*26.  A dentist causes the bit of a high-speed drill to accelerate from an angular speed of 1.05 x 104 rad/s to an angular speed of 3.14 x 104 rad/s. In the process, the bit turns through 1.88 x 104 rad. Assuming a constant angular acceleration, how long would it take the bit to reach its maximum speed of 7.85 x 104 rad/s, starting from rest?

 

Solving for t

 

So we need an angular acceleration.  We have been given the angle moved through to change between two angular speeds.

 

 

 

 

 

Now we can use this angular acceleration in the equation

 

 

 

 

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This page last updated on January 11, 2020