An object with a mass of #3 kg# is hanging from an axle with a radius of #3 cm#. If the wheel attached to the axle has a radius of #44 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Dec 6, 2017

Answer:

The work is #=5.54J#

Explanation:

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The load is #L=3gN#

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

The radius of the wheel is #R=0.44m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.44=3g*0.03#

#F=(3g*0.03)/0.44=2N#

The force is #F=2N#

The distance is #d=2piR=(0.88pi)m#

The work is #W=Fxxd=2*0.88pi=5.54J#