An object with a mass of 7kg is hanging from an axle with a radius of 15cm. If the wheel attached to the axle has a radius of 55cm, how much work would it take to turn the wheel a length equal to the circumference of the axle?

1 Answer
Jun 3, 2017

The work is =17.63J

Explanation:

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The load L=(7g)N#

Radius of axle r=0.15m

Radius of wheel R=0.55m

Taking moments about the center of the axle

FR=Lr

F0.55=7g0.15

F=7g0.150.55=18.71N

The force is =18.71N

The distance is =2πr=20.15π=0.3π

The work is

W=Fd=18.710.3π=17.63J