Question

An electric motor pumps 200 liter of water to a reservoir of height 6m in 2 s. Take g = 10 m/s?. Calculate the power developed by the motor. Take 1 liter of water = 1kg of water.​

Answer 1

The power developed by the electric motor is 6000 Watts

Definition of power

Power is defined as the rate at which work is done. Mathematically, it is expressed as

Power = Work / time

But

Work = mass (m) × acceleration due to gravity (g) × height (h)

Work = mgh

Therefore,

Power = mgh / t

With the above formula, we can obtain the power developed by the motor.

How to determine the power

• Mass (m) = 200 Kg
• Height (h) = 6 m
• Acceleration due to gravity (g) = 10 m/s²
• Time (t) = 2 s
• Power =?

Power = mgh / t

Power = (200 × 10 × 6) / 2

Power = 12000 / 2

Power = 6000 Watts

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