An object with a mass of #200 kg# is hanging from an axle with a radius of #6 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

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Answer 1 · 2017-03-01T14:59:40

The work is #=369.5J#

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The load is #=200gN#

The radius of axle is #=0.06m#

The radius of wheel is #=0.12m#

The effort is #=Ekg#

Taking moments about the center of the axle

#200g*0.06=E*0.12#

#E=(200g*0.06)/0.12=100gN#

Force =100gN

Distance #=2*pi*0.06=0.12pi#

Work done #=100g*0.12pi=369.5J#