An object with a mass of #7 kg# is hanging from an axle with a radius of #25 cm#. If the wheel attached to the axle has a radius of #35 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 · 2017-04-25T16:33:21

The work is #=77J#

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The load L=(7g)N#

Radius of axle #r=0.25m#

Radius of wheel #R=0.35m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.35=7*g*0.25#

#F=(7*g*0.25)/0.35=49N#

Distance is #d=2pir=2*pi*0.25=(0.5pi)m#

Work is #W=Fd=49*0.5pi=77J#