A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.09 x 104 rad/s to an angular speed of 5.01 x 104 rad/s. In the process, the bit turns through 3.23 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.42 x 104 rad/s, starting from rest?
The units of angular acceleration is rad/s^2.
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