Sponsor Area

Work, Energy And Power

Question
CBSEENPH11020744

Water falls from a height of 60 m at the rate of 15 kg /s to operate a turbine. The losses due to frictional 

  • 8.1 kW

  • 10.2 kW

  • 12.3 kW

  • 7.0 kW

Solution

A.

8.1 kW

Power generated by the turbine is,
Pgenerated = Pinput  x 90/100

equals Mgh over straight t space straight x 90 over 100
Putting space the space given space values
straight M over straight t space straight x space 15 space kg divided by straight s comma space straight g space equals space 10 space straight m divided by straight s squared space comma space straight h space equals 60 space straight m
straight P subscript generated space end subscript space space equals space left parenthesis 15 space straight x space 10 space straight x 60 right parenthesis space straight x 90 over 100
space equals space 8.1 space kW