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 #120 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 · 2017-04-09T06:44:00

The work done is #=13.85J#

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The load #=(300g)N#

Radius of axle #r=0.03m#

Radius of wheel #R=1.2m#

Taking moments about the center of the axle

#F*1.2=300*g*0.03#

#F=(300*g*0.03)/1.2=73.5N#

The distance is

#d=2*pi*0.03=0.06pi#

The work done is

#W=Fd=73.5*0.06pi=13.85J#