A motor pump can fill water in a tank of 40 m³ at a height 5m from the ground in 30 minutes. Find the power required for this process? Given density of water is 1000 kg/m³?
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Given info : A motor pump can fill water in a tank of 40 m³ at a height 5m from the ground in 30 minutes. density of water is 1000 kg/m³.
To find : The power required for this process is...
solution : mass of water , m = volume of water × density of water
= 40 m³ × 1000 kg/m³
= 40,000 kg
time , t = 30 min = 1800 sec
height, h = 5 m
energy required to pump 40m³ water , U = mgh
= 40,000 kg × 10 m/s² × 5 m
= 20 × 10⁵ J
= 2 × 10⁶ J
The power required to pump the the water in the tank = energy/time = U/t
= 2 × 10⁶/1800
= 0.111 × 10⁴ Watt
= 11.1 kW
Therefore the power required for this process is 11.1 kW .
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