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 #16 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 · 2017-04-23T06:02:56

The work is #=0.46J#

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The load L=(3g)N#

Radius of axle #r=0.02m#

Radius of wheel #R=0.16m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.16=3*g*0.02#

#F=(3*g*0.02)/0.16=3.675N#

Distance is #d=2pir=2*pi*0.02=0.04pim#

Work is #W=Fd=3.675*0.04pi=0.46J#