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

(1) 10.2 kW                            (2) 8.1 kW
(3) 12.3 kW                            (4) 7.0 kW

Solution; Answer (2)

Incident power on turbine is given by d(mgh)/dt

= (gh) dm/dt
= 10 × 60 × 15
= 9000 W

Now, as we know losses are 10%
The power generated = (1 – 10/100)9000
= 8100 W

= 8.1 kW

 

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