An object with a mass of #5 kg# is hanging from an axle with a radius of #24 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel #3 cm#?

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Answer 1 · 2017-10-27T06:01:16

The work is =2.94J#

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The load is #L=5gN#

The radius of the axle is #r=0.24m#

The radius of the wheel is #R=0.12m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.12=5g*0.24#

#F=5g*0.24/0.12=98N#

The force is #F=98N#

The distance is #d=0.03m#

The work is #W=Fd=98*0.03=2.94J#