="16.2" align-x="2239.2" align-y="534" 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="SW">NodeWtWBricks</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kgf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1148.49588084</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="115"/> </region> <region region-id="2884" left="2514" top="520.2" width="112.2" height="17.4" align-x="2559.6" align-y="534" 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">ESPAirWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2046.7199999999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="116"/> 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<ml:id xml:space="preserve" subscript="reqd">V</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="model">F</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="d">C</ml:id> <ml:id xml:space="preserve" subscript="ESP">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="121"/> </region> <region region-id="2759" left="1050" top="548.4" width="76.2" height="27" align-x="1080" align-y="564" 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="reqd">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>9.44072297090323</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="122"/> </region> <region region-id="2938" left="2916" top="555" width="75.6" height="12.6" align-x="2966.4" align-y="564" 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">BuoyHeight</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>28</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="123"/> </region> <region region-id="2726" left="1902" top="561" width="118.2" height="16.2" align-x="1979.4" align-y="570" 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="SW">NodeBuoyancy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4178.8952183042675</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="124"/> </region> <region region-id="2670" left="1326" top="568.2" width="144.6" height="21" align-x="1403.4" align-y="582" 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="volume">ESPHousing</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>15381.237631975622</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="125"/> </region> <region region-id="2675" left="1482" top="573" width="193.2" height="16.2" align-x="1569.6" align-y="582" 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="buoyancy">ESPHousing</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="volume">ESPHousing</ml:id> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="126"/> </region> <region region-id="2676" left="1692" top="573" width="134.4" height="16.2" align-x="1778.4" align-y="582" 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="buoyancy">ESPHousing</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>570.13020729763866</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="127"/> </region> <region region-id="2923" left="2514" top="573" width="549.6" height="16.2" align-x="2565" align-y="582" 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">ESPWetWt</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="no14x14with10PbBricks">ESPWetWt</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>14</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">LeadDensity</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:real>25</ml:real> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>14</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="2725" left="1902" top="579" width="130.2" height="16.2" align-x="1979.4" align-y="588" 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="SW">NodeBuoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>939.45301735141641</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="129"/> </region> <region region-id="2718" left="2166" top="579" width="150.6" height="16.2" align-x="2275.8" align-y="588" 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="SW">NodeBuoyancyWBricks</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4430.3379173736694</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="130"/> </region> <region region-id="1617" left="60" top="585" width="91.2" height="16.2" align-x="117" align-y="594" 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="length">Mission</ml:id> <ml:apply> <ml:mult/> <ml:real>14</ml:real> <ml:id xml:space="preserve">day</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="1190" left="240" top="585" width="27" height="12.6" align-x="253.8" align-y="594" 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">D</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="1189" left="306" top="585" width="72" height="16.2" align-x="343.8" align-y="594" 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="friction">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="133"/> </region> <region region-id="1188" left="420" top="585" width="52.2" height="12.6" align-x="446.4" align-y="594" 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">iCols</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>5</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="1505" left="498" top="585" width="102" height="16.2" align-x="558.6" align-y="594" 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="weight_air">ESP</ml:id> <ml:apply> <ml:mult/> <ml:real>1060</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="2705" left="1896" top="596.4" width="110.4" height="27" align-x="1944" align-y="612" 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">NodeMass</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeWt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="2941" left="2514" top="598.2" width="116.4" height="17.4" align-x="2563.8" align-y="612" 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">ESPWetWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1122.5274828051627</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="137"/> </region> <region region-id="2677" left="1326" top="609" width="260.4" height="16.2" align-x="1411.2" align-y="618" 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="est">TotalDisplacement</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="SW">NodeDisplNOESP</ml:id> <ml:id xml:space="preserve" subscript="volume">ESPHousing</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="2678" left="1680" top="609" width="135" height="16.2" align-x="1764" align-y="618" 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="est">TotalDisplacement</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>411.89274773039295</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="139"/> </region> <region region-id="1302" left="30" top="612.6" width="288" height="27.6" align-x="34.8" align-y="624" 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"> Hs, Gear ratio and ESP weight in water are defined gloablly below </text> </region> <region region-id="1584" left="324" top="615" width="34.2" height="12.6" align-x="340.2" align-y="624" 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">Hs</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="140"/> </region> <region region-id="1585" left="390" top="610.2" width="121.2" height="21" align-x="454.2" align-y="624" 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="weight_h2o">ESP</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2400</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="141"/> </region> <region region-id="1586" left="522" top="615" width="74.4" height="16.2" align-x="568.8" align-y="624" 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="gearhead">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>220</ml:real> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="2719" left="2166" top="608.4" width="175.2" height="27" align-x="2246.4" align-y="624" 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">NodeMassWBricks</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeWtWBricks</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="143"/> </region> <region region-id="2766" left="906" top="616.2" width="92.4" height="21" align-x="951" align-y="630" 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="7H375">EA</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3.2</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="144"/> </region> <region region-id="2768" left="1026" top="616.8" width="110.4" height="34.2" align-x="1092.6" align-y="636" 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:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="model">F</ml:id> <ml:id xml:space="preserve" subscript="7H375">EA</ml:id> </ml:apply> <ml:real>22</ml:real> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.36697828325899118</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="145"/> </region> <region region-id="2682" left="1680" top="622.2" width="151.2" height="21" align-x="1764" align-y="636" 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="est">TotalDisplacement</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>25135.237631975622</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="146"/> </region> <region region-id="2706" left="1890" top="633" width="102" height="12.6" align-x="1936.8" align-y="642" 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">NodeMass</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>873.16531224999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="147"/> </region> <region region-id="2942" left="2514" top="639" width="130.2" height="12.6" align-x="2563.8" align-y="648" 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">BuoyAirWt</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>1212</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:real>25</ml:real> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="2943" left="2682" top="634.2" width="115.2" height="17.4" align-x="2730.6" align-y="648" 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">BuoyAirWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1011.9999999999999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="149"/> </region> <region