Question

An object with a mass of `300 kg` is hanging from an axle with a radius of `5 cm`. If the wheel attached to the axle has a radius of `125 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 `=36.95J`

Explanation:

The load `L=(300g)N`

Radius of axle `r=0.05m`

Radius of wheel `R=1.25m`

Taking moments about the center of the axle

`F*R=L*r`

`F*1.25=300g*0.05`

`F=(300*g*0.05)/1.25=117.6N`

The force is `F=117.6N`

The distance is `d=2*pi*0.05=0.1pim`

The work is

`W=Fd=117.6*0.1pi=36.95J`