Physics-Turbine

Question

Water is falling on the blades of a turbine at a rate 6000Kg/min. The height of the fall
is100m. What is the power gained by the turbine?

Answer 1

The force of gravity on 6000 kg of water is 6000 * 9.8 = 58800 m-kg / sec² = 58800 N.

 

This force is exerted on the water over a distance of 100 m, so the work done on it is 58800 * 100 = 5880000 J.

 

This much energy is falling on the turbine every minute, so 1/60 of this energy is being transferred to the turbine every second.  That's 5880000 / 60 = 98000, so the power is 98000 watts = 98 kw.