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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.

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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)

(1) 10.2 kW

(2) 8.1 kW

(3) 12.3 kW

(4) 7.0 kW

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Correct answer: (2) 8.1 kW

Explanation:

Pin = \(\frac{mgh}{t}\) = \(\frac{15 \times 10 \times 60}{1}\)

= 9000 w

Pout = 90% of Pin

= 8.1 kW

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