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 `25 cm`?

Answer 1

The work is `=6.125J`

Explanation:

The load is `L=5gN`

The radius of the axle is `r=0.21m`

The radius of the wheel is `R=0.42m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.42=5g*0.21`

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

The force is `F=24.5N`

The distance is `d=0.25m`

The work done is

`W=Fd=24.5*0.25=6.125J`