An object with a mass of #2 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #18 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 · 2017-06-11T05:23:25

The work is #=39.41J#

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The load L=(2g)N#

Radius of axle #r=0.24m#

Radius of wheel #R=0.18m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.18=2*g*0.24#

#F=(2*g*0.24)/0.18=26.13N#

The force is #=26.13N#

The distance is #d=2*pi*0.24m#

The work is

#W=F*d=26.13*0.48pi=39.41J#