An object with a mass of #300 kg# is hanging from an axle with a radius of #3 cm#. If the wheel attached to the axle has a radius of #81 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 · 2017-05-18T12:58:01

The work is #=20.53J#

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The load L=(300g)N#

Radius of axle #r=0.03m#

Radius of wheel #R=0.81m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.81=300*g*03#

#F=(300*g*0.03)/0.81=108.89N#

The distance is #d=2pir=0.06pim#

The work is

#W=F*d=108.89*0.06pi=20.53J#