The drill used by most dentists today is powered by a small air turbine that can

Question

The drill used by most dentists today is powered by a small air turbine that can operate at angular speeds of 3.67 × 10^4 rad/s (about 350,000 revolutions per minute). 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 from rest and comes up to its operating speed in 1.8 s.
a. Find the angular acceleration produced by the drill, assuming it is constant.
b. How many revolutions does the drill bit make as it comes up to speed?

Explanation / Answer

Speed = 350,000 rev/min = 350,000 /60 (rev/second) = 5833.33 rev/second Acceleration = Speed/ time = (5833.33 rev/second) / 1.8 seconds = [3240.74 rev/(second^2)]

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