Question

An object with a mass of `5 kg` is hanging from an axle with a radius of `15 cm`. If the wheel attached to the axle has a radius of `39 cm`, how much work would it take to turn the wheel `9 cm`?

Answer 1

The work is `=1.70J`

Explanation:

The load is `L=5gN`

The radius of the axle is `r=0.15m`

The radius of the wheel is `R=0.39m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.39=5g*0.15`

`F=(5g*0.15)/0.39=18.85N`

The force is `F=18.85N`

The distance is `d=0.09m`

The work is

`W=Fxxd=18.85*0.09=1.70J`