An object with a mass of #4 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #24 cm#, how much work would it take to turn the wheel #4 cm#?

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Answer 1 · 2017-09-25T12:27:13

The work is #=0.52J#

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The load is #L=4gN#

The radius of the axle is #r=0.08m#

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

The effort is #=FN#

Taking moments about the center of the axle

#F*0.24=4g*0.08#

Plugging in the value of #g=9.8ms^-2#

#F=4g*0.08/0.24=13.07N#

The force is #F=13.07N#

The distance is #=0.04m#

The work is #W=Fd=13.07*0.04=0.52J#