An object with a mass of #5 kg# is hanging from an axle with a radius of #18 cm#. If the wheel attached to the axle has a radius of #42 cm#, how much work would it take to turn the wheel #12 cm#?

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Answer 1 · 2017-07-05T16:15:30

The work is #=2.52J#

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The load #L=(5g)N#

Radius of axle #r=0.18m#

Radius of wheel #R=0.42m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.42=5*g*0.18#

#F=(5*g*0.18)/0.42=21N#

The force is #F=21N#

The distance is #d=0.12m#

The work is

#W=Fd=21*0.12=2.52J#