The drill used by most dentists today ispowered by a small air turbine that can operate at angular speedsof 350,000 rpm. These drills, along with ultrasonic dental drills,are the fastest turbines in the world—far exceeding the angularspeeds of jet engines. Suppose a drill starts at rest and comes upto operating speed in 2.1 s. (a) Find the angular acceleration produced by the drill, assuming it to be constant. (b) How many revolutions does the drill bit make as it comes up to speed?
Angular speed, acceleration and displacement
Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.
Angular Position
Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.
The drill used by most dentists today is
powered by a small air turbine that can operate at angular speeds
of 350,000 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 2.1 s. (a) Find the
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