Mathcad Professional 14.0 <description/> <author>jon@mbari.org</author> <company/> <keywords/> <revisedBy>jon@mbari.org</revisedBy> </userData> <identityInfo> <revision>7</revision> <documentID>B6C593C5-3500-4BC6-AB63-F04537D797FF</documentID> <versionID>D48B5136-41FC-4C51-9411-63604066EED4</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="0" text-align="left" list-style-type="none" tabs="inherit"/> <inlineAttr font-family="Times New Roman" font-charset="0" font-size="12" 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="small" definition="colon-equal" global-definition="triple-equal" local-definition="left-arrow" equality="bold-equal" symbolic-evaluation="right-arrow"/> <mathStyles> <mathStyle name="Variables" font-family="MS Serif" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Constants" font-family="MS Serif" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 1" font-family="MS Sans Serif" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 2" font-family="Courier" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 3" font-family="System" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 4" font-family="Script" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 5" font-family="Roman" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 6" font-family="Modern" font-charset="255" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="User 7" font-family="MS Serif" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> <mathStyle name="Math Text Font" font-family="MS Serif" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false"/> </mathStyles> <dimensionNames mass="mass" length="length" time="time" current="charge" 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="matrix" expand-nested-arrays="false"/> <unit format-units="false" simplify-units="false" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="1" orientation="portrait" print-single-page-width="false" page-width="612" page-height="792"> <margins left="72" right="12.96" top="36" bottom="36"/> <header use-full-page-width="true"/> <footer use-full-page-width="true"/> </pageModel> <colorModel background-color="#fff" default-highlight-color="#ffff80"/> <language math="en" UI="en"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="us" 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="96"/> <miscellaneous> <handbook handbook-region-tag-ub="265" 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="214" left="120" top="6.75" width="272.25" height="28.5" align-x="120" 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="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <b>DISK OR BAR MAGNET FIELD CALCULATION</b> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="center" list-style-type="none" tabs="inherit"> <b>4/15/11</b> </p> </text> </region> <region region-id="243" left="6" top="66.75" width="82.5" height="14.25" align-x="6" align-y="78" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <b>REQUIRED:<sp count="4"/> </b> <sp/> </p> </text> </region> <region region-id="215" left="96" top="66.75" width="431.25" height="14.25" align-x="96" align-y="78" 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">Find the field strength at a specified distance (x) from the face of the disc.<sp count="2"/> </p> </text> </region> <region region-id="263" left="282" top="84" width="267.75" height="241.5" align-x="282" align-y="84" show-border="false" show-highlight="false" is-protected="true" z-order="-2" background-color="inherit" tag=""> <ole clsid="{D3E34B21-9D75-101A-8C3D-00AA001A1652}" type="embedded" item-idref="1"/> <rendering item-idref="2"/> </region> <region region-id="3" left="6" top="108.75" width="48" height="14.25" align-x="6" align-y="120" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <b>GIVEN:<sp count="2"/> </b> </p> </text> </region> <region region-id="253" left="72" top="114.75" width="80.25" height="14.25" align-x="72" align-y="126" 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">Diameter (D):<sp count="6"/> </p> </text> </region> <region region-id="254" left="210" top="116.25" width="52.5" height="13.5" align-x="223.5" align-y="126" 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:apply> <ml:mult/> <ml:real>.0625</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="3"/> </region> <region region-id="255" left="72" top="132.75" width="68.25" height="14.25" align-x="72" align-y="144" 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">Length (L):<sp count="6"/> </p> </text> </region> <region region-id="256" left="210" top="134.25" width="51" height="13.5" align-x="222" align-y="144" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">L</ml:id> <ml:apply> <ml:mult/> <ml:real>.0312</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="257" left="72" top="150.75" width="122.25" height="14.25" align-x="89.25" align-y="162" 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">Rexxxx flux Density (Br):<sp count="3"/> </p> </text> </region> <region region-id="258" left="210" top="152.25" width="74.25" height="15.75" align-x="225.75" align-y="162" 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="r">B</ml:id> <ml:apply> <ml:mult/> <ml:real>13000.</ml:real> <ml:id xml:space="preserve">gauss</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="259" left="72" top="168.75" width="72" height="14.25" align-x="93" align-y="180" 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">Distance (x):<sp count="5"/> </p> </text> </region> <region region-id="260" left="210" top="170.25" width="45.75" height="13.5" align-x="221.25" align-y="180" 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">y</ml:id> <ml:apply> <ml:mult/> <ml:real>.100</ml:real> <ml:id xml:space="preserve">in</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="9" left="6" top="402.75" width="53.25" height="14.25" align-x="6" align-y="414" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <b>ASSUME:</b> </p> </text> </region> <region region-id="234" left="96" top="402.75" width="110.25" height="14.25" align-x="108.75" align-y="414" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="false"> <p style="Normal" margin-left="inherit" margin-right="inherit" text-indent="inherit" text-align="inherit" list-style-type="inherit" tabs="inherit">xxxxxxxxxxxxxxxx:<sp count="8"/> </p> </text> </region> <region region-id="236" left="6" top="444.75" width="65.25" height="14.25" align-x="6" align-y="456" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <b>SOLUTION:</b> </p> </text> </region> <region