An object with a mass of #200 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #24 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 · 2017-04-24T15:25:48

The work is #=328.4J#

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The load L=(200g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.24m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.24=200*g*0.08#

#F=(200*g*0.08)/0.24=653.3N#

Distance is #d=2pir=2*pi*0.08=(0.16pi)m#

Work is #W=Fd=653.3*0.16pi=328.4J#