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 `15 cm`, how much work would it take to turn the wheel a length equal to the circumference of the axle?

Answer 1

The work done is `=307.9J`

Explanation:

The load is `L=300gN`

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

The radius of the wheel is `R=0.15m`

The effort is `=FN`

Taking moments about the center of the axle

`F*0.15=300g*0.05`

`F=300g*0.05/0.15=980N`

The force is `F=980N`

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

The work is `W=980*0.1pi=307.9J`