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Physics: Post your doubts here!

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A turbine at a hydroelectric power station is situated 30 m below the level of the surface of a large
lake. The water passes through the turbine at a rate of 340 m3
per minute.

The overall efficiency of the turbine and generator system is 90%.

What is the output power of the power station? (The density of water is 1000 kg m–3.)
A 0.15 MW B 1.5 MW C 1.7 MW D 90 MW

ANS: B
E=mgh
m=d*V
1000*340=340000kg
E=340000*9.8*30=99.9*10^6J
input power=99.9*10^6/60=1.6*10^6W
output/1.6*10^6*100=90
output power=1.49*10^6W
 
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