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UVA APMA 1110 - Homework+11+-+Fluid+Pressure+and+Force

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Homework 11 – Fluid Pressure and Force 1) A plate in the shape of an isosceles triangle with base 1m and height 2m is submer ged vertically in a tank of water so that its vertex touches the surface of the water. Calculate the fluid force on one side of the plate. 2) Repeat exercise 1, but assume that the vertex is located 3m below the surface of the water. 3) For each of the plates shown, a‐i, set up an integral to compute the fluid force on one face of the plate which is submerged in water. 4) The figure shows a ramp inclined at 30⁰ leading into a swimming pool. Calculate the fluid force on the ramp. 5) The Three Gorges Dam on China’s Yangtze River has height 185 m. Calculate the force on the dam assuming that the dam is a trapezoid of base 2000 m and upper edge 3000 m, inclined at an angle of 55⁰ to the horizontal. 6)


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UVA APMA 1110 - Homework+11+-+Fluid+Pressure+and+Force

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