An object with a mass of #8 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #65 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 · 2017-07-01T05:45:57

The work is #=1.89J#

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The load #L=(8g)N#

Radius of axle #r=0.05m#

Radius of wheel #R=0.65m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.65=8*g*0.05#

#F=(8*g*0.05)/0.65=6.03N#

The force is #F=6.03N#

The distance is #d=2pir=0.1pi=0.31m#

The work is

#W=F*d=6.03*0.31=1.89J#