Question

a hydroelectric plant is designed so that 4518 cubic meters of water fall each second from a height of 262 meters. if the change in potential energy of one cubic meter of water at this plant is 1.59MJ, the power generated by the plant is...

The answer is 7.2GW

b. An onshore wind turbine is rated for a maximum capacity of 2MW and generates 1.5MW when the wind is blowing at 30mph. How much power will it generate when wind speeds are 10mph?

The answer is 0.055MW

Please explain...

Answer 1

Answer:- a) The potential energy of one cubic meter of water is 1.59 MJ.
The power generated by the plant is the energy changed of water each second. The potential energy change each second or the power generated by the plant is-

Answer:- b) The wind turbine power and speed are related as-

Thus we can write-