Work Energy And Power Question 293

Question: 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 energy. How much power is generated by the turbine? $ ( g = 10 m/s^{2} ) $

Options:

A) 8.1 k W

B) 10.2 kW

C) 12.3 k W

D) 7.0 kW

Show Answer

Answer:

Correct Answer: A

Solution:

[a] Given, $ h= 60m, g= 10m{s^{-2}}, $

Rate of flow of water = 15 kg/s

$ \therefore $ Power of the falling water $ =15kg{s^{-1}}\times 10m{s^{-2}}\times 60m=900watt. $

Loss in energy due to friction $ = 9000\times \frac{10}{100}= 900 watt. $

$ \therefore $ Power generated by the turbine $ =(9000-900)watt=8100watt=8.1kW $



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