An object with a mass of 5kg is hanging from an axle with a radius of 24cm. If the wheel attached to the axle has a radius of 32cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jul 3, 2017

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

FR=Lr

F0.32=5g0.24

F=5g0.240.32=36.75N

The force is F=36.75N

The distance is d=2πr=2π0.24=0.48πm

The work is

W=Fd=36.750.48π=55.4J