Question

Question:

The power of a crane is 25000 watt. Calculate the time required by it to lift a load of 6000 kg up to the height of 20 metres.

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Answer 1

Hello Mate!

Question:

The power of a crane is 25000 watt. Calculate the time required by it to lift a load of 6000 kg up to the height of 20 metres.

Solution:

We have,

Power [P] = 25000 Watt

Mass [m] = 6000 kg

Height [h] = 20 metres

Time [t] = ?

Now,

P = W/t = F × d/t = m × g × h/t

Or, 25000 = 6000 × 10 × 20/25000 [.......g = 10 m/s^2]

Or, t = 6000 × 10 × 20/25000

Or, t = 1200/25

Therefore, t = 48 second

Hence, the required time for the crane to lift the load is 48 seconds.

Hope It Helps!

Answer 2

$power = \frac{work \: done}{time} \\ p ower= \frac{force \: \times displacement}{time} \\ power = \frac{mass \times acceleation \times dispacement}{time} \\ time = \frac{mass \times acceleration \times displacement}{power} \\ t = \frac{6000 \times 10 \times 20}{25000} \\ t = 48 \: seconds$
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