Question

A crane lifts an 8,000N beam 75m to the top of a building in 30 seconds. What is the crane’s power?

Answer 1

Answer:

$\huge \mathfrak \red{good \: evening}$

Explanation:

Simple. First find the work done.

12,000 N x 20 m = 240,000 Joules.

That is the energy expended. The work performed is thus:

240,000 J ÷ 30 s = 8,000 Watts

Thus the power or rate of work this machine can develop is at least 8,000 watts...

Answer 2

The value of the crane's power is 20 KiloWatt.

Given:

Force to lift a beam, F = 8000 N

Distance lifted, d = 75 m

Time-taken, t = 30 sec

To Find:

The value of the crane's power.

Solution:

We are required to find the value of the crane's power.

Power is the rate of work done and the SI unit of the power is a watt.

We know the power formula is given as,

P = (F×d)/t      -----------(1)

F = 8000N, d = 75 m t = 30 sec  

Substitute the given values in equation(1), and we get

P = (8000×75)/30

  = 600000/30

  = 20000 Watt      [1000 Watt = 1 KiloWatt]

  = 20 KW

Therefore, The value of the crane's power is 20 KiloWatt.

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