An object with a mass of #3 kg# is hanging from an axle with a radius of #2 cm#. If the wheel attached to the axle has a radius of #1 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 · 2017-06-14T04:58:15

The work is #=7.39J#

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The load #L=(3g)N#

Radius of axle #r=0.02m#

Radius of wheel #R=0.01m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.01=3*g*0.02#

#F=(3*g*0.02)/0.01=58.8N#

The force is #F=58.8N#

The distance is #d=2*pi*0.02=0.04pi#

The work is #W=F*d=58.8*0.04pi=7.39J#