Angular Frequency is defined as rate of change of angular displacement.
Mathematically,
Angular Frequency can be defined as frequency in cycles multiplied by 2π.
Dimensional Formula of Frequency = 1/ M0L0T1 = M0L0T-1
Putting these values in above equation we get,
Dimensional Formula of Angular Frequency = 1/ M0L0T1 = M0L0T-1
SI unit of Angular Frequency is radian/sec.