An object with a mass of #5 kg# is hanging from an axle with a radius of #12 cm#. If the wheel attached to the axle has a radius of #45 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Nov 19, 2017

Answer:

The work is #=36.9J#

Explanation:

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The load is #L=(5g)N#

The radius of the axle is #r=0.12m#

The radius of the wheel is #R=0.45m#

The effort is #=(F)N#

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

Taking moments about the center of the axle

#F*0.45=5g*0.12#

#F=5g*0.12/0.45=13.1N#

The force is #F=13.1N#

The distance is #d=2piR=2pixx0.45=(0.9pi)m#

The work is

#W=Fxxd=13.1*0.9pi=36.9J#