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? ($g=10\ m/s^2$)

A 8.1 kW

B 12.3 kW

C 7.0 kW

D 10.2 kW

The answer is A.

Solution

$P_{in} = \frac{mgh}{t} = 15 \times 10 \times 60 = 9000$ W Losses are 10%, so $P_{out} = 90\%$ of $P_{in} = 0.9 \times 9000 = 8100$ W = 8.1 kW

Concept power output of a turbine

11 questions from this chapter have appeared across 9 exam years.