An object with a mass of #3 kg# is hanging from an axle with a radius of #12 cm#. If the wheel attached to the axle has a radius of #32 cm#, how much work would it take to turn the wheel #3 cm#?

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Answer 1 · 2017-05-07T06:36:01

The work is #=0.33J#

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The load L=(3g)N#

Radius of axle #r=0.12m#

Radius of wheel #R=0.32m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.32=3*g*0.12#

#F=(3*g*0.12)/0.32=11.025N#

The distance is

#d=0.03m#

The work done is

#W=Fd=11.025*0.03=0.33J#