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23 March, 17:19

The water that powers the generators enters and leaves the system at a low speed (thus we can neglect its change of kinetic energy) and loses 160 m of altitude during the process. What is the water flow required, in cubic meters per second, to produce this power, assuming 83.5 % efficiency?

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  1. 23 March, 17:45
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    Let density of water be ρ.

    During flow, volume of water flowing per second is constant

    loss of P. E per unit volume = ρ gh, 83.5 % is lost

    Gain of K E per unit volume = 1/2 ρ v²

    83.5 % of mgh = ρ 1/2 ρ v²

    1/2 ρ v² =.835 x 9.8

    v² = 2 x. 835 x 9.8

    = 16.366

    v = 4.04 m / s
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