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

1 Answer
Jun 21, 2017

The work is =19.7J

Explanation:

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The load L=(2g)N

Radius of axle r=0.24m

Radius of wheel R=0.36m

Taking moments about the center of the axle

F*R=L*r

F*0.36=2*g*0.24

F=(2*g*0.24)/0.36=13.1N

The force is F=13.1N

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

The work is W=Fd=13.1*0.48pi=19.7J