region-id="1145" left="24" top="642.6" width="122.4" height="13.8" align-x="43.8" align-y="654" 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"> TPMA110 Motor specs </text> </region> <region region-id="2720" left="2160" top="645" width="139.2" height="12.6" align-x="2239.2" align-y="654" 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">NodeMassWBricks</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1148.49588084</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="150"/> </region> <region region-id="2707" left="1890" top="651" width="91.2" height="12.6" align-x="1936.8" align-y="660" 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">NodeMass</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1924.9999999999998</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="151"/> </region> <region region-id="2683" left="1326" top="657" width="184.8" height="16.2" align-x="1398.6" align-y="666" 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="est">TotalBuoyancy</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="est">TotalDisplacement</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="152"/> </region> <region region-id="2684" left="1554" top="652.2" width="138" height="21" align-x="1625.4" align-y="666" 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="est">TotalBuoyancy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4144.309502908045</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="153"/> </region> <region region-id="2685" left="1722" top="657" width="124.2" height="16.2" align-x="1793.4" align-y="666" 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="est">TotalBuoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>931.67783922684418</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="154"/> </region> <region region-id="2721" left="2160" top="663" width="123.6" height="12.6" align-x="2239.2" align-y="672" 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">NodeMassWBricks</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2531.9999999999995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="155"/> </region> <region region-id="1092" left="54" top="662.4" width="96" height="27" align-x="106.2" align-y="678" 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="torque">K110</ml:id> <ml:apply> <ml:mult/> <ml:real>.56</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="156"/> </region> <region region-id="1139" left="168" top="669" width="88.8" height="16.2" align-x="217.2" align-y="678" 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="motor">R110</ml:id> <ml:apply> <ml:mult/> <ml:real>.13</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="157"/> </region> <region region-id="1140" left="276" top="662.4" width="123" height="27" align-x="330.6" align-y="678" 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="voltage">K110</ml:id> <ml:apply> <ml:mult/> <ml:real>35.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">volt</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="158"/> </region> <region region-id="1141" left="414" top="670.2" width="94.8" height="21" align-x="457.2" align-y="684" 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="rotor">J110</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>9.8</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="159"/> </region> <region region-id="2723" left="1896" top="674.4" width="156" height="30.6" align-x="1969.8" align-y="690" 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">WtBuoyancyRatio</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NodeMass</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeBuoyancy</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="160"/> </region> <region region-id="2944" left="2526" top="681" width="81.6" height="12.6" align-x="2572.2" align-y="690" 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">Freeboard</ml:id> <ml:apply> <ml:mult/> <ml:real>12.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="161"/> </region> <region region-id="2945" left="2640" top="674.4" width="273" height="27" align-x="2696.4" align-y="690" 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">Displacement</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">BuoyHeight</ml:id> <ml:id xml:space="preserve">Freeboard</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">BuoyDiameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="162"/> </region> <region region-id="2951" left="2970" top="676.2" width="121.8" height="17.4" align-x="3025.2" align-y="690" 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">Displacement</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1965.5867716667669</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="163"/> </region> <region region-id="1144" left="24" top="696.6" width="122.4" height="13.8" align-x="24" align-y="708" 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"> TPMA50 Motor specs </text> </region> <region region-id="2695" left="1320" top="699" width="240" height="16.2" align-x="1389" align-y="708" 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="est">NodeWtH2O</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NodeMass</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="est">TotalDisplacement</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="164"/> </region> <region region-id="2696" left="1596" top="694.2" width="134.4" height="21" align-x="1663.8" align-y="708" 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="est">NodeWtH2O</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4418.5171064684164</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="165"/> </region> <region region-id="2946" left="2526" top="704.4" width="255" height="27" align-x="2629.2" align-y="720" 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="lbf">ReserveBuoyancyStatic</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">BuoyDiameter</ml:id> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Freeboard</ml:id> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="166"/> </region> <region region-id="2697" left="1596" top="717" width="120.6" height="16.2" align-x="1663.8" align-y="726" 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="est">NodeWtH2O</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>993.3221607731557</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="167"/> </region> <region region-id="2724" left="1896" top="717" width="107.4" height="12.6" align-x="1968.6" align-y="726" 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">WtBuoyancyRatio</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.0490646838594646</ml:real> </result> </ml:eval> </math> <rendering item-idref="168"/> </region> <region region-id="2727" left="2040" top="706.8" width="150" height="34.2" align-x="2095.2" align-y="726" 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">NodeDensity</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="SW">NodeWt</ml:id> <ml:id xml:space="preserve" subscript="SW">NodeDisplacement</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="169"/> </region> <region region-id="2732" left="2250" top="706.8" width="183" height="34.2" align-x="2337.6" align-y="726" 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">NodeDensityWBricks</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="SW">NodeWtWBricks</ml:id> <ml:id xml:space="preserve" subscript="SW">NodeDispWBricks</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="170"/> </region> <region region-id="2947" left="2526" top="742.2" width="168.6" height="21" align-x="2628" align-y="756" 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="lbf">ReserveBuoyancyStatic</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1585.1506223119091</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">TotalBuoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> </ml:eval> </math> <rendering item-idref="205"/> </region> <region region-id="2512" left="1314" top="957" width="105" height="16.2" align-x="1372.8" align-y="966" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126564" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" 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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">PackingFactor</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real font="0">1</ml:real> <ml:id xml:space="preserve">ozf</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">PelletsPerOz</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:real>3</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Num8PelletOD</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="207"/> </region> <region region-id="2516" left="1302" top="986.4" width="108" height="41.4" align-x="1353.6" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:provenance expr-id="1" xmlns:ml="http://schemas.mathsoft.com/math30"> <originRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126844" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126244" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d72f47227efa948d5b445744cd44e807</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>1.9</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ft</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="208"> <element-image-map> <box left="1.2" top="0.6" width="106.8" height="40.