An object with a mass of #4 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #24 cm#, how much work would it take to turn the wheel #12 cm#?

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Answer 1 · 2017-04-19T05:26:01

The work done is #=1.57J#

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The load #=(4g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.24m#

Taking moments about the center of the axle

#F*0.24=4*g*0.08#

#F=(4*g*0.08)/0.24=13.07N#

The work done is

#W=F*d#

#=13.07*0.12#

#=1.57J#