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 $
