Angular Frequency Calculator
Calculate angular frequency from ordinary frequency.
Angular Frequency measurements
Enter your values, then calculate.
Result
How to calculate angular frequency
Angular frequency describes how quickly something oscillates or rotates in terms of radians per second, related to ordinary frequency (in Hz) by a factor of 2π.
How the calculation works
Angular frequency (ω) = 2π × Frequency. Since one full cycle covers 2π radians, multiplying frequency (cycles per second) by 2π converts to radians per second.
Example
A 60 Hz electrical signal: Angular frequency = 2π × 60 ≈ 376.99 radians per second.
Frequently asked questions
How is Result calculated?
Result = 2 × pi() × [Frequency].
Is the Angular Frequency Calculator free to use?
Yes — every calculator on Simple Calculator Tools is free, runs in your browser, and does not require an account.
Angular Frequency Calculator
Angular frequency (ω) = 2π × Frequency. Since one full cycle covers 2π radians, multiplying frequency (cycles per second) by 2π converts to radians per second.
Let's understand your angular frequency result.
Calculate a result above and this guide will help you interpret it using this calculator's own formula and explanation.
Pro Tips for Angular Frequency
- Angular frequency (ω, in rad/s) and ordinary frequency (f, in Hz) are easy to mix up — many physics and engineering formulas specifically require ω, not f, so double-check which one a given formula calls for.
- This relationship holds regardless of what's oscillating — electrical signals, pendulums, springs, or rotating machinery all use the same 2π conversion.
Common Angular Frequency Mistakes to Avoid
- Using frequency (Hz) directly in a formula that calls for angular frequency (rad/s), which will produce a result off by a factor of 2π.
When to Use This Calculator
Angular frequency describes how quickly something oscillates or rotates in terms of radians per second, related to ordinary frequency (in Hz) by a factor of 2π.