An object with a mass of #5 kg# is hanging from an axle with a radius of #18 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 · 2017-10-23T05:56:20

The work is #=1.89J#

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The load is #L=5gN#

The radius of the axle is #r=0.18m#

The radius of the wheel is #R=0.42m#

The effort is #=FN#

The acceleration due to gravity is #g=9.8ms^-2#

Taking moments about the center of the axle

#F*0.42=5g*0.18#

#F=5g*0.18/0.42=21N#

The force is #F=21N#

The distance is #d=0.09N#

The work is #W=Fd=21*0.09=1.89J#