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Hydrostatic Pressure and Force: Use this space to capture some notes from PatrickJMT's mini-lecture on what Hydrostatic Pressure and Force is all about. (Watch the

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Hydrostatic Pressure and Force: Use this space to capture some notes from PatrickJMT's mini-lecture on what Hydrostatic Pressure and Force is all about. (Watch the video linked on D2L under Content > Links + Extras > Video Resources from YouTube > Hydrostatic Force Intro.) Make a note of anything that is still unclear or any follow-up questions you have. Determine the hydrostatic force exerted on the bottom of a circular fountain filled with fresh water and with a radius of 2 m and a depth of 0.5 m. Determine the hydrostatic force exerted on the bottom of a fish tank with dimensions 2 ft wide, 3 ft long, and 2 ft deep if it is full of saltwater. Density of Saltwater is 64 165/ Now imagine we wanted to compute the hydrostatic force on one of the long sides of the fish tank. We know depth is changing along the face of the side, so we can break the side of the tank into n strips and imagine that each strip has a constant depth. As we let n - co, this approximation for hydrostatic force will become the exact value. Draw the side of the fish tank with n = 4 approximationg strips. What is the area of each strip? Compute the hydrostatic force on the top strip and bottom strip. Write a generic formula for the hydrostatic force on an arbitrary strip, using x as the independent variable that represents the depth of the strip. Hint: What values remain constant throughout the problem? Which change based on x? Use your arbitrary strip to write an integral that will compute the exact hydrostatic force on the wall of the tank, then evaluate it. Does your value seem reasonable? Hint: Consider what happens as delta x goes to zero

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