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 `12 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 `=923.6J`

Explanation:

The load is `L=300gN`

The radius of the axle is `r=0.05m`

The radius of the wheel is `R=0.12m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.12=300g*0.05`

`F=300g*0.05/0.12=1225N`

The force is `F=1225N`

The distance is `d=2piR=2pixx0.12=(0.24pi)m`

The work is

`W=Fxxd=1225*0.24pi=923.6J`