An object with a mass of #5 kg# is hanging from an axle with a radius of #8 cm#. If the wheel attached to the axle has a radius of #32 cm#, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jul 17, 2017

Answer:

The work is #=6.16J#

Explanation:

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The load #L=(5g)N#

Radius of axle #r=0.08m#

Radius of wheel #R=0.32m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.32=5g*0.08#

#F=(5*g*0.08)/0.32=12.25N#

The force is #F=12.25N#

The distance is #d=2pir=2*pi*0.08=0.16pim#

The work is

#W=Fd=12.25*0.16pi=6.16J#