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Question: Water falls from a height of 60 m at the ratio of 15 kg/s to operate a turbine. The losses due to fr...

Water falls from a height of 60 m at the ratio of 15 kg/s to operate a turbine. The losses due to frictional forces are 10% of energy. How much power is generated by the turbine ? (g = 10 m/s2)

A

12.3 kW

B

7.0 kW

C

8.1 kW

D

10.2 kW

Answer

8.1 kW

Explanation

Solution

P = dW/dt = d/dt(0.9 mgh)

[\because10% loss of energy]

= (0.9)hg dm/dt

= (0.9) (60) (10)×15 = 8100 watt

= 8.1 kw