An object with a mass of #4 kg# is hanging from an axle with a radius of #16 cm#. If the wheel attached to the axle has a radius of #8 cm#, how much work would it take to turn the wheel #6 cm#?

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Answer 1 · 2017-05-25T16:20:25

The work is #=4.7J#

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The load L=(4g)N#

Radius of axle #r=0.16m#

Radius of wheel #R=0.08m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.08=4*g*0.16#

#F=(4*g*0.16)/0.08=78.4N#

The force is #=78.4N#

The work is

#W=F*d#

The distance is #=0.06m#

The work is

#W=78.4*0.06=4.7J#