What is the relationship between frequency and period?

Period (T) is the reciprocal of frequency (f): T = 1/f. A wave with a frequency of 10 Hz completes one full cycle every 0.1 seconds.

What is angular frequency?

Angular frequency (ω) measures how fast a wave oscillates in radians per second: ω = 2πf. It is used in mathematics and physics where circular or sinusoidal motion is described using radians.

How is wavelength calculated?

Wavelength (λ) equals wave speed (v) divided by frequency (f): λ = v/f. The result depends on the medium — a 1 kHz sound wave in air is about 0.343 m long, while a 1 kHz radio wave would be 300 km long.

Which wave speed should I choose?

Use "Light (EM)" for radio waves, microwaves, infrared, visible light, UV, X-rays, and gamma rays. Use "Sound (air)" for acoustic waves at room temperature. Use "Custom" for waves in other media such as water, steel, or glass.

What units are supported?

Inputs accept plain numbers in SI base units: Hz for frequency, seconds for period, rad/s for angular frequency, and meters for wavelength. You can also enter scientific notation such as 3e8 or 2.998e8.

Is this tool accurate?

Yes. Calculations use IEEE 754 double-precision arithmetic, which is accurate to about 15 significant digits — more than enough for any practical physics or engineering use.

Frequency Calculator

Name: Frequency Calculator
Availability: InStock
Author: Nham Vu

Enter any one wave quantity — frequency, period, angular frequency, or wavelength — and instantly get all the others.

Wave Speed

Wave speed: 2.998 × 10⁸ m/s

Enter One Value

Frequency (Hz)

Period (s)

Angular Frequency (rad/s)

Wavelength (m)

Results

Enter a value on the left to see all wave quantities.

Wave Formulas Used

f = 1 / T

T = 1 / f

ω = 2π × f

λ = v / f

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Summary

Enter any one wave quantity — frequency, period, angular frequency, or wavelength — and instantly get all the others.

How it works

Select the wave speed: light (≈ 3 × 10⁸ m/s), sound in air (343 m/s), or enter a custom speed.
Type a value into any one of the four fields: frequency (Hz), period (s), angular frequency (rad/s), or wavelength (m).
The calculator instantly derives the remaining three values using standard wave equations.
Results are displayed in both SI base units and human-readable notation with appropriate prefixes.
Use the Reset button to clear all fields and start a new calculation.

Use cases

Convert a radio station frequency (e.g. 98.5 MHz) to its wavelength.
Find the period and angular frequency of household AC power (50 Hz or 60 Hz).
Calculate the wavelength of visible light given a frequency in THz.
Determine the frequency of a sound wave from its measured wavelength.
Verify physics homework involving wave equations.
Design antenna lengths for RF engineering projects.
Explore the relationship between musical note frequencies and their periods.
Convert between rad/s and Hz for oscillating mechanical systems.

Frequently Asked Questions

Last updated: 2026-06-13 · Reviewed by Nham Vu