If f be the frequency of an object in circular motion, then the object will complete one revolution in 1/f second, which is known as time period.
Time Period T = 1/f
Relation Between Angular Velocity, Frequency and Time Period
Let a point object is moving in a uniform circular motion with frequency (f) and time period (T). Then, the object complete one revolution in T time and traced angle in complete one revolution is 2π.
Relation Between Linear Velocity (v) and Angular Velocity (ω)
Let a particle moving on circular track of radius r is showing angular displacement ∆θ in time ∆t. In this time period, it covers a distance ∆s along the circular track.