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 #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 · 2017-04-08T08:50:09

The work done is #=118.2J#

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The load #=(5g)N#

Radius of axle #r=0.24m#

Radius of wheel #R=0.15m#

Taking moments about the center of the axle

#F*0.15=5*g*0.24#

#F=(5*g*0.24)/0.15=78.4N#

The work done is

#W=F*d#

#d=2*pi*0.24#

#W=78.4*pi*0.48=118.2J#