Finding angular acceleration from deceleration

AI Thread Summary
To find the average angular acceleration during deceleration, the change in angular speed is calculated by subtracting the final speed (0 rad/s) from the initial speed (371 rad/s), resulting in a change of -371 rad/s. This change occurs over a time period of 39 seconds. Therefore, the average angular acceleration is -371 rad/s / 39 s, which equals approximately -9.51 rad/s². The negative sign indicates that the object is decelerating. Understanding this concept clarifies the calculation of angular acceleration in deceleration scenarios.
Sneakatone
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a-c are correct but I don't know how to find part d.

d)when turned off, it decelerates to a stop in 39s. What is its average angular acceleration during this time?

I treated this part as part c to just find angular acceleration like normal.
371.75 rad/s / 39s=9.51 rad/s^2.
should it be negative because it decelerates?
 

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Sneakatone said:
should it be negative because it decelerates?

Yep!

Angular acceleration is defined as (change in angular speed)/(change in time). The speed goes from 371 rad/s to 0, that gives you a negative number.
 
Oh wow. Thanks!
 
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