Question

An object with a mass of `2 kg` is hanging from an axle with a radius of `24 cm`. If the wheel attached to the axle has a radius of `36 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 `=19.7J`

Explanation:

The load `L=(2g)N`

Radius of axle `r=0.24m`

Radius of wheel `R=0.36m`

Taking moments about the center of the axle

`F*R=L*r`

`F*0.36=2*g*0.24`

`F=(2*g*0.24)/0.36=13.1N`

The force is `F=13.1N`

The distance is `d=2pir=2pi*0.24=0.48pi`

The work is `W=Fd=13.1*0.48pi=19.7J`