Hey, I can not get c for this question. A fountain consists of a large pool of w

Question

Hey, I can not get c for this question.

A fountain consists of a large pool of water and a column of water projected upward by means of a pump. The column has a cross-sectional area of 108 cm2 at its base and reaches a height of 3.20 m. (a) Compute the speed of water as it leaves the pool. 7.92 m/s Compute the flow rate of water as it leaves the pool. .086 m^3/s (b) Find the increase in mechanical energy per unit mass LE/&n;, as water starts from rest in the pool and then is expelled by the pump. 31.36 J/kg (C) Find the power supplied by the pump by computing the increase in mechanical energy per unit time. 983.5 J/s

Explanation / Answer

here m

as the velocity of water = 7.92 m/s

here , now , the flow rate = 0.086 m^3/s

mass of water leaving per sec = 0.086 *1000

mass of water leaving per sec = 86 kg/s

Now, Power supplied = 0.5 * m*v^2

Power supplied = 0.5 * 86 * 7.92^2

Power supplied = 2697.3 W

the power supplied by the pump is 2697.3 W

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