region-id="264" left="72" top="484.5" width="203.25" height="53.25" align-x="88.5" align-y="504" 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="x">B</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:div/> <ml:id xml:space="preserve" subscript="r">B</ml:id> <ml:real>2</ml:real> </ml:apply> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:apply> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">L</ml:id> <ml:id xml:space="preserve">y</ml:id> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">y</ml:id> <ml:apply> <ml:sqrt/> <ml:apply> <ml:plus/> <ml:apply> <ml:pow/> <ml:parens> <ml:apply> <ml:div/> <ml:id xml:space="preserve">D</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:parens> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:pow/> <ml:id xml:space="preserve">y</ml:id> <ml:real>2</ml:real> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="265" left="348" top="494.25" width="78" height="15.75" align-x="363.75" align-y="504" 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="x">B</ml:id> <ml:unitOverride> <ml:id xml:space="preserve">gauss</ml:id> </ml:unitOverride> <result xmlns="http://schemas.mathsoft.com/math30"> <unitedValue> <ml:real>118.99123797272027</ml:real> <unitMonomial xmlns="http://schemas.mathsoft.com/units10"> <unitReference unit="gauss"/> </unitMonomial> </unitedValue> </result> </ml:eval> </math> <rendering item-idref="8"/> </region> <region region-id="130" left="42" top="1002" width="437.25" height="15.75" align-x="42" align-y="1002" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="9" display-width="435.75" display-height="14.25"/> </picture> <rendering item-idref="10"/> </region> <region region-id="52" left="12" top="1026" width="6000" height="6" align-x="12" align-y="1026" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <pageBreak/> </region> <region region-id="77" left="6" top="1032.75" width="475.5" height="98.25" align-x="6" align-y="1044" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Materials<sp count="20"/>E<sp count="2"/>(psi)<sp count="15"/> <f family="Symbol" charset="2">n</f> <sp count="24"/> <f family="Symbol" charset="2">r</f> <sp count="2"/>(lb/in^3)<sp count="26"/>S<f size="8"> <sub>y</sub> </f> <sp count="19"/>G<f size="5"> <sub> (psi)<sp count="8"/> </sub> </f> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>6061-T6<sp count="20"/>10.0E6<sp count="14"/>.300<sp count="25"/>.0980<sp count="27"/>35 kpsi</sub> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>7075-76<sp count="20"/>10.5E6<sp count="14"/>.3300<sp count="23"/>.1010<sp count="27"/>67 kpsi</sub> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>Titanium (pure)<sp count="9"/>15.5E6<sp count="14"/>.3400<sp count="23"/>.1630<sp count="27"/>55 kpsi</sub> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>Titanium 6AL-4V<sp count="5"/>17.0E6<sp count="14"/>.3250<sp count="23"/>.1610<sp count="27"/>120kpsi</sub> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>S.S. 17-4 ph<sp count="14"/>28.5E6<sp count="13"/>.3000<sp count="24"/>.2800<sp count="26"/>178kpsi</sub> </p> <p style="Normal" margin-left="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit"> <sub>S.S. 316<sp count="20"/>27.6E6<sp count="14"/>.305<sp count="25"/>.280<sp count="28"/>30 kpsi<sp count="12"/>10.6E6<sp count="21"/> </sub> </p> </text> </region> <region region-id="213" left="48" top="1164" width="12.75" height="13.5" align-x="48" align-y="1164" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="11" display-width="11.25" display-height="12"/> </picture> <rendering item-idref="12"/> </region> <region region-id="111" left="126" top="1164.75" width="176.25" height="14.25" align-x="126" align-y="1176" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Convert deg Rankine to deg Fahienheit</p> </text> </region> <region region-id="110" left="306" top="1166.25" width="59.25" height="13.5" align-x="317.25" align-y="1176" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">F</ml:id> <ml:apply> <ml:mult/> <ml:real>-459.69</ml:real> <ml:id xml:space="preserve">R</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="13"/> </region> <region region-id="112" left="126" top="1182.75" width="162" height="14.25" align-x="126" align-y="1194" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Convert deg Kelvin<sp count="2"/>to deg Celcius </p> </text> </region> <region region-id="113" left="312" top="1184.25" width="60.75" height="13.5" align-x="324.75" align-y="1194" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">C</ml:id> <ml:apply> <ml:mult/> <ml:real>-273.16</ml:real> <ml:id xml:space="preserve">K</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="14"/> </region> <region region-id="200" left="126" top="1200.75" width="130.5" height="14.25" align-x="126" align-y="1212" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Convert depth Meters to bar</p> </text> </region> <region region-id="201" left="312" top="1202.25" width="70.5" height="13.5" align-x="324" align-y="1212" 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">Z</ml:id> <ml:apply> <ml:mult/> <ml:real>.1006649</ml:real> <ml:id xml:space="preserve">bar</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="15"/> </region> <region region-id="202" left="126" top="1218.75" width="133.5" height="14.25" align-x="126" align-y="1230" 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="0" margin-right="0" text-indent="0" text-align="left" list-style-type="none" tabs="inherit">Convert depth Meters to psig</p> </text> </region> <region region-id="203" left="312" top="1220.25" width="68.25" height="13.5" align-x="324" align-y="1230" 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">Z</ml:id> <ml:apply> <ml:mult/> <ml:real>1.460016</ml:real> <ml:id xml:space="preserve">psi</ml:id> </ml:apply> </ml:define> </math> <rendering item-idref="16"/> </region> <region region-id="114" left="6" top="1248" width="436.5" height="6" align-x="6" align-y="1248" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="17" display-width="435" display-height="4.5"/> </picture> <rendering item-idref="18"/> </region> <region region-id="206" left="24" top="1266" width="344.25" height="7.5" align-x="24" align-y="1266" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <picture> <png item-idref="19" display-width="342.75" display-height="6"/> </picture> <rendering item-idref="20"/> </region> <region 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