An object with a mass of #300 kg# is hanging from an axle with a radius of #5 cm#. If the wheel attached to the axle has a radius of #12 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Nov 10, 2017

Answer:

The work is #=923.6J#

Explanation:

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The load is #L=300gN#

The radius of the axle is #r=0.05m#

The radius of the wheel is #R=0.12m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.12=300g*0.05#

#F=300g*0.05/0.12=1225N#

The force is #F=1225N#

The distance is #d=2piR=2pixx0.12=(0.24pi)m#

The work is

#W=Fxxd=1225*0.24pi=923.6J#