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 #33 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 · 2017-08-12T05:41:34

The work is #=134.3J#

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The load is #L=200gN#

The radius of the axle is #r=0.06m#

The radius of the wheel is #R=0.33m#

The effort is #=FN#

Taking moments about the center of the axle

#F*0.33=200g*0.06#

#F=200g*0.06/0.33=356.4N#

The distance is #d=2pir=2*pi*0.06=0.12pi#

The work is

#W=Fd=356.4*0.12pi=134.3J#