An object with a mass of #5 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #42 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 · 2017-04-09T07:23:03

The work done is #=4.69J#

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The load #=(5g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.42m#

Taking moments about the center of the axle

#F*0.42=5*g*0.08#

#F=(5*g*0.08)/0.42=9.33N#

The distance is

#d=2*pi*0.08=0.16pi#

The work done is

#W=Fd=9.33*0.16pi=4.69J#