An object with a mass of #7 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #55 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 · 2017-06-03T12:30:25

The work is #=17.63J#

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The load L=(7g)N#

Radius of axle #r=0.15m#

Radius of wheel #R=0.55m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.55=7*g*0.15#

#F=(7*g*0.15)/0.55=18.71N#

The force is #=18.71N#

The distance is #=2pir=2*0.15*pi=0.3pi#

The work is

#W=F*d=18.71*0.3pi=17.63J#