Awind turbine is located at the top of a hill where the wind blows steadily at 12 m/s, and stands 37 m tall. the air then exits the turbine at 9 m/s and the same elevation. find the power generated by the wind if the mass flow rate is 137 kg/s. report your answer in kw and to 2 decimal places.

Power generated = 4.315 kW

Step-by-step explanation:

Given,

According to the law of conservation of energy

Energy generated = change in kinetic energy

Since, the air is exiting at same elevation. So, we will consider only kinetic energy.

Energy generated in one second will be given by,

   =4315.5 J

   = 4.315 kJ

So, energy is generated in one second = 4.315 kJ

Power generated can be given by,

And the energy is generated is already in per second so power generated will be 4.315 kW.