An object with a mass of #4 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #24 cm#, how much work would it take to turn the wheel #22 cm#?

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Answer 1 · 2017-07-17T10:27:48

The work is #=2.87J#

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The load #L=(4g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.24m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.24=4g*0.08#

#F=(4*g*0.08)/0.24=13.07N#

The force is #F=13.07N#

The distance is #d=0.22m#

The work is

#W=Fd=13.07*0.22=2.87J#