What is the formula for Angular Frequency?

The Angular Frequency formula is ω = 2π × f, where ω—Angular frequency (rad/s); f—Frequency (Hz).

What does ω mean in the Angular Frequency formula?

ω is Angular frequency (rad/s).

Angular Frequency

Q: How do you calculate Angular Frequency?

Use the formula ω = 2π × f. Angular frequency expresses how fast a sinusoid advances in radians per second, related to the ordinary frequency in hertz by a factor of 2π. Enter the values you know in the calculator above and it solves for the remaining variable.

ω = 2π · f

Calculator

Angular Frequency

Frequency

Result

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Formula

ω = 2π × f

Description

Angular frequency expresses how fast a sinusoid advances in radians per second, related to the ordinary frequency in hertz by a factor of 2π. It is the form that appears throughout AC analysis—in reactances (ωL, 1/ωC), phase (ωt), and resonance—because the mathematics of sines and complex exponentials is naturally written in radians.

Variables

ω — Angular frequency (rad/s)
f — Frequency (Hz)

Practical Notes

Use ω, not f, inside sin/cos and in reactance formulas: XL = ωL, XC = 1/(ωC). One full cycle is 2π radians.

Related Concepts

All AC Circuits formulas →

Resonant Frequency Impedance (RLC Series) Quality Factor (Bandwidth) Quality Factor (RLC) Power Factor Apparent Power Reactive Power RLC Circuit Bandwidth

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