Water falls from a height of 60 m at the rate of 15 kg/s to operate a turbine. The losses due to frictional force are 10% of the input energy. How much power is generated by the turbine? (g = 10 m/s2)
Answer & explanation
Correct answer: option 1
Energy : U = mgh
Power : P = \(\frac{dU}{dt}\) = h g \(\frac{dm}{dt}\)
h = 60 m ; g = 10 m/s2 ; \(\frac{dm}{dt}\) = 15 kg/s
P = 9000 W
losses = 10 %
Pnet = P - 10% P = 8100 W