Question

An object with a mass of `2 kg` is hanging from an axle with a radius of `24 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 is `=47.3J`

Explanation:

The load is `L=2gN`

The radius of the axle is `r=0.24m`

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

The effort is `=FN`

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

Taking moments about the center of the axle

`F*0.15=2g*0.24`

`F=(2g*0.24)/0.15=31.36N`

The force is `F=31.36N`

The distance is `d=2pir=2pi*0.24=0.48pim`

The work done is

`W=F*d=31.36*0.48pi=47.3J`