An object with a mass of #200 kg# is hanging from an axle with a radius of #6 cm#. If the wheel attached to the axle has a radius of #15 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 · 2017-05-02T16:47:43

The work done is #=295.6J#

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The load L=(200g)N#

Radius of axle #r=0.06m#

Radius of wheel #R=0.15m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.15=200*g*0.06#

#F=(200*g*0.06)/0.15=784N#

The circumference of axle is #d=2pir=0.12pi#

The work done is

#W=Fd=784*0.12pi=295.6J#