Question

An object with a mass of `4 kg` is hanging from an axle with a radius of `16 cm`. If the wheel attached to the axle has a radius of `12 cm`, how much work would it take to turn the wheel `8 cm`?

Answer 1

The work is `=4.18J`

Explanation:

The load is `L=4gN`

The radius of the axle is `r=0.16m`

The radius of the wheel is `R=0.12m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.12=4g*0.16`

`F=(4g*0.16)/0.12=52.3N`

The force is `F=52.3N`

The distance is `d=0.08m`

The work is

`W=Fxxd=52.3*0.08=4.18J`