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# 15_2_13 - at rate dr dt = m r = m p x 2 y 2 so the velocity...

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13. Fluid emitted by interval 1 z in time interval [0 , t ] occupies, at time t , a cylinder of radius r , where π r 2 1 Z = vol. of cylinder = 2 π mt 1 z . Thus r 2 = 2 mt , and r dr dt = m . The surface of this cylinder is moving away from the z -axis
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Unformatted text preview: at rate dr dt = m r = m p x 2 + y 2 , so the velocity at any point ( x , y , z ) is v = m p x 2 + y 2 × unit vector in direction x i + y j = m ( x i + y j ) x 2 + y 2 ....
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