An object with a mass of #5 kg# is hanging from an axle with a radius of #15 cm#. If the wheel attached to the axle has a radius of #42 cm#, how much work would it take to turn the wheel #9 cm#?

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Answer 1 · 2017-07-16T06:46:15

The work is #=1.575J#

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The load #L=(5g)N#

Radius of axle #r=0.15m#

Radius of wheel #R=0.42m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.42=5g*0.15#

#F=(5*g*0.15)/0.42=17.5N#

The force is #F=17.5N#

The distance is #d=0.09m#

The work is

#W=Fd=17.5*0.09=1.575J#