Mathcad Professional 14.0 <description/> <author>Gene Massion</author> <company>Parametric Technology Corporation</company> <keywords/> <revisedBy>Gene Massion</revisedBy> </userData> <identityInfo> <revision>12</revision> <documentID>0ECDF4F4-063D-47BC-A10F-14D96F889E91</documentID> <versionID>092A9C5A-2A22-47BD-AF96-EFC6C26640B9</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" 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margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="24" font-weight="bold" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Subtitle" base-style="Title"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="center" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="18" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> </textStyles> </textRendering> <mathRendering equation-color="#000"> <operators multiplication="narrow-dot" derivative="derivative" literal-subscript="large" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle 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underline="false"/> <mathStyle name="User 6" font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="Times New Roman" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="Times New Roman" font-charset="0" font-size="14" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="current" thermodynamic-temperature="temperature" luminous-intensity="luminosity" amount-of-substance="substance" display="false"/> <symbolics derivation-steps-style="vertical-insert" show-comments="false" evaluate-in-place="false"/> <results numeric-only="true"> <general precision="3" show-trailing-zeros="false" radix="dec" complex-threshold="10" zero-threshold="15" imaginary-value="i" exponential-threshold="3"/> <matrix display-style="auto" 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<compatibility multiple-assignment="MC12" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="in"/> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="120"/> <miscellaneous> <handbook handbook-region-tag-ub="286" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="234" left="1410" top="3" width="100.8" height="10.8" align-x="1422.6" align-y="12" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">BUOY CALCULATIONS</p> </text> </region> <region region-id="187" left="126" top="9" width="128.4" height="10.8" align-x="152.4" align-y="18" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">HYDRAULIC CALCULATIONS</p> </text> </region> <region region-id="192" left="786" top="15" width="175.2" height="10.8" align-x="816.6" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">WITTENSTEIN MOTOR CALCUILATIONS</p> </text> </region> <region region-id="235" left="1272" top="45" width="66.6" height="16.2" align-x="1311.6" align-y="54" 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="OD">Buoy</ml:id> <ml:apply> <ml:mult/> <ml:real>80</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="1"/> </region> <region region-id="283" left="1350" top="45" width="62.4" height="16.2" align-x="1385.4" align-y="54" 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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xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="bus">V</ml:id> <ml:apply> <ml:mult/> <ml:real>320</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="23"/> </region> <region region-id="198" left="876" top="93" width="67.8" height="16.2" align-x="916.8" align-y="102" 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="dia">Winch</ml:id> <ml:apply> <ml:mult/> <ml:real>18</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="24"/> </region> <region region-id="199" left="972" top="93" width="37.2" height="12.6" align-x="988.8" align-y="102" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIFunction" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">eff</ml:id> <ml:real>.85</ml:real> </ml:define> </math> <rendering item-idref="25"/> </region> <region region-id="19" left="12" top="104.4" width="103.8" height="27" align-x="58.2" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="piston">Area</ml:id> <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" subscript="dia">Piston</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="26"/> </region> <region region-id="20" left="156" top="104.4" width="146.4" height="27" align-x="193.2" align-y="120" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="rod">Area</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="dia">Piston</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="dia">Rod</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="27"/> </region> <region region-id="200" left="672" top="118.8" width="180.6" height="34.2" align-x="738" align-y="138" 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="speed">Winch110</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="bus">V</ml:id> <ml:id xml:space="preserve" subscript="speedTPM110Dyn">K</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:id xml:space="preserve" subscript="gear">N</ml:id> </ml:apply> </ml:apply> </ml:define> </math> <rendering item-idref="28"/> </region> <region region-id="201" left="894" top="129" width="116.4" height="16.2" align-x="959.4" align-y="138" 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="speed">Winch110</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>99.33569255603156</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="29"/> </region> <region region-id="275" left="1290" top="129" width="183" height="16.2" align-x="1353" align-y="138" 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="available">Energy</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="num">PS12400</ml:id> <ml:id xml:space="preserve" subscript="energy">PS12400</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="30"/> </region> <region region-id="276" left="1518" top="129" width="77.4" height="16.2" align-x="1556.4" align-y="138" 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">Volts</ml:id> <ml:apply> <ml:mult/> <ml:real>160</ml:real> <ml:id xml:space="preserve">volt</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="31"/> </region> <region region-id="277" left="1620" top="129" width="72.6" height="16.2" align-x="1660.8" align-y="138" 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">Amps</ml:id> <ml:apply> <ml:mult/> <ml:real>4</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="32"/> </region> <region region-id="23" left="18" top="148.8" width="85.2" height="34.2" align-x="52.8" align-y="168" 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="piston">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="hpu">Q</ml:id> <ml:id xml:space="preserve" subscript="piston">Area</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="33"/> </region> <region region-id="24" left="150" top="152.4" width="78.6" height="27" align-x="184.2" align-y="168" 