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="2517" left="1452" top="988.2" width="117" height="21" align-x="1502.4" align-y="1002" 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:provenance expr-id="1"> <originRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126964" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126524" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">a584116ab05f7d2d3ef3ac5989a167b3</contentHash> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2341169.2711897367</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="209"> <element-image-map> <box left="1.2" top="5.4" width="43.8" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="2518" left="1608" top="986.4" width="148.2" height="27" align-x="1653" align-y="1002" 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="7H314A">E</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="210"/> </region> <region region-id="2062" left="66" top="999" width="88.2" height="16.2" align-x="102" align-y="1008" 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">profileZ</ml:id> <ml:id xml:space="preserve" subscript="profile">userZ</ml:id> </ml:define> </math> <rendering item-idref="211"/> </region> <region region-id="2063" left="210" top="999" width="58.8" height="16.2" align-x="227.4" align-y="1008" 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">dT</ml:id> <ml:id xml:space="preserve" subscript="profile">dT</ml:id> </ml:define> </math> <rendering item-idref="212"/> </region> <region region-id="2519" left="1608" top="1016.4" width="103.2" height="31.8" align-x="1651.8" align-y="1032" 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="7H314A">E</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.018285479234932962</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-2"/> <unitReference unit="meter" power-numerator="4"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="213"/> </region> <region region-id="2822" left="66" top="1024.8" width="97.8" height="16.8" align-x="102" align-y="1038" 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">profileZ</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve">WaveZ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Hs</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="214"/> </region> <region region-id="2823" left="210" top="1029" width="55.2" height="16.2" align-x="227.4" align-y="1038" 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">dT</ml:id> <ml:id xml:space="preserve" subscript="wave">dT</ml:id> </ml:define> </math> <rendering item-idref="215"/> </region> <region region-id="1862" left="606" top="1035" width="34.2" height="12.6" align-x="622.2" align-y="1044" 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">Hs</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="216"/> </region> <region region-id="2693" left="2040" top="1034.4" width="105" height="31.8" align-x="2098.8" align-y="1050" 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">PackingFactor</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.39936500826030152</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-3"/> <unitReference unit="pound_force"/> 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">profileVlinear</ml:id> <ml:id xml:space="preserve">iZ</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">profileZ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">iZ</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">profileZ</ml:id> <ml:id xml:space="preserve">iZ</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">dT</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="222"/> </region> <region region-id="1719" left="450" top="1070.4" width="102.6" height="45" align-x="484.8" align-y="1086" 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 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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="virtual_bb">mass</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="virtual">mass</ml:id> <ml:id xml:space="preserve" subscript="ballast">BB</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="304"/> </region> <region region-id="1225" left="24" top="1698.6" width="105.6" height="13.8" align-x="36.6" align-y="1710" 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"> Acceleration torque </text> </region> <region region-id="1568" left="324" top="1701" width="137.4" height="16.2" align-x="396" align-y="1710" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" 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region-id="2857" left="2088" top="1707" width="121.2" height="36" align-x="2119.2" align-y="1728" 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="h_bb">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="virtual_bb">mass</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="area">BB</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="307"/> </region> <region region-id="2858" left="2238" top="1719" width="69.6" height="16.2" align-x="2268" align-y="1728" 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="h_bb">T</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.5789317715205207</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="308"/> </region> <region region-id="1450" left="30" top="1732.8" width="166.8" height="39" align-x="102.6" align-y="1752" 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="motor_acc">Torque</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="load">J</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="gearhead">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">motorAω</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="309"/> </region> <region region-id="1962" left="246" top="1736.4" width="201.6" height="22.8" align-x="338.4" align-y="1752" 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="motor_acc_max">Torque</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="motor_acc">Torque</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="310"/> </region> <region region-id="2258" left="480" top="1743" width="141.6" height="16.2" align-x="571.2" align-y="1752" 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="motor_acc_max">Torque</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.083431011385793813</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="311"/> </region> <region region-id="2859" left="1944" top="1760.4" width="94.2" height="27" align-x="1996.8" 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</ml:define> </math> <rendering item-idref="313"/> </region> <region region-id="2263" left="162" top="1782" width="424.2" height="83.4" align-x="162" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="314"/> <rendering item-idref="315"/> </region> <region region-id="2861" left="2082" top="1809" width="175.8" height="46.8" align-x="2121.6" align-y="1830" 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="h_noaa">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real font="0">1.5</ml:real> <ml:id xml:space="preserve" subscript="mass">NOAA</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="diameter">NOAA</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="316"/> </region> <region region-id="2862" left="2298" top="1821" width="78" height="16.2" align-x="2336.4" align-y="1830" 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="h_noaa">T</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.2127901494001472</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="317"/> </region> <region region-id="2311" left="1260" top="1722.6" width="243" height="252" align-x="1374.6" align-y="1848" 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:apply> <ml:vectorize/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">waveVlinear</ml:id> </ml:apply> <ml:id xml:space="preserve">waveVlinear</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:eval> <resultFormat> <table item-idref="318"/> </resultFormat> </math> <rendering item-idref="319"/> </region> <region 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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">Hs</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="321"/> </region> <region region-id="2830" left="744" top="1912.8" width="178.2" height="30.6" align-x="802.8" align-y="1932" 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">dragSkirtDrag</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="d">C</ml:id> <ml:id xml:space="preserve" subscript="skirt">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="max">waveVz</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="322"/> </region> <region region-id="2832" left="954" top="1918.2" width="124.2" height="17.4" align-x="1011.6" align-y="1932" 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">dragSkirtDrag</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2186.237317617486</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="323"/> </region> <region region-id="2303" left="54" top="1918.8" width="299.4" height="30.6" align-x="145.2" align-y="1938" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">CableTensionInertial</ml:id> <ml:id xml:space="preserve">iA</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="weight_h2o">ESP</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="virtual_mass">ESP</ml:id> </ml:apply> </ml:parens> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">waveAlinear</ml:id> <ml:id xml:space="preserve">iA</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="324"/> </region> <region region-id="2305" left="396" top="1918.8" width="254.4" height="30.6" align-x="471" align-y="1938" 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">CableTensionDrag</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="d">C</ml:id> <ml:id xml:space="preserve" subscript="ESP">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:vectorize/> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">waveVlinear</ml:id> </ml:apply> <ml:id xml:space="preserve">waveVlinear</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="325"/> </region> <region region-id="2295" left="48" top="1971" width="315.6" height="16.2" align-x="114.6" 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:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">CableTension</ml:id> <ml:id xml:space="preserve">iA</ml:id> </ml:apply> <ml:apply> <ml:plus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="weight_h2o">ESP</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">CableTensionInertial</ml:id> <ml:id xml:space="preserve">iA</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">CableTensionDrag</ml:id> <ml:id xml:space="preserve">iA</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="326"/> </region> <region