Question

An object with a mass of `4 kg` is hanging from an axle with a radius of `8 cm`. If the wheel attached to the axle has a radius of `8 cm`, how much work would it take to turn the wheel `36 cm`?

Answer 1

The work is `=14.1J`

Explanation:

The load `L=(4g)N`

Radius of axle `r=0.08m`

Radius of wheel `R=0.08m`

Taking moments about the center of the axle

`F*R=L*r`

`F*0.08=4*g*0.08`

`F=(4*g*0.08)/0.08=39.2N`

The force is `F=39.2N`

The distance is `d=0.36m`

The work is `W=Fd=39.2*0.36=14.1J`