An object with a mass of 200 kg is hanging from an axle with a radius of 6 cm. If the wheel attached to the axle has a radius of 33 cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Aug 12, 2017

The work is =134.3J

Explanation:

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The load is L=200gN

The radius of the axle is r=0.06m

The radius of the wheel is R=0.33m

The effort is =FN

Taking moments about the center of the axle

F*0.33=200g*0.06

F=200g*0.06/0.33=356.4N

The distance is d=2pir=2*pi*0.06=0.12pi

The work is

W=Fd=356.4*0.12pi=134.3J