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A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.42 x 10⁴ rad/s to an angular speed of 3.13 x 10⁴ rad/s. In the process, the bit turns through 1.68 x 10⁴ rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.03 x 10⁴ rad/s, starting from rest?

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