**Angular displacement**

The angular displacement of the object moving in a circular direction is defined as the angle traced out by the radius vector at the center of the circular path in a given time. The SI-unit of angular displacement is radian.

**Angular velocity**

The time rate of angular displacement is called angular velocity and is denoted by ω.

Mathematically, ω

_{av}= angular displacement / time interval = (θ

_{2}– θ_{1})/(t_{2}– t_{1}) = ∆θ/∆t

**Time period**

The period of an object in circular motion is defined as the time taken to complete one revolution. It is denoted by T. since in time T, the object completes one revolution i.e. an angle of 2π radians, angular velocity of an object is

ω = 2π/T

**Frequency**

The number of revolutions completed per second by an object in circular motion is called frequency and is denoted by f. the relation between the frequency, f and period, T is

F = 1/T

Therefore, we have

The unit of frequency is hertz, Hz.

**Angular acceleration**

The rate of change of angular velocity with respect to time is called angular acceleration. It is denoted by α.

.: Angular acceleration, α = Change in angular velocity/time taken

If ω

_{0}and ω are the initial and final angular velocities and t is the time taken to change the angular velocity, then, α = (ω – ω

_{0})/ t ω = ω

_{0}+ α. TAngular acceleration is measured in radian per second square (rad. s

^{-2}) and its dimensional formula is [M^{0}L^{0}T^{-2}]. Angular acceleration is also given by, dω/dt

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