Question

An object with a mass of `5 kg` is hanging from an axle with a radius of `8 cm`. If the wheel attached to the axle has a radius of `56 cm`, how much work would it take to turn the wheel a length equal to the circumference of the axle?

Answer 1

The work is `=24.63J`

Explanation:

The load is `L=5gN`

The radius of the axle is `r=0.08m`

The radius of the wheel is `R=0.56m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.56=5g*0.08`

`F=(5g*0.08)/0.56=7N`

The force is `F=7N`

The distance is `d=2piR=2*pi*0.56=3.52m`

The work is

`W=Fxxd=7*3.52=24.63J`