Question

An object with a mass of `5 kg` is hanging from an axle with a radius of `24 cm`. If the wheel attached to the axle has a radius of `32 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 `=55.4J`

Explanation:

The load `L=(5g)N`

Radius of axle `r=0.24m`

Radius of wheel `R=0.32m`

Taking moments about the center of the axle

`F*R=L*r`

`F*0.32=5*g*0.24`

`F=(5*g*0.24)/0.32=36.75N`

The force is `F=36.75N`

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

The work is

`W=Fd=36.75*0.48*pi=55.4J`