Question

A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.31 x 10^4 rad/s to an angular speed of 3.22 x 10^4 rad/s. In the process, the bit turns through 1.59 x 10^4 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 9.31 x 10^4 rad/s, starting from rest?

Answer 1

Angle rotated during this time is

Let be the angular acceleration

Let t be the time taken to reach the max speed from the rest

,