An object with a mass of #8 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
Jun 21, 2017

Answer:

The work is #=8.21J#

Explanation:

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The load #L=(8g)N#

Radius of axle #r=0.05m#

Radius of wheel #R=0.15m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.15=8*g*0.05#

#F=(8*g*0.05)/0.15=26.13N#

The force is #F=26.13N#

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

The work is #W=Fd=26.13*0.1pi=8.21J#