Dental Turbine Turbines

Help with finding angular acceleration?!?
The drill used by most dentists today is powered by a small air-turbine that can operate at angular speeds of 307000 rpm. These drills, along with ultrasonic dental drills, are the fastest turbines in the world - far exceeding the angular speeds of jet engines. Suppose a drill starts at rest and comes up to operating speed in 2.17 s.
A) Calculate the angular acceleration produced by the drill, assuming it to be constant. Give answer in rev/s.
B) How many revolutions does the drill bit make as it comes up to speed?
Angular speed=307000 rpm=307000/60=5116.67 rev/s
A)=>Angular acceleration=5116.66/2.17=2357.91 rev/s^2
B)revolutions by drill bit to pic full speed=5116.67 x 2.17
=11103.17 revolutions
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