Number of revolutions a disk has made after a given time

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1. A computer hard disk starts from rest, then speeds up with angular acceleration of 218 rad/s^2 until it reaches its final angular speed of 6660rpm. How many revolutions has the disk made 10.1s after it starts up?



3. The Attempt at a Solution .
I have no idea how to find the number of revolutions in the time given with what appers to be a changing acceleration rate. I am unsure what is going on or how to solve this problem. Please help!

 

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1. A computer hard disk starts from rest, then speeds up with angular acceleration of 218 rad/s^2 until it reaches its final angular speed of 6660rpm. How many revolutions has the disk made 10.1s after it starts up?



3. The Attempt at a Solution .
I have no idea how to find the number of revolutions in the time given with what appers to be a changing acceleration rate. I am unsure what is going on or how to solve this problem. Please help!

this is a constant angular acceleration problem. does that help? It has that constant acceleration until it reaches that speed, and after that, the acceleration equals zero.