An object with a mass of #300 kg# is hanging from an axle with a radius of #6 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-05-06T06:11:13

The work is #=554.2J#

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The load L=(300g)N#

Radius of axle #r=0.06m#

Radius of wheel #R=0.12m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.12=300*g*0.06#

#F=(300*g*0.06)/0.12=1470N#

The distance is

#d=2*pi*0.06=0.38m#

The work done is

#W=Fd=1470*0.38=554.2J#