At a circus you see a man spinning plates with a radii of 75 cm on top of long poles. The plates have a constant angular acceleration of 0.6 rad/s^2. Assuming the plates start from rest, after a time of 8 seconds calculate a) how many rotations they made, b) angular velocity, c) tangiential acceleration, d) radial acceleration, e) overall acceleration

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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.