region-id="2315" left="720" top="1986" width="584.4" height="103.8" align-x="720" align-y="1986" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="327"/> <rendering item-idref="328"/> </region> <region region-id="2293" left="48" top="2001" width="156.6" height="16.2" align-x="117.6" align-y="2010" 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="avg">CableTension</ml:id> <ml:apply> <ml:id xml:space="preserve">mean</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="329"/> </region> <region region-id="2294" left="228" top="1996.2" width="135" height="21" align-x="296.4" align-y="2010" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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xml:space="preserve">CableTension</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1637.9078375725019</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="331"/> </region> <region region-id="2319" left="528" top="1996.2" width="146.4" height="17.4" align-x="607.8" align-y="2010" 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:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>3253.4714604642113</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="332"/> </region> <region region-id="2306" left="54" top="2058" width="521.4" height="106.2" align-x="54" align-y="2058" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="333"/> <rendering item-idref="334"/> </region> <region region-id="2582" left="600" top="2048.4" width="129" height="27" align-x="644.4" align-y="2064" 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">Cdamping</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">profileVlinear</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="335"/> </region> <region region-id="2583" left="600" top="2084.4" width="119.4" height="39" align-x="643.2" align-y="2100" 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">Cdamping</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">N</ml:id> <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:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>5549.1418999501748</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter" power-numerator="-1"/> <unitReference unit="newton"/> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="336"/> </region> <region region-id="2314" left="672" top="2166" width="609" height="106.2" align-x="672" align-y="2166" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="337"/> <rendering item-idref="338"/> </region> <region region-id="1746" left="36" top="2182.8" width="148.2" height="30.6" align-x="85.8" align-y="2202" 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="load">Torque</ml:id> <ml:apply> 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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="winch_max">Torque</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>2772.2693960738306</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="349"/> </region> <region region-id="1984" left="522" top="2388" width="455.4" height="130.2" align-x="522" align-y="2388" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="350"/> <rendering item-idref="351"/> </region> <region region-id="1983" left="12" top="2394" width="507" height="139.2" align-x="12" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="352"/> <rendering item-idref="353"/> </region> <region region-id="2323" left="678" top="2541" width="49.2" height="16.2" align-x="700.2" align-y="2550" 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="2a">F</ml:id> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="354"/> </region> <region region-id="2324" left="762" top="2530.8" width="61.2" height="30.6" align-x="778.2" align-y="2550" 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">y</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="OD">Drum</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="355"/> </region> <region region-id="2325" left="858" top="2541" width="211.2" height="16.2" align-x="878.4" align-y="2550" 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="2r">F</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:sequence> <ml:apply> <ml:absval/> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="356"/> </region> <region region-id="2326" left="1080" top="2541" width="39.6" height="16.2" align-x="1096.2" align-y="2550" 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">x</ml:id> <ml:apply> <ml:mult/> <ml:real>9</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="357"/> </region> <region region-id="2329" left="1134" top="2541" width="63" height="16.2" align-x="1149.6" align-y="2550" 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:apply> <ml:mult/> <ml:real>106.8</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="358"/> </region> <region region-id="1245" left="24" top="2544.6" width="61.2" height="13.8" align-x="36" align-y="2556" 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"> Inertial load </text> </region> <region region-id="1241" left="36" top="2560.8" width="141.6" height="39" align-x="89.4" align-y="2580" 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="motor_total">J</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="rotor">J</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="load">J</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="gearhead">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="359"/> </region> <region region-id="1242" left="192" top="2566.2" width="142.8" height="21" align-x="244.2" align-y="2580" 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="motor_total">J</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.000291139814614941</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> <unitReference unit="meter" power-numerator="2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="360"/> </region> <region region-id="1243" left="372" top="2542.2" width="92.4" height="52.8" align-x="429.6" align-y="2580" 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:apply> <ml:div/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="load">J</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="gearhead">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="rotor">J</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.14621974257850792</ml:real> </result> </ml:eval> </math> <rendering item-idref="361"/> </region> <region region-id="2322" left="708" top="2572.8" width="127.2" height="30.6" align-x="733.8" align-y="2592" 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="2k">M</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2a">F</ml:id> <ml:id xml:space="preserve" subscript="2">y</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="2r">F</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="2">x</ml:id> <ml:id xml:space="preserve" subscript="2">z</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:apply> <ml:real>1000</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="362"/> </region> <region region-id="2330" left="870" top="2583" width="75" height="16.2" align-x="894.6" align-y="2592" 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="2k">M</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.8539631599784956</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="363"/> </region> <region region-id="2331" left="984" top="2583" width="84" height="16.2" align-x="1019.4" align-y="2592" 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="kmax">M</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3064</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="364"/> </region> <region region-id="2333" left="1116" top="2578.2" width="85.8" height="21" align-x="1135.2" align-y="2592" 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="2r">F</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>14472.162075070051</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> 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</ml:apply> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>64.051087551124382</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="-3"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="107"/> </region> <region region-id="2952" left="3054" top="501" width="163.2" height="12.6" align-x="3169.2" align-y="510" 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:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> 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placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="weight">Buoy</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>680.388555</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="113"/> </region> <region region-id="2662" left="1518" top="520.2" width="133.8" height="21" align-x="1609.8" align-y="534" 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="SW">NodeDisplNOESP</ml:id> <ml:apply> <ml:mult/> <ml:real>9754</ml:real> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="114"/> </region> <region region-id="2716" left="2154" top="525" width="128.4" height="16.2" align-x="2239.2" align-y="534" 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="SW">NodeWtWBricks</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">kgf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1148.49588084</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="115"/> </region> <region region-id="2884" left="2514" top="520.2" width="112.2" height="17.4" align-x="2559.6" align-y="534" 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">ESPAirWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2046.7199999999996</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="116"/> 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optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="SW">NodeBuoyancy</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="SW">NodeDisplacement</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="118"/> </region> <region region-id="2901" left="2508" top="543" width="182.4" height="16.2" align-x="2649" align-y="552" 