Definition:Angular Frequency

Definition

Let $f$ be a physical process that can be modelled by a periodic function whose nature is that of a sinusoid.

The angular frequency of $f$ is a measure of the rate of oscillation of $f$ equal to $2 \pi \nu$, where $\nu$ is the frequency of $f$.

Dimension

Angular frequency has dimension $\mathsf T^{-1}$.

Units

The unit of measurement of angular frequency is the radian per second.

Symbol

The usual symbol used to denote angular frequency is $\omega$.

Also known as

Angular frequency is also known as pulsatance.

Also see

• Results about angular frequency can be found here.

Sources

• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): angular frequency
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): angular frequency