How to use the wave number and angular frequency calculator
Find the wave number, angular frequency and phase speed of a wave from its wavelength and frequency. Enter wavelength, frequency in the fields above; the wave number, angular frequency, phase speed are computed instantly and plotted on the chart so you can see how the answer changes.
Common searches this calculator answers include “wave number k”, “angular frequency omega”, “phase velocity”, “calculate wave number and angular frequency”, “find wave number”.
Formula
Variables
- lam — Wavelength (m)
- f — Frequency (Hz)
Worked example
With wavelength = 0.5 m, frequency = 10 Hz, the calculator gives wave number ≈ 12.56637 rad/m; angular frequency ≈ 62.83185 rad/s; phase speed ≈ 5 m/s.
Frequently asked questions
What is the wave number and angular frequency calculator used for?
Find the wave number, angular frequency and phase speed of a wave from its wavelength and frequency. It helps with questions such as “wave number k”, “angular frequency omega”, “phase velocity”.
What is the formula for the wave number and angular frequency calculation?
Wave number (rad/m) = 2 × π / lam. Angular frequency (rad/s) = 2 × π × f. Phase speed (m/s) = f × lam. Here lam is wavelength (m), f is frequency (Hz).
What inputs do I need for the wave number and angular frequency calculator?
You need wavelength in m, frequency in Hz. Each field is pre-filled with a typical example so you can see how the result responds as you edit the numbers.
How do I use the wave number and angular frequency calculator?
Type values into the input fields. Results and the chart update instantly. Use Reset to restore the example values, Copy results to paste them elsewhere, or Share to copy a link that preserves your inputs.
Is the wave number and angular frequency result exact?
Calculations use standard formulas and double-precision arithmetic, then display about seven significant figures. Real-world measurements carry uncertainty, so treat results as estimates unless your inputs are exact.