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 320000 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 2.16 s. Calculate the angular acceleration produced by the drill, assuming it to be constant. Give answer in rev/s.


How many revolutions does the drill bit make as it comes up to speed? Do not enter unit.

Explanation / Answer

Angular speed=302000 rpm=302000/60=5033.33 rev/s A)=>Angular acceleration=5033.33/2.17=2319.5 rev/s^2 B)revolutions by drill bit to pic full speed=5033.33 x 2.17 =10922.33 revolutions

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