An object with a mass of #4 kg# is hanging from an axle with a radius of #36 cm#. If the wheel attached to the axle has a radius of #8 cm#, how much work would it take to turn the wheel #36 cm#?

1 Answer
Oct 16, 2017

Answer:

The work is #=63.5J#

Explanation:

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The load is #L=4gN#

The radius of the axle is #r=0.36m#

The radius of the wheel is #R=0.08m#

The effort is #=FN#

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

Taking moments about the center of the axle

#F*0.08=4g*0.36#

#F=4g*0.36/0.08=176.4N#

The force is #F=176.4N#

The distance is #d=0.36m#

The work is #W=Fd=176.4xx0.36=63.5J#