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="no14x14with10PbBricks">ESPWetWt</ml:id> <ml:apply> <ml:mult/> <ml:real>1221</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="119"/> </region> <region region-id="2717" left="2154" top="549" width="229.8" height="16.2" align-x="2265" align-y="558" 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="SW">NodeBuoyancyWBricks</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="SW">NodeDispWBricks</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="120"/> </region> <region region-id="2756" left="918" top="543" width="106.2" height="36" align-x="949.2" align-y="564" 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="reqd">V</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="model">F</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="d">C</ml:id> <ml:id xml:space="preserve" subscript="ESP">A</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="121"/> </region> <region region-id="2759" left="1050" top="548.4" width="76.2" height="27" align-x="1080" align-y="564" 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="reqd">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>9.44072297090323</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="122"/> </region> <region region-id="2938" left="2916" top="555" width="75.6" height="12.6" align-x="2966.4" align-y="564" 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">BuoyHeight</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:real>28</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="123"/> </region> <region region-id="2726" left="1902" top="561" width="118.2" height="16.2" align-x="1979.4" align-y="570" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="buoyancy">ESPHousing</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="volume">ESPHousing</ml:id> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="126"/> </region> <region region-id="2676" left="1692" top="573" width="134.4" height="16.2" align-x="1778.4" align-y="582" 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="buoyancy">ESPHousing</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>570.13020729763866</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="127"/> </region> <region region-id="2923" left="2514" top="573" width="549.6" height="16.2" align-x="2565" align-y="582" 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">ESPWetWt</ml:id> <ml:apply> <ml:plus/> <ml:apply> <ml:minus/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="no14x14with10PbBricks">ESPWetWt</ml:id> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>14</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:id xml:space="preserve">LeadDensity</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:real>25</ml:real> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:parens> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:real>14</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real>10</ml:real> <ml:real>8</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>4</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:parens> </ml:apply> </ml:parens> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="128"/> </region> <region region-id="2725" left="1902" top="579" width="130.2" height="16.2" align-x="1979.4" align-y="588" 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="SW">NodeBuoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>939.45301735141641</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="129"/> </region> <region region-id="2718" left="2166" top="579" width="150.6" height="16.2" align-x="2275.8" align-y="588" 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="SW">NodeBuoyancyWBricks</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4430.3379173736694</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="130"/> </region> <region region-id="1617" left="60" top="585" width="91.2" height="16.2" align-x="117" align-y="594" 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="length">Mission</ml:id> <ml:apply> <ml:mult/> <ml:real>14</ml:real> <ml:id xml:space="preserve">day</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="131"/> </region> <region region-id="1190" left="240" top="585" width="27" height="12.6" align-x="253.8" align-y="594" 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">D</ml:id> <ml:real>0</ml:real> </ml:define> </math> <rendering item-idref="132"/> </region> <region region-id="1189" left="306" top="585" width="72" height="16.2" align-x="343.8" align-y="594" 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="friction">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="133"/> </region> <region region-id="1188" left="420" top="585" width="52.2" height="12.6" align-x="446.4" align-y="594" 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">iCols</ml:id> <ml:range> <ml:real>0</ml:real> <ml:real>5</ml:real> </ml:range> </ml:define> </math> <rendering item-idref="134"/> </region> <region region-id="1505" left="498" top="585" width="102" height="16.2" align-x="558.6" align-y="594" 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="weight_air">ESP</ml:id> <ml:apply> <ml:mult/> <ml:real>1060</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="135"/> </region> <region region-id="2705" left="1896" top="596.4" width="110.4" height="27" align-x="1944" align-y="612" 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">NodeMass</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeWt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="136"/> </region> <region region-id="2941" left="2514" top="598.2" width="116.4" height="17.4" align-x="2563.8" align-y="612" 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">ESPWetWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1122.5274828051627</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="137"/> </region> <region region-id="2677" left="1326" top="609" width="260.4" height="16.2" align-x="1411.2" align-y="618" 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="est">TotalDisplacement</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="SW">NodeDisplNOESP</ml:id> <ml:id xml:space="preserve" subscript="volume">ESPHousing</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="138"/> </region> <region region-id="2678" left="1680" top="609" width="135" height="16.2" align-x="1764" align-y="618" 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="est">TotalDisplacement</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>411.89274773039295</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="liter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="139"/> </region> <region region-id="1302" left="30" top="612.6" width="288" height="27.6" align-x="34.8" align-y="624" 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"> Hs, Gear ratio and ESP weight in water are defined gloablly below </text> </region> <region region-id="1584" left="324" top="615" width="34.2" height="12.6" align-x="340.2" align-y="624" 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">Hs</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="140"/> </region> <region region-id="1585" left="390" top="610.2" width="121.2" height="21" align-x="454.2" align-y="624" 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="weight_h2o">ESP</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2400</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="141"/> </region> <region region-id="1586" left="522" top="615" width="74.4" height="16.2" align-x="568.8" align-y="624" 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="gearhead">N</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>220</ml:real> </result> </ml:eval> </math> <rendering item-idref="142"/> </region> <region region-id="2719" left="2166" top="608.4" width="175.2" height="27" align-x="2246.4" align-y="624" 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">NodeMassWBricks</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeWtWBricks</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="143"/> </region> <region region-id="2766" left="906" top="616.2" width="92.4" height="21" align-x="951" align-y="630" 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="7H375">EA</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3.2</ml:real> <ml:apply> <ml:pow/> <ml:real>10</ml:real> <ml:real>6</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">N</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="144"/> </region> <region region-id="2768" left="1026" top="616.8" width="110.4" height="34.2" align-x="1092.6" align-y="636" 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:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="model">F</ml:id> <ml:id xml:space="preserve" subscript="7H375">EA</ml:id> </ml:apply> <ml:real>22</ml:real> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.36697828325899118</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="145"/> </region> <region region-id="2682" left="1680" top="622.2" width="151.2" height="21" align-x="1764" align-y="636" 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="est">TotalDisplacement</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>25135.237631975622</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="146"/> </region> <region region-id="2706" left="1890" top="633" width="102" height="12.6" align-x="1936.8" align-y="642" 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">NodeMass</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>873.16531224999994</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="147"/> </region> <region region-id="2942" left="2514" top="639" width="130.2" height="12.6" align-x="2563.8" align-y="648" 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">BuoyAirWt</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:real>1212</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:real>8</ml:real> <ml:real>25</ml:real> </ml:apply> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="148"/> </region> <region