An object with a mass of #5 kg# is hanging from an axle with a radius of #24 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 3, 2017

Answer:

The work is #=55.4J#

Explanation:

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The load #L=(5g)N#

Radius of axle #r=0.24m#

Radius of wheel #R=0.32m#

Taking moments about the center of the axle

#F*R=L*r#

#F*0.32=5*g*0.24#

#F=(5*g*0.24)/0.32=36.75N#

The force is #F=36.75N#

The distance is #d=2pir=2pi*0.24=0.48pim#

The work is

#W=Fd=36.75*0.48*pi=55.4J#