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 `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 `=6.16J`

Explanation:

The load `L=(5g)N`

Radius of axle `r=0.08m`

Radius of wheel `R=0.32m`

Taking moments about the center of the axle

`F*R=L*r`

`F*0.32=5g*0.08`

`F=(5*g*0.08)/0.32=12.25N`

The force is `F=12.25N`

The distance is `d=2pir=2*pi*0.08=0.16pim`

The work is

`W=Fd=12.25*0.16pi=6.16J`