Dimensional formula of angular frequency

Angular frequency
[T−1]
Written in full: [M⁰ L⁰ T⁻¹ A⁰ K⁰]

How to derive it

Angular frequency = 2π × Frequency

Put in the dimensions of each part: [T⁻¹] = [T⁻¹].

mass (M)
0
length (L)
0
time (T)
-1
current (A)
0
temperature (K)
0

SI unit

The SI unit of angular frequency is rad/s.

Same dimensions as angular frequency

These quantities have exactly the same dimensions, a favourite trick in JEE and NEET "which pair has the same dimensions" questions:

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More from Oscillations and waves

QuantityFormula
Spring constant[M T−2]
Intensity of a wave[M T−3]
Wave number[L−1]
Linear mass density[M L−1]
Time period[T]