Question

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?

Answer 1

`~~73.85J`

Explanation:

Given

• `"The radius of the axle " (r) =24cm0.24m`

• `"The mass of the object " (m) =5kg`

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`