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 `2 cm`, how much work would it take to turn the wheel a length equal to the circumference of the axle?

Answer 1

The work is `=886.7J`

Explanation:

The load is `L=5gN`

The radius of the axle is `r=0.24m`

The radius of the wheel is `R=0.02m`

The effort is `=FN`

The acceleration due to gravity is `g=9.8ms^-2`

Taking moments about the center of the axle

`F*0.02=5g*0.24`

`F=(5g*0.24)/0.02=588N`

The force is `F=588N`

The distance is `d=2*pi*0.24m`

The work is

`W=Fxxd=588*0.48pi=886.7J`