Question

water falls on the blades of turbine from a height of 50m. 100 kg water pours on the blades in 1s. Assuming whole energy to be transferred, what is the power developed to the turbines

Answer 1

Power = Energy / Time
= mgh / t
= (100 kg × 9.8 m/s² × 50 m) / (1 s)
= 49000 watts
= 49 kilowatts

∴ Power developed by turbine is 49 kilowatts

Answer 2

Answer:

Power developed in the turbines is 50KW.

Explanation:

Potential energy of the water =mgh

=100×10×50

=50000J

In 1 sec 100 kg of water falls on the turbine means potential energy of 100 kg water is transferred in 1 second to the turbine.

Work done by turbine =change in potential energy=50000J

$power=\frac{Work done}{time taken}$

Time taken=1 sec

$Power=\frac{50000}{1}$

Power=50000W=50KW