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A chain is wrapped around a pulley and pulled with a force of 22.0 N. The...

A chain is wrapped around a pulley and pulled with a force of 22.0 N. The pulley has a radius of 0.30 m. The pulley's rotational speed increases from 0.0 to 12.0 rev/min in 6.00 s. What is the moment of inertia of the pulley? (Show all work, including formulas and units for full credit.)

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Answer #1

We know the change in angular velocity of the pulley in a given time. From this, we can find the angular acceleration.

We know the force being applied, as well as as the length of the moment arm of the force. From these, we can find the torque.

The torque and the angular acceleration are related as

, where is the moment of inertia.

Substituting our values and solving for the moment of inertia, we get

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