An object with a mass of $5 kg$ is hanging from an axle with a radius of $24 cm$ . If the wheel attached to the axle has a radius of $38 cm$ , how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2016-07-02T05:04:46

$~~73.85J$

Given

We are to calculate the work done to lift the object by turning the wheel a length equal to the circumference of the axle.

$"Now circumference of the axle" (l)=2pir=2xxpixx0.24m$

Actually the work done occurs due to the lifting of the object against the gravitational pull by length $l=2pir$

So $"Work done"(W)=mxxgxx2pir$

$=5xx9.8xx2xx3.14xx0.24J~~73.85J$

An object with a mass of 5 kg5 kg is hanging from an axle with a radius of 24 cm24 cm. If the wheel attached to the axle has a radius of 38 cm38 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?