An object with a mass of #300 kg# is hanging from an axle with a radius of #3 cm#. If the wheel attached to the axle has a radius of #90 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Oct 29, 2017

Answer:

The work is #=554.2J#

Explanation:

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The load is #L=300gN#

The radius of the axle is #r=0.03m#

The radius of the wheel is #R=0.90m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.9=300g*0.03#

#F=300g*0.03/0.9=98N#

The force is #F=98N#

The distance is #d=2piR=2pi*0.9=1.8pim#

The work is #W=Fd=98*1.8pi=554.2J#