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

Answer

D

Explanation

The potential energy of water tally per second
` = mgh = 15 xx 10 xx 60 J `
= 9000 J
10 % potential energy is lost in frictional force the remaining potential energy is generated by turbine per seconds
`P = 9000 xx 90/100`
= 8100 W
` = 8.1 kW `