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 #15 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Aug 24, 2017

Answer:

The work done is #=307.9J#

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=0.15m#

The effort is #=FN#

Taking moments about the center of the axle

#F*0.15=300g*0.05#

#F=300g*0.05/0.15=980N#

The force is #F=980N#

The distance is #d=2pir=2*pi*0.05=0.1pi#

The work is #W=980*0.1pi=307.9J#