region-id="2943" left="2682" top="634.2" width="115.2" height="17.4" align-x="2730.6" align-y="648" 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">BuoyAirWt</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1011.9999999999999</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="149"/> </region> <region region-id="1145" left="24" top="642.6" width="122.4" height="13.8" align-x="43.8" align-y="654" 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"> TPMA110 Motor specs </text> </region> <region region-id="2720" left="2160" top="645" width="139.2" height="12.6" align-x="2239.2" align-y="654" 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">NodeMassWBricks</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1148.49588084</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="150"/> </region> <region region-id="2707" left="1890" top="651" width="91.2" height="12.6" align-x="1936.8" align-y="660" 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">NodeMass</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1924.9999999999998</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <decimal precision="0" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="151"/> </region> <region region-id="2683" left="1326" top="657" width="184.8" height="16.2" align-x="1398.6" align-y="666" 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="est">TotalBuoyancy</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="est">TotalDisplacement</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="152"/> </region> <region region-id="2684" left="1554" top="652.2" width="138" height="21" align-x="1625.4" align-y="666" 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="est">TotalBuoyancy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4144.309502908045</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="153"/> </region> <region region-id="2685" left="1722" top="657" width="124.2" height="16.2" align-x="1793.4" align-y="666" 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="est">TotalBuoyancy</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>931.67783922684418</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="154"/> </region> <region region-id="2721" left="2160" top="663" width="123.6" height="12.6" align-x="2239.2" align-y="672" 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">NodeMassWBricks</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2531.9999999999995</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound"/> </unitMonomial> </unitedValue> </result> </ml:eval> <resultFormat numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="5"/> <matrix display-style="auto" expand-nested-arrays="false"/> <unit format-units="true" simplify-units="true" fractional-unit-exponent="false"/> </resultFormat> </math> <rendering item-idref="155"/> </region> <region region-id="1092" left="54" top="662.4" width="96" height="27" align-x="106.2" align-y="678" 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="torque">K110</ml:id> <ml:apply> <ml:mult/> <ml:real>.56</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="156"/> </region> <region region-id="1139" left="168" top="669" width="88.8" height="16.2" align-x="217.2" align-y="678" 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="motor">R110</ml:id> <ml:apply> <ml:mult/> <ml:real>.13</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="157"/> </region> <region region-id="1140" left="276" top="662.4" width="123" height="27" align-x="330.6" align-y="678" 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="voltage">K110</ml:id> <ml:apply> <ml:mult/> <ml:real>35.4</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">volt</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="158"/> </region> <region region-id="1141" left="414" top="670.2" width="94.8" height="21" align-x="457.2" align-y="684" 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="rotor">J110</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>9.8</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="159"/> </region> <region region-id="2723" left="1896" top="674.4" width="156" height="30.6" align-x="1969.8" align-y="690" 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">WtBuoyancyRatio</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NodeMass</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="SW">NodeBuoyancy</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="160"/> </region> <region region-id="2944" left="2526" top="681" width="81.6" height="12.6" align-x="2572.2" align-y="690" 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">Freeboard</ml:id> <ml:apply> <ml:mult/> <ml:real>12.5</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="161"/> </region> <region region-id="2945" left="2640" top="674.4" width="273" height="27" align-x="2696.4" align-y="690" 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">Displacement</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">BuoyHeight</ml:id> <ml:id xml:space="preserve">Freeboard</ml:id> </ml:apply> </ml:parens> <ml:parens> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">BuoyDiameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="162"/> </region> <region region-id="2951" left="2970" top="676.2" width="121.8" height="17.4" align-x="3025.2" align-y="690" 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">Displacement</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1965.5867716667669</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="163"/> </region> <region region-id="1144" left="24" top="696.6" width="122.4" height="13.8" align-x="24" align-y="708" 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"> TPMA50 Motor specs </text> </region> <region region-id="2695" left="1320" top="699" width="240" height="16.2" align-x="1389" align-y="708" 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="est">NodeWtH2O</ml:id> <ml:apply> <ml:minus/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">NodeMass</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="est">TotalDisplacement</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="164"/> </region> <region region-id="2696" left="1596" top="694.2" width="134.4" height="21" align-x="1663.8" align-y="708" 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="est">NodeWtH2O</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4418.5171064684164</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="165"/> </region> <region region-id="2946" left="2526" top="704.4" width="255" height="27" align-x="2629.2" align-y="720" 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="lbf">ReserveBuoyancyStatic</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:id xml:space="preserve">BuoyDiameter</ml:id> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve">Freeboard</ml:id> </ml:apply> <ml:id xml:space="preserve">g</ml:id> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="166"/> </region> <region region-id="2697" left="1596" top="717" width="120.6" height="16.2" align-x="1663.8" align-y="726" 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="est">NodeWtH2O</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>993.3221607731557</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="167"/> </region> <region region-id="2724" left="1896" top="717" width="107.4" height="12.6" align-x="1968.6" align-y="726" 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">WtBuoyancyRatio</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>2.0490646838594646</ml:real> </result> </ml:eval> </math> <rendering item-idref="168"/> </region> <region region-id="2727" left="2040" top="706.8" width="150" height="34.2" align-x="2095.2" align-y="726" 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">NodeDensity</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="SW">NodeWt</ml:id> <ml:id xml:space="preserve" subscript="SW">NodeDisplacement</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="169"/> </region> <region region-id="2732" left="2250" top="706.8" width="183" height="34.2" align-x="2337.6" align-y="726" 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">NodeDensityWBricks</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="SW">NodeWtWBricks</ml:id> <ml:id xml:space="preserve" subscript="SW">NodeDispWBricks</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="170"/> </region> <region region-id="2947" left="2526" top="742.2" width="168.6" height="21" align-x="2628" align-y="756" 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="lbf">ReserveBuoyancyStatic</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">lbf</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1585.1506223119091</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> 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</result> </ml:eval> </math> <rendering item-idref="173"/> </region> <region region-id="1150" left="54" top="758.4" width="91.2" height="27" align-x="101.4" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="torque">K50</ml:id> <ml:apply> <ml:mult/> <ml:real>.58</ml:real> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="174"/> </region> <region region-id="1151" left="174" top="765" width="84" height="16.2" align-x="218.4" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="motor">R50</ml:id> <ml:apply> <ml:mult/> <ml:real>2.1</ml:real> <ml:id xml:space="preserve">ohm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="175"/> </region> <region region-id="1152" left="276" top="758.4" width="123" height="27" align-x="325.8" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="voltage">K50</ml:id> <ml:apply> <ml:mult/> <ml:real>42.95</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">volt</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="176"/> </region> <region region-id="1153" left="426" top="760.2" width="94.8" height="21" align-x="464.4" 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 xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="rotor">J50</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2.54</ml:real> <ml:id