An object with a mass of #3 kg# is hanging from an axle with a radius of #3 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 · 2017-04-13T05:50:57

The work done is #=0.69J#

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The load #=(3g)N#

Radius of axle #r=0.03m#

Radius of wheel #R=0.24m#

Taking moments about the center of the axle

#F*0.24=3*g*0.03#

#F=(3*g*0.03)/0.24=3.675N#

The distance is

#d=2*pi*0.03=0.06pi#

The work done is

#W=F*d=3.675*0.06pi=0.69J#