Question

An object with a mass of `300 kg` is hanging from an axle with a radius of `3 cm`. If the wheel attached to the axle has a radius of `96 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 `=554.2J`

Explanation:

The load is `L=300gN`

The radius of the axle is `r=0.03m`

The radius of the wheel is `R=0.96m`

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.96=300g*0.03`

`F=(300g*0.03)/0.96=91.875N`

The force is `F=91.875N`

The distance is `d=2piR=2*pi*0.96m`

The work done is

`W=F*d=91.875*2*pi*0.96=554.2J`