Problem 57844. Solve an ODE: draining tank

Created by ChrisR

Solve Later

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The outflow occurs through a small circular orifice of diameter </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Do\"/></w:customXmlPr><w:r><w:t>D_o</w:t></w:r></w:customXml><w:r><w:t> at the bottom of the tank, and the outflow </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Q\"/></w:customXmlPr><w:r><w:t>Q</w:t></w:r></w:customXml><w:r><w:t> can be computed with </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Q = Cd Ao sqrt(2 g h)\"/></w:customXmlPr><w:r><w:t>Q = C_d A_o \\sqrt{2 g h}</w:t></w:r></w:customXml><w:r><w:t>, where </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Cd\"/></w:customXmlPr><w:r><w:t>C_d</w:t></w:r></w:customXml><w:r><w:t> is a discharge coefficient, </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"Ao\"/></w:customXmlPr><w:r><w:t>A_o</w:t></w:r></w:customXml><w:r><w:t> is the area of the orifice, and </w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"g\"/></w:customXmlPr><w:r><w:t>g</w:t></w:r></w:customXml><w:r><w:t> is the acceleration of gravity, which should be taken as 9.81 m/s</w:t></w:r><w:customXml w:element=\"equation\"><w:customXmlPr><w:attr w:name=\"displayStyle\" w:val=\"false\"/><w:attr w:name=\"altTextString\" w:val=\"^2\"/></w:customXmlPr><w:r><w:t>^2</w:t></w:r></w:customXml><w:r><w:t>. </w:t></w:r></w:p><w:p><w:pPr><w:pStyle w:val=\"text\"/><w:jc w:val=\"left\"/></w:pPr><w:customXml 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","relationship":null}],"relationships":[{"relationshipType":"http://schemas.mathworks.com/matlab/code/2013/relationships/document","target":"/matlab/document.xml","relationshipId":"rId1"}]}

<div style = "text-align: start; line-height: 20.4333px; min-height: 0px; white-space: normal; color: rgb(0, 0, 0); font-family: Menlo, Monaco, Consolas, monospace; font-style: normal; font-size: 14px; font-weight: 400; text-decoration: rgb(0, 0, 0); white-space: normal; "><div style="block-size: 319.1px; display: block; min-width: 0px; padding-block-start: 0px; padding-top: 0px; perspective-origin: 407px 159.55px; transform-origin: 407px 159.55px; vertical-align: baseline; "><div style="block-size: 87.1px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 43.55px; text-align: left; transform-origin: 384px 43.55px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 229.742px 8px; transform-origin: 229.742px 8px; unicode-bidi: normal; ">Write a function to compute the time to drain a cylindrical tank of diameter D<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 61.85px 8px; transform-origin: 61.85px 8px; unicode-bidi: normal; "> from an initial level <img src="data:image/png;base64,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" alt="h0" style="width: 15.5px; height: 20px;" width="15.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 31.8917px 8px; transform-origin: 31.8917px 8px; unicode-bidi: normal; "> to a level h<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 40.225px 8px; transform-origin: 40.225px 8px; unicode-bidi: normal; ">. The outflow occurs through a small circular orifice of diameter <img src="data:image/png;base64,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" alt="Do" style="width: 19px; height: 20px;" width="19" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 130.667px 8px; transform-origin: 130.667px 8px; unicode-bidi: normal; "> at the bottom of the tank, and the outflow Q<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 71.9583px 8px; transform-origin: 71.9583px 8px; unicode-bidi: normal; "> can be computed with <img src="data:image/png;base64,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" alt="Q = Cd Ao sqrt(2 g h)" style="width: 99.5px; height: 22px;" width="99.5" height="22"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 24.8917px 8px; transform-origin: 24.8917px 8px; unicode-bidi: normal; ">, where <img src="data:image/png;base64,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" alt="Cd" style="width: 18.5px; height: 20px;" width="18.5" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 82.3333px 8px; transform-origin: 82.3333px 8px; unicode-bidi: normal; "> is a discharge coefficient, <img src="data:image/png;base64,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" alt="Ao" style="width: 17px; height: 20px;" width="17" height="20"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 92.175px 8px; transform-origin: 92.175px 8px; unicode-bidi: normal; "> is the area of the orifice, and g<span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 111.708px 8px; transform-origin: 111.708px 8px; unicode-bidi: normal; "> is the acceleration of gravity, which should be taken as 9.81 m/s<img src="data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABAAAAAmCAYAAADN0BvRAAABE0lEQVRIS2NkoBAwUqifYRgbEA4Mm0IgNoeG0UkgnQvEp9HDDFsYZAAV5QPxRCB+D8RJQOwG1egOpHchG4LNgGdABbZAfBdJ4U6oISDNIEPgAN0AkE3BQJyO5lSQl1YA8Q0g1iTkAmxJA2QwyBUEXYBNM0gMFC7TgbgKiNvJccFKoCY9ILYG4nekGqAM1HAHGngoMQAyiJikfAKobiO602GuIGTATKhC9FjBGY3I3gMFnCMQZ6L7m5gwAGlOAGIvNM1C0NgApQswwOYFWKJZBZR/iGwbkB0DxKA8AooVrAaYAkX3ATEPmkYY9zmQoYPsKkKBiMMchPCoAcQlZbwBORqIo4GIqzwgmAOJKZGINmQYpEQA0UUlJ+mjkqgAAAAASUVORK5CYII=" alt="^2" style="width: 8px; height: 19px;" width="8" height="19"><span style="block-size: auto; display: inline; margin-block-end: 0px; margin-block-start: 0px; margin-bottom: 0px; margin-inline-end: 0px; margin-inline-start: 0px; margin-left: 0px; margin-right: 0px; margin-top: 0px; perspective-origin: 3.88333px 8px; transform-origin: 3.88333px 8px; unicode-bidi: normal; ">. </div><div style="block-size: 223px; font-family: Helvetica, Arial, sans-serif; line-height: 21px; margin-block-end: 9px; margin-block-start: 2px; margin-bottom: 9px; margin-inline-end: 10px; margin-inline-start: 4px; margin-left: 4px; margin-right: 10px; margin-top: 2px; perspective-origin: 384px 111.5px; text-align: left; transform-origin: 384px 111.5px; white-space: pre-wrap; margin-left: 4px; margin-top: 2px; margin-bottom: 9px; margin-right: 10px; "><img class="imageNode" style="vertical-align: middle;width: 308px;height: 223px" 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" data-image-state="image-loaded" width="308" height="223"></div></div></div>

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Problem 57844. Solve an ODE: draining tank

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Problem 57844. Solve an ODE: draining tank

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