Question

Water falls from a height of `60 m` at the rate `15 kg//s` to operate a turbine. The losses due to frictional forces are `10%` of energy . How much power is generated to by the turbine? (g=10 m//s^(2))`.
A. `8.1 kW`
B. `10.2 kW`
C. `12.3 kW`
D. `7.0 kW`

Answer 1

Power generted by the turbine is
`P_("genertated") = P_("input") xx (90)/(100)`
`= (Mgh)/(t) xx (90)/(100)`
Putting the given values
`(M)/(t) = 15 kg//s. g = 10 m//s^(2). H = 60m`
`P_("genertated") = (15 xx 10 xx 60) xx (90)/(100)`
`= 8.1 kW`.