g initial angular velocity of 39.1 rad/s. It starts to slow down uniformly and comes to rest, making 76.8 revolutions during the process. a) What is its angular acceleration (in rad/s2 )

Approximately .

Explanation:

This question suggests that the rotation of this object slows down "uniformly". Therefore, the angular acceleration of this object should be constant and smaller than zero.

This question does not provide any information about the time required for the rotation of this object to come to a stop. In linear motions with a constant acceleration, there's an SUVAT equation that does not involve time:

,

where

The angular analogue of that equation will be:

, where

For this object:

The question is asking for an angular acceleration with the unit . However, the angular displacement from the question is described with the number of revolutions. Convert that to radians:

.

Rearrange the equation and solve for :

.

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explanation: