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Angular Velocity

The symbol for angular velocity is lower case omega - ω

Angular velocity is measured in radians - see here for more details

Angles are represented by lower case theta - θ

T is the period of rotation

f is frequency of rotation

The diagram above shows a line sweeping around in a circle. At a particular moment, it’s at angle θ 'theta' from the horizontal. Suppose it took time 't' to get there, its angular velocity is omega

ω = Δθ/Δt

Now, to make one full revolution Δθ would be 2π (as theree are 2π radians in a full circle)

Period T is the time taken for one full cycle - or one full revolution

So we have Δθ = 2π and Δt = T

So we get:

ω =2π/T

And as s T = 1/f where f = frequency

ω = 2πf