xml:space="preserve">kg</ml:id> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">cm</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="177"/> </region> <region region-id="2948" left="2526" top="770.4" width="159" height="27" align-x="2631" align-y="786" 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="pct">ReserveBuoyancyStatic</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Freeboard</ml:id> <ml:id xml:space="preserve">BuoyHeight</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="178"/> </region> <region region-id="2953" left="2712" top="783" width="138.6" height="16.2" align-x="2815.8" align-y="792" 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="pct">ReserveBuoyancyStatic</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>0.44642857142857145</ml:real> </result> </ml:eval> </math> <rendering item-idref="179"/> </region> <region region-id="1158" left="24" top="786.6" width="67.2" height="13.8" align-x="36.6" align-y="798" 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"> Battery Data </text> </region> <region region-id="1159" left="48" top="813" width="129.6" height="16.2" align-x="105" align-y="822" 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="watt_hrs">Dcell</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>1</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> <ml:real>14</ml:real> </ml:apply> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> <ml:id xml:space="preserve">hr</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="180"/> </region> <region region-id="1160" left="210" top="813" width="64.8" height="16.2" align-x="256.8" align-y="822" 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="layer">Dcells</ml:id> <ml:real>37</ml:real> </ml:define> </math> <rendering item-idref="181"/> </region> <region region-id="1161" left="312" top="813" width="91.2" height="16.2" align-x="361.8" align-y="822" 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="weight">Dcell</ml:id> <ml:apply> <ml:mult/> <ml:real>.139</ml:real> <ml:id xml:space="preserve">kgf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="182"/> </region> <region region-id="1162" left="444" top="813" width="65.4" height="16.2" align-x="491.4" align-y="822" show-border="false" show-highlight="false" is-protected="true" 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xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">d72f47227efa948d5b445744cd44e807</contentHash> <ml:define> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> <ml:apply> <ml:mult/> <ml:real>1.9</ml:real> <ml:apply> <ml:div/> <ml:id xml:space="preserve">ft</ml:id> <ml:apply> <ml:mult/> <ml:real>1000</ml:real> <ml:id xml:space="preserve">ft</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:define> </ml:provenance> </math> <rendering item-idref="208"> <element-image-map> <box left="1.2" top="0.6" width="106.8" height="40.2" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="2517" left="1452" top="988.2" width="117" height="21" align-x="1502.4" align-y="1002" 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:provenance expr-id="1"> <originRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126964" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </originRef> <parentRef doc-id="79DBEA8C-CFB7-4B2D-AC1E-118A2478BE64" version-id="C7A9C8B5-ADAE-4C8F-8C97-8987648585BE" branch-id="00000000-0000-0000-0000-000000000000" revision-num="385126524" is-modified="false" region-id="0" href="C:\GENE\canyonDynamics\lineEA.xmcd" xmlns="http://schemas.mathsoft.com/provenance10"> <hash/> </parentRef> <comment xmlns="http://schemas.mathsoft.com/provenance10"/> <originComment xmlns="http://schemas.mathsoft.com/provenance10"/> <contentHash xmlns="http://schemas.mathsoft.com/provenance10">a584116ab05f7d2d3ef3ac5989a167b3</contentHash> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> </ml:provenance> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2341169.2711897367</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="209"> <element-image-map> <box left="1.2" top="5.4" width="43.8" height="15" expr-idref="1" xmlns="http://schemas.mathsoft.com/worksheet30"/> </element-image-map> </rendering> </region> <region region-id="2518" left="1608" top="986.4" width="148.2" height="27" align-x="1653" align-y="1002" 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="7H314A">E</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="7H314A">EA</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="210"/> </region> <region region-id="2062" left="66" top="999" width="88.2" height="16.2" align-x="102" align-y="1008" 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">profileZ</ml:id> <ml:id xml:space="preserve" subscript="profile">userZ</ml:id> </ml:define> </math> <rendering item-idref="211"/> </region> <region region-id="2063" left="210" top="999" width="58.8" height="16.2" align-x="227.4" align-y="1008" 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">dT</ml:id> <ml:id xml:space="preserve" subscript="profile">dT</ml:id> </ml:define> </math> <rendering item-idref="212"/> </region> <region region-id="2519" left="1608" top="1016.4" width="103.2" height="31.8" align-x="1651.8" align-y="1032" 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="7H314A">E</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.018285479234932962</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-2"/> <unitReference unit="meter" power-numerator="4"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="213"/> </region> <region region-id="2822" left="66" top="1024.8" width="97.8" height="16.8" align-x="102" align-y="1038" 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">profileZ</ml:id> <ml:apply> <ml:matcol/> <ml:id xml:space="preserve">WaveZ</ml:id> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">Hs</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="214"/> </region> <region region-id="2823" left="210" top="1029" width="55.2" height="16.2" align-x="227.4" align-y="1038" 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">dT</ml:id> <ml:id xml:space="preserve" subscript="wave">dT</ml:id> </ml:define> </math> <rendering item-idref="215"/> </region> <region region-id="1862" left="606" top="1035" width="34.2" height="12.6" align-x="622.2" align-y="1044" 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">Hs</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <ml:real>3</ml:real> </result> </ml:eval> </math> <rendering item-idref="216"/> </region> <region region-id="2693" left="2040" top="1034.4" width="105" height="31.8" align-x="2098.8" align-y="1050" 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">PackingFactor</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">in</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.39936500826030152</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-3"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="217"/> </region> <region region-id="1177" left="432" top="1044.6" width="129.6" height="13.8" align-x="432" align-y="1056" 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"> Winch velocity in rad/sec </text> </region> <region region-id="1581" left="54" top="1050.6" width="193.2" height="13.8" align-x="70.2" align-y="1062" 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"> Calculate wave velocity in Z direction </text> </region> <region region-id="1864" left="606" top="1053" width="51" height="12.6" align-x="622.2" align-y="1062" 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">dT</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.05</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="218"/> </region> <region region-id="2520" left="1608" top="1033.2" width="144" height="46.2" align-x="1642.2" align-y="1068" 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="theor">EI</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="7H314A">E</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">π</ml:id> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">diameter</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>4</ml:real> </ml:apply> </ml:apply> <ml:real>4</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="219"/> </region> <region region-id="2523" left="1782" top="1047.6" width="126" height="36.6" align-x="1815" align-y="1068" 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="theor">EI</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.9093803105557397E-08</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> <unitReference unit="meter" power-numerator="7"/> <unitReference unit="second" power-numerator="-2"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="220"/> </region> <region region-id="1717" left="60" top="1077" width="106.8" height="12.6" align-x="75" align-y="1086" 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">iZ</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">rows</ml:id> <ml:id xml:space="preserve">profileZ</ml:id> </ml:apply> <ml:real>2</ml:real> </ml:apply> </ml:range> </ml:define> </math> <rendering item-idref="221"/> </region> <region region-id="1718" left="186" top="1068.6" width="177" height="28.8" align-x="250.2" align-y="1086" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">profileVlinear</ml:id> <ml:id xml:space="preserve">iZ</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">profileZ</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">iZ</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">profileZ</ml:id> <ml:id xml:space="preserve">iZ</ml:id> </ml:apply> </ml:apply> </ml:parens> <ml:id xml:space="preserve">dT</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="222"/> </region> <region region-id="1719" left="450" top="1070.4" width="102.6" height="45" align-x="484.8" align-y="1086" 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">profileVlinear</ml:id> <ml:parens> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="OD">Drum</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="223"/> </region> <region