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Question

A load of 220kg is vertically pulled up by a crane through a vertical height of 16m in 40s.the Calculate horsepower of the engine pulling the rope.

[Take g=9.8ms2 1HP=750W]


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Solution

Given:

Mass m = 220kg

g = 9.8ms2

Height = 16m

Time = 40s

To find force:

Formula used: Force F = mg

F=220×9.8=2156N

To find work done:

Formula used: Work=F×s

W=mg×h

W=2156×16=34496J

To find power:

Formula used: power=worktime

P=349640=87.4W

To convert watt into horsepower:

1HP=750W

1W=1750HP

87.4W=87.4750=1.15HP

Hence, the horsepower of the engine pulling the rope is 1.15HP


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