What is Dimensional Formula of Angular Speed?

Angular speed is defined as the time at which  rate of change of angular position of an object occurs.

Mathematically,
Angular speed (ω) = 2π/ Time.

Dimensional Formula of Time = M⁰L⁰T¹
And we know π is non dimensional so
Putting these values in above equation we get,

Dimensional Formula of Angular speed = M⁰L⁰T^-1
SI unit of Angular speed is radians per sec (rad s ^{-1) .}