An object with a mass of #4 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #27 cm#, how much work would it take to turn the wheel #9 cm#?

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Answer 1 · 2017-03-31T05:43:16

The work is #=1.96J#

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The load #=(4g)N#

Radius of axle #r=0.15m#

Radius of wheel #R=0.27m#

Taking moments about the center of the axle

#F*0.27=4*g*0.15#

#F=(4*g*0.15)/0.27=21.8N#

The distance is #=0.09m#

The work done is

#W=F*d=21.8*0.09=1.96J#