Question

An object with a mass of `5 kg` is hanging from an axle with a radius of `21 cm`. If the wheel attached to the axle has a radius of `42 cm`, how much work would it take to turn the wheel `12 cm`?

Answer 1

The work is `=2.94J`

Explanation:

The load `L=(5g)N`

Radius of axle `r=0.21m`

Radius of wheel `R=0.42m`

Taking moments about the center of the axle

`F*R=L*r`

`F*0.42=5g*0.21`

`F=(5*g*0.21)/0.42=24.5N`

The force is `F=24.5N`

The distance is `=0.12m`

The work is `=24.5*0.12=2.94J`