An object with a mass of #3 kg# is hanging from an axle with a radius of #6 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel #8 cm#?

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Answer 1 · 2017-06-15T05:45:10

The work is #=1.176J#

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The load #L=(3g)N#

Radius of axle #r=0.06m#

Radius of wheel #R=0.12m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.12=3*g*0.06#

#F=(3*g*0.06)/0.12=14.7N#

The force is #F=14.7N#

The distance is #d=0.08m#

The work is #W=F*d=14.7*0.08=1.176J#