An object with a mass of #200 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #44 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 · 2017-05-30T06:23:17

The work is #=179.13J#

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The load L=(200g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.44m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.44=200*g*0.08#

#F=(200*g*0.08)/0.44=356.4N#

The force is #=346.4N#

The work is

#W=F*d#

The distance is #=2pi*0.08=0.16pim#

The work is

#W=356.4*0.16pi=179.13J#