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 #48 cm#, how much work would it take to turn the wheel #36 cm#?

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Answer 1 · 2017-05-12T15:50:05

The work is #=2.35J#

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The load L=(4g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.48m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.48=4*g*0.08#

#F=(4*g*0.08)/0.48=6.53N#

The work is

#W=F*d#

#d=0.36m#

#W=6.53*0.36=2.35J#