Question

In a hydroelectric power plant, 100 m 3 /s of water flows from an elevation of 70 m to a

turbine, where electric power is generated. The overall efficiency of the

turbine–generator is 86 percent. Disregarding frictional losses in piping, estimate the

electric power output of this plant.

Answer 1

The power generated is $P=mgh=\rho V×gh$

$=1000×100×9.8×70=68,600,000W$

The power available is

$P=0.86×1000×100×9.8×70=58,996,000W$