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Unformatted text preview: 57:020 Mechanics of Fluids and Transport Fall 2010 Exam 3, December 14, 2010 1. A circular 2-m-diameter gate is located on the sloping side of a swimming pool. The side of the pool is oriented 60 relative to the horizontal bottom, and the center of the gate is located 3 m below the water surface. Deter- mine the magnitude of the water force F R acting on the gate and the point through which it acts (or the center of pressure y R ). Note that = 9.8 kN/m 3 for water and I xc = R 4 /4 for a circle of radius R . 2. A 90 elbow is used to direct water ( = 1000 kg/m 3 ) flow at a rate of 25 kg/s in a horizontal pipe upward. The di- ameter of the entire elbow is 10 cm. The elbow discharges water into the atmosphere, and thus the pressure at the exit is the local atmospheric pressure. The elevation difference between the centers of the exit and the inlet of the elbow is 35 cm. The weight of the elbow and the water in it is con- sidered to be negligible. Determine (a) the water velocity...
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- Fall '10