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

Answer :

The required time is 47.04 seconds.

Step-by-step explanation :

Given :

Power of crane = 25000 watt

Mass = 6000 kg

Height = 20 metres

Calculate the work done ;

Work done = mgh

⇒ Work done = 6000 × 9.8 × 20

⇒ Work done = 1176000 J

Calculate the time ;

Power = Work done / time

⇒ 25000 = 1176000 / time

⇒ Time = 1176000 / 25000

⇒ Time = 47.04 seconds.

Hence, the required time is 47.04 seconds.