region-id="2769" left="1290" top="1083" width="81.6" height="16.2" align-x="1333.2" align-y="1092" 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="mass">Buoy</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>680</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="kilogram"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="224"/> </region> <region region-id="1909" left="564" top="1088.4" width="85.8" height="27" align-x="603" align-y="1104" 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">direction</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">winchω</ml:id> <ml:apply> <ml:absval/> <ml:id xml:space="preserve">winchω</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="225"/> </region> <region region-id="1006" left="672" top="1086.6" width="243" height="28.8" align-x="768.6" align-y="1104" 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:apply> <ml:indexer/> <ml:id xml:space="preserve">allWavesVlinear</ml:id> <ml:sequence> <ml:id xml:space="preserve">iZ</ml:id> <ml:id xml:space="preserve">iCols</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">WaveZ</ml:id> <ml:sequence> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">iZ</ml:id> <ml:real>1</ml:real> </ml:apply> <ml:id xml:space="preserve">iCols</ml:id> </ml:sequence> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">WaveZ</ml:id> <ml:sequence> <ml:id xml:space="preserve">iZ</ml:id> <ml:id xml:space="preserve">iCols</ml:id> </ml:sequence> </ml:apply> </ml:apply> <ml:id xml:space="preserve">dT</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="226"/> </region> <region region-id="2826" left="48" top="1107" width="132.6" height="16.2" align-x="99.6" align-y="1116" 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="max">waveVz</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">profileVlinear</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="227"/> </region> <region region-id="2828" left="198" top="1100.4" width="97.2" height="27" align-x="248.4" align-y="1116" 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="max">waveVz</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">m</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>2.6079999999999992</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="228"/> </region> <region region-id="1939" left="324" top="1107" width="84" height="16.2" align-x="364.2" align-y="1116" 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="OD">Drum</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.51709319999999992</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> </unitMonomial> </unitedValue> </result> </ml:eval> 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</ml:define> </math> <rendering item-idref="313"/> </region> <region region-id="2263" left="162" top="1782" width="424.2" height="83.4" align-x="162" align-y="1782" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="314"/> <rendering item-idref="315"/> </region> <region region-id="2861" left="2082" top="1809" width="175.8" height="46.8" align-x="2121.6" align-y="1830" 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="h_noaa">T</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>2</ml:real> <ml:id xml:space="preserve">π</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:div/> <ml:apply> <ml:mult/> <ml:real font="0">1.5</ml:real> <ml:id xml:space="preserve" 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<region region-id="2286" left="54" top="2235" width="173.4" height="16.2" align-x="90" align-y="2244" 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">iTorque</ml:id> <ml:range> <ml:real>0</ml:real> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:id xml:space="preserve">rows</ml:id> <ml:id xml:space="preserve" subscript="winch_acc">Torque</ml:id> </ml:apply> <ml:real>1</ml:real> </ml:apply> </ml:parens> </ml:range> </ml:define> </math> <rendering item-idref="343"/> </region> <region region-id="1969" left="438" top="2260.8" width="130.8" height="34.2" align-x="483.6" align-y="2280" 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"> 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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="winch_max">Torque</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>2772.2693960738306</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="349"/> </region> <region region-id="1984" left="522" top="2388" width="455.4" height="130.2" align-x="522" align-y="2388" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="350"/> <rendering item-idref="351"/> </region> <region region-id="1983" left="12" top="2394" width="507" height="139.2" align-x="12" align-y="2394" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <plot disable-calc="false" item-idref="352"/> <rendering item-idref="353"/> </region> <region region-id="2323" left="678" top="2541" width="49.2" height="16.2" align-x="700.2" align-y="2550" 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="2a">F</ml:id> <ml:apply> <ml:mult/> <ml:real>0</ml:real> <ml:id xml:space="preserve">lbf</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="354"/> </region> <region region-id="2324" left="762" top="2530.8" width="61.2" height="30.6" align-x="778.2" align-y="2550" 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">y</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="OD">Drum</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:define> </math> <rendering item-idref="355"/> </region> <region region-id="2325" left="858" top="2541" width="211.2" height="16.2" align-x="878.4" align-y="2550" 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="2r">F</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:sequence> <ml:apply> <ml:absval/> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> </ml:apply> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:id xml:space="preserve">CableTension</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="356"/> </region> <region region-id="2326" left="1080" top="2541" width="39.6" height="16.2" align-x="1096.2" align-y="2550" 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">x</ml:id> <ml:apply> <ml:mult/> <ml:real>9</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="357"/> </region> <region region-id="2329" left="1134" top="2541" width="63" height="16.2" align-x="1149.6" align-y="2550" 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:apply> <ml:mult/> <ml:real>106.8</ml:real> <ml:id xml:space="preserve">mm</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="358"/> </region> <region region-id="1245" left="24" top="2544.6" width="61.2" height="13.8" align-x="36" align-y="2556" 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"> Inertial load </text> </region> <region region-id="1241" left="36" top="2560.8" width="141.6" height="39" align-x="89.4" align-y="2580" 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="motor_total">J</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve" subscript="rotor">J</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="load">J</ml:id> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="gearhead">N</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="359"/> </region> <region region-id="1242" left="192" top="2566.2" width="142.8" height="21" align-x="244.2" align-y="2580" 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="motor_total">J</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.000291139814614941</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> 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align-y="2592" 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="2k">M</ml:id> <ml:unitOverride> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">N</ml:id> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.8539631599784956</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="meter"/> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="363"/> </region> <region region-id="2331" left="984" top="2583" width="84" height="16.2" align-x="1019.4" align-y="2592" 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="kmax">M</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:real>3064</ml:real> <ml:id xml:space="preserve">N</ml:id> </ml:apply> <ml:id xml:space="preserve">m</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="364"/> </region> <region region-id="2333" left="1116" top="2578.2" width="85.8" height="21" align-x="1135.2" align-y="2592" 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="2r">F</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>14472.162075070051</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="newton"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="365"/> </region> <region region-id="1250" left="24" top="2604.6" width="77.4" height="13.8" align-x="35.4" align-y="2616" 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"> Motor Current </text> </region> <region region-id="1246" left="36" top="2626.8" width="127.2" height="34.2" align-x="67.8" align-y="2646" 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="a_acc">I</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" font="1" subscript="motor_total">J</ml:id> <ml:id xml:space="preserve" subscript="torque">K</ml:id> </ml:apply> <ml:id 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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="a_acc_max">I</ml:id> <ml:apply> <ml:id xml:space="preserve">max</ml:id> <ml:apply> <ml:vectorize/> <ml:apply> <ml:absval/> <ml:id xml:space="preserve" subscript="a_acc">I</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="370"/> </region> <region region-id="1562" left="402" top="2673" width="93.6" height="16.2" align-x="452.4" align-y="2682" 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="a_acc_max">I</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.127616401735849</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="ampere"/> </unitMonomial> 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