An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #12 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 · 2017-03-30T05:28:57

The work is #=147.8J#

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The load #=(5g)N#

Radius of axle #r=0.24m#

Radius of wheel #R=0.12m#

Taking moments about the center of the axle

#F*0.12=5*g*0.24#

#F=(5*g*0.24)/0.12=10g=98N#

The distance is #=2*pi*0.24=0.48pi#

The work done is

#W=F*d=98*0.48pi=147.8J#