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 `85 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=0.85m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.85=300g*0.05`

`F=(300g*0.05)/0.85=172.9N`

The force is `F=172.9N`

The distance is `d=2piR=2xxpixx0.85=1.7pim`

The work is `W=Fxxd`

`W=172.9*1.7pi=923.6J`