A water reservoir tank of capacity 250m3 is situated at a height of 20m from the water level. What will be the power of an electric motor to be used to fill the tank in 3 hours? Efficiency of motor is 70%
Given
Volume (v)=250m3
Height (h)=20m
Time (t)=3hrs=10800sec
Efficiency of motor (η)=70%
Power of the electric motor (Pin)=?
We have, η=PinPout∗100% .......... (i)
Firstly we have to find ,
Pout=Workdonetime ......... (ii)
But,
Work done to fill the tank W=mgh=ρ∗v∗g∗h=1000∗250∗10∗20=5∗107J
[Since, density of water in SI system is 1000kg/m3]
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