Relation between angular velocity and time period
In this video, I am teaching about the relationship between period and angular velocity for a body that is in a uniform circular motion
In a circular motion, angular velocity ω is the angle covered divided by the time taken or, the time rate of the angle covered.
The period T is the time taken to repeat the motion. So it is the time taken to complete one circle and 2 π radians.
T = 2 π / ω or ω = d θ / d t = 2 π / T