An object with a mass of #4 kg# is hanging from an axle with a radius of #18 cm#. If the wheel attached to the axle has a radius of #24 cm#, how much work would it take to turn the wheel #16 cm#?

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Answer 1 · 2017-11-27T12:25:54

The work is #=4.7J#

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The load is #L=4gN#

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

The radius of the wheel is #R=0.24m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.24=4g*0.18#

#F=4g*0.18/0.24=29.4N#

The force is #F=29.4N#

The distance is #d=0.16m#

The work is #W=Fxxd=29.4xx0.16=4.7J#