Question

2. Calculate the power of an electric pump in horse power, which can lift 2000 m3 of water from a depth of
20 m in 25 minutes [Take g 10 ms-2]​

Answer 1

Answer:Given:

Volume of water = 2000 m³

Depth = 20 m

Time = 25 min

To find:

Power of electric pump

Conversion:

First convert volume of water into mass of water.

As per question , 1 m³ = 10³ kg

=> 2000 m³ = 2000 × 10³ kg

=> 2000 m³ = 2 × 10^6 kg.

Also convert time from minute to seconds.

25 mins = 25 × 60 = 1500 secs.

Calculation:

power= work/time

power= m×g×h/time

power= (2×10⁶)×10×20/ 1500

power=4/15×10⁶

power=0.266×10⁶ watt

Final conversion:

To convert from watt to HP , we need to divide the power value by 746 .

power= 0.266/746×10⁶

power= 0.000356×10⁶

power= 356 hp

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