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

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.

Answer 2

$\bf\huge\boxed{\boxed{\boxed{Cybary\:Radhe\:Radhe}}}$

●Power of crane = 25000 watt

●Mass = 6000 kg

●Height = 20 metres

$\bf\huge\boxed{\boxed{Find\:the\:workdone}}}$

●Work done = mgh

⇒ Work done = 6000 × 9.8 × 20

⇒ Work done = 1176000 J

$\bf\huge\boxed{\boxed{Find\:the\:Time}}}$

Power = $\bf\huge\frac{Work done}{time}$

⇒ 25000 = $\bf\huge\frac{1176000}{t (time)}$

⇒ Time = $\bf\huge\frac{1176000}{25000}$

$\bf\huge\boxed{\boxed{Time\:=\:47.04\:second}}}$

▪Required time is 47.04 seconds

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