An object with a mass of #8 kg# is hanging from an axle with a radius of #27 cm#. If the wheel attached to the axle has a radius of #45 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 · 2017-04-04T06:22:10

The work done is #=79.8J#

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The load #=(8g)N#

Radius of axle #r=0.27m#

Radius of wheel #R=0.45m#

Taking moments about the center of the axle

#F*0.45=8*g*0.27#

#F=(8*g*0.27)/0.45=47.04N#

Circumference of the axle, #d=2pi*0.27m#

Work done #=F*d#

#=47.04*2pi*0.27#

#=79.8J#