Question

How much work done in one hour, if a pump can raise 100 liters of water through a height of 200 meter in one minutes?

Answer 1

Answer:

$\color{red}{Answer}$

Power = energy /time .

a pump can raise 1000 litres of water per minute .

hence, in 1 min , 1000 litres of water raise .

so, in 1 min , mass of water raise = density of water × volume

= 1000 kg/m³ × 1000 × 10^-3 m³

= 1000 Kg

mass raise per minute of water = 1000 Kg

now, potential energy of 1000 kg of water at height 45 m = mgh

= 1000 × 10 × 45 = 450000 J = 4.5 × 10⁵ J

So, energy of water per second = power of water = 4.5 × 10⁵/60sec [ because 1min = 60 sec , raise water at the height = 45 m]

= 7500 W

Now, we know, 1 horse power = 746 W

so, 7500 W power = 7500/746 Hp = 10.05 Hp