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 #36 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Oct 24, 2017

Answer:

The work is #=738.9J#

Explanation:

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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=0.36m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.36=200g*0.06#

#F=200g*0.06/0.36=326.7N#

The force is #F=326.7N#

The distance is #d=2piR=0.72pi#

The work is #W=Fd=326.7*0.72pi=738.9J#