An object with a mass of 7 kg is hanging from an axle with a radius of 15 cm. If the wheel attached to the axle has a radius of 75 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Aug 9, 2017

The work is =12.93J

Explanation:

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The load is L=7gN

The radius of the axle is r=0.15m

The radius of the wheel is R=0.75m

The effort is =FN

Taking moments about the center of the axle

F*0.75=7g*0.15

F=7g*0.15/0.75=13.72N

The distance is d=2pir=2*pi*0.15=0.3pi

The work is

W=Fd=13.72*0.3pi=12.93J