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

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Answer 1 · 2017-06-30T05:56:21

The work is #=24.46J#

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The load #L=(4g)N#

Radius of axle #r=0.15m#

Radius of wheel #R=0.08m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.08=4*g*0.15#

#F=(4*g*0.15)/0.08=73.5N#

The force is #F=73.5N#

The distance is #d=0.36m#

The work is

#W=F*d=73.5*0.36=26.46J#