Water falls from a height of `60 m` at the rate `15 kg//s` to operate a turbine. The losses due to frictional forces are `10%` of energy . How much power is generated to by the turbine? (g=10 m//s^(2))`.

Options

A. `8.1 kW`
B. `10.2 kW`
C. `12.3 kW`
D. `7.0 kW`

Answer

`(1)`

Explanation

`P = W/t = mgh/t = (15 xx 10 xx 60)/1 = 9000 W = 9kW`
Loss = 10%
Useful power = 90% of 9 kW = `(90 xx 9)/100 = 8.1 kW`