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="piston">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.29882424271630947</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="34"/> </region> <region region-id="25" left="288" top="152.4" width="85.2" height="27" align-x="322.2" align-y="168" 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="piston">V</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>11.764733965209034</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="35"/> </region> <region region-id="202" left="678" top="165" width="187.2" height="16.2" align-x="744" align-y="174" 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" subscript="speed">Winch110</ml:id> <ml:apply> <ml:id xml:space="preserve">min</ml:id> <ml:sequence> <ml:id xml:space="preserve" subscript="speed">Winch110</ml:id> <ml:apply> <ml:mult/> <ml:real>55</ml:real> <ml:id xml:space="preserve">rpm</ml:id> </ml:apply> </ml:sequence> </ml:apply> </ml:define> </math> <rendering item-idref="36"/> </region> <region region-id="203" left="858" top="165" width="99.6" height="16.2" align-x="923.4" align-y="174" 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="speed">Winch110</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">rpm</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>55</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="revolutions_per_minute"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="37"/> </region> <region region-id="279" left="1296" top="170.4" width="160.2" height="27" align-x="1329" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="K">Buoy</ml:id> <ml:apply> <ml:mult style="auto-select"/> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>4</ml:real> </ml:apply> <ml:id xml:space="preserve" subscript="sw">ρ</ml:id> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="OD">Buoy</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="ID">Buoy</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="38"/> </region> <region region-id="285" left="1554" top="170.4" width="84.6" height="27" align-x="1586.4" align-y="186" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:eval placeholderMultiplicationStyle="default" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="K">Buoy</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">lbf</ml:id> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>169.94270926668787</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch" power-numerator="-1"/> <unitReference unit="pound_force"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="39"/> </region> <region region-id="32" left="24" top="182.4" width="105" height="30.6" align-x="90" align-y="198" 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="piston">Traveltime</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">Stroke</ml:id> <ml:id xml:space="preserve" subscript="piston">V</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="40"/> </region> <region region-id="35" left="162" top="189" width="99.6" height="16.2" align-x="227.4" align-y="198" 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="piston">Traveltime</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>1.529996347833283</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="second"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="41"/> </region> <region region-id="204" left="678" top="194.4" width="175.2" height="27" align-x="736.2" align-y="210" 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="speed">Line110</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:mult/> <ml:id xml:space="preserve" subscript="speed">Winch110</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve">π</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> <ml:id xml:space="preserve" subscript="dia">Winch</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="42"/> </region> <region region-id="205" left="918" top="194.4" width="102" height="27" align-x="975.6" align-y="210" 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="speed">Line110</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>4.1363512044965489</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="43"/> </region> <region region-id="26" left="24" top="214.8" width="67.2" height="34.2" align-x="49.8" align-y="234" 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="rod">V</ml:id> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="hpu">Q</ml:id> <ml:id xml:space="preserve" subscript="rod">Area</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="44"/> </region> <region region-id="27" left="156" top="218.4" width="69.6" height="27" align-x="181.2" align-y="234" 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="rod">V</ml:id> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>0.398432323621746</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="45"/> </region> <region region-id="28" left="294" top="218.4" width="76.2" height="27" align-x="319.2" align-y="234" 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="rod">V</ml:id> <ml:unitOverride> <ml:apply> <ml:div/> <ml:id xml:space="preserve">in</ml:id> <ml:id xml:space="preserve">sec</ml:id> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>15.686311953612048</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="inch"/> <unitReference unit="second" power-numerator="-1"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="46"/> </region> <region region-id="265" left="1302" top="218.4" width="206.4" height="27" align-x="1353.6" align-y="234" 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">Buoy</ml:id> <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:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="OD">Buoy</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve" subscript="ID">Buoy</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:parens> </ml:apply> <ml:id xml:space="preserve" subscript="height">Buoy</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="47"/> </region> <region region-id="286" left="1584" top="220.2" width="96.6" height="21" align-x="1635" align-y="234" 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">Buoy</ml:id> <ml:unitOverride> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">ft</ml:id> <ml:real>3</ml:real> </ml:apply> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>79.412480965742</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="foot" power-numerator="3"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="48"/> </region> <region region-id="206" left="678" top="243" width="70.8" height="12.6" align-x="712.2" align-y="252" 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">Current</ml:id> <ml:apply> <ml:mult/> <ml:real>70</ml:real> <ml:id xml:space="preserve">amp</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="49"/> 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