Question

An object with a mass of `4 kg` is hanging from an axle with a radius of `4 cm`. If the wheel attached to the axle has a radius of `24 cm`, how much work would it take to turn the wheel `32 cm`?

Answer 1

The work is `=2.1J`

Explanation:

The load is `L=4gN`

The radius of the axle is `r=0.04m`

The radius of the wheel is `R=0.24m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.24=4g*0.04`

`F=(4g*0.04)/0.24=6.53N`

The force is `F=6.53N`

The distance is `d=0.32m`

The work done is

`W=F*d=6.53*0.32=2.1J`