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problem14_90

University Physics with Modern Physics with Mastering Physics (11th Edition)

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14.90: When the level of the water is a height y above the opening, the efflux speed is , 2 gy and . 2 ) 2 ( 2 gy d π dt dV = As the tank drains, the height decreases, and . 2 ) 2 ( 2 ) 2 ( 2 2 2 gy D d D gy d A dt dV dt dy - = - = - = π This is a separable differential equation, and the time T to drain the tank is found from
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Unformatted text preview: , 2 2 dt g D d y dy -= which integrates to [ ] , 2 2 2 T g D d y H -= or . 2 2 2 2 2 g H d D g H d D T = =...
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