An object with a mass of #300 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #125 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jul 18, 2017

The work is #=36.95J#

Explanation:

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The load #L=(300g)N#

Radius of axle #r=0.05m#

Radius of wheel #R=1.25m#

Taking moments about the center of the axle

#F*R=L*r#

#F*1.25=300g*0.05#

#F=(300*g*0.05)/1.25=117.6N#

The force is #F=117.6N#

The distance is #d=2*pi*0.05=0.1pim#

The work is

#W=Fd=117.6*0.1pi=36.95J#