A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.70 x 10⁴ rad/s to an angular speed of 5.38 x 10⁴ rad/s. In the process, the bit turns through 1.72 x 10⁴ rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.02  10⁴ rad/s, starting from rest?

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