Question

An object with a mass of `4 kg` is hanging from an axle with a radius of `14 cm`. If the wheel attached to the axle has a radius of `27 cm`, how much work would it take to turn the wheel `6 cm`?

Answer 1

The work is `=1.22J`

Explanation:

The load is `L=4gN`

The radius of the axle is `r=0.14m`

The radius of the wheel is `R=0.27m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.27=4g*0.14`

`F=(4g*0.14)/0.27=20.33N`

The force is `F=20.33N`

The distance is `d=0.06cm`

The work done is

`W=Fd=20.33xx0.06=1.22J`