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Wavelength Calculator (λ = v/f, period, wave number, angular frequency)

· Last updated：2026-07-03

Solve wavelength, frequency, or wave speed from v=f·λ, with derived period, angular frequency, wave number, and photon energy

Details

What this tool helps you do

Universal wave equation: v = f · λ.

Three-way solver:

  • λ = v / f, f = v / λ, v = f · λ

Derived: period T = 1/f, angular frequency ω = 2πf, wave number k = 2π/λ.
For light: photon energy E = hf (h = 6.626e-34 J·s).

Medium presets: air 343 m/s, water 1493 m/s, steel ~5960 m/s, light 299792458 m/s.

Execution

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Written by the Elysia Tools team
Math502
Speed53
Physics22
Angular Frequency3

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Math & Numbers
Input types
select, number
Output type
html
Sample coverage
4
API ready
Yes

Overview

The Wavelength Calculator is a physics utility designed to solve the universal wave equation (v = f · λ) by calculating wavelength, frequency, or wave speed when given the other two variables. It features built-in medium presets for air, water, steel, and light, and automatically computes derived wave properties including period, angular frequency, wave number, and photon energy.

When to use

  • When analyzing acoustic waves in different mediums like air, water, or steel to find their physical wavelength or frequency.
  • When calculating electromagnetic wave properties, such as converting light wavelength to frequency and determining photon energy.
  • When solving physics homework or engineering problems involving wave mechanics, period, angular frequency, and wave number.

How it works

  1. 1Select the variable you want to solve for: Wavelength, Frequency, or Wave Speed.
  2. 2Choose a medium preset to automatically set the wave speed, or select Custom to input a specific velocity manually.
  3. 3Enter the known value for either wavelength or frequency in the designated input field.
  4. 4Click calculate to view the solved variable alongside derived values like wave period, angular frequency, wave number, and photon energy.

Use cases

  • Acoustic engineering: Calculating the wavelength of specific sound frequencies in air or water to design soundproofing or sonar systems.
  • Optics and photonics: Converting laser wavelengths to frequency and calculating the corresponding photon energy in electronvolts.
  • Physics education: Verifying manual calculations for wave equations, angular frequency, and wave numbers in classroom assignments.

Examples

1. Calculating Sound Wavelength in Air

Acoustic Consultant

Background

An acoustic consultant needs to find the physical wavelength of a 440 Hz tuning fork sound wave in a room at room temperature to position acoustic panels.

Problem

Determine the wavelength of a 440 Hz sound wave traveling through air at 343 m/s.

How to use

Set 'Solve For' to Wavelength, choose the 'Air' medium preset (which sets speed to 343 m/s), enter 440 in the Frequency field, and run the calculation.

Outcome

The calculator outputs a wavelength of approximately 0.7795 meters and a wave period of 2.27 milliseconds.

2. Determining Red Light Frequency and Photon Energy

Physics Student

Background

A student is studying the photoelectric effect and needs to find the frequency and photon energy of red light with a wavelength of 700 nm.

Problem

Calculate the frequency and energy in eV for a 700 nm light wave in a vacuum.

How to use

Set 'Solve For' to Frequency, select the 'Light/Vacuum' medium preset, enter 7e-7 in the Wavelength field, and run the calculation.

Outcome

FAQ

What medium presets are available in the calculator?

The calculator includes presets for air (343 m/s), water (1493 m/s), steel (~5960 m/s), and light/vacuum (299,792,458 m/s).

How does the calculator determine photon energy?

For light waves, it calculates photon energy using the formula E = hf, where h is Planck's constant (6.626e-34 J·s).

Can I input custom wave speeds?

Yes, select the 'Custom' medium preset and manually enter your desired wave speed in meters per second.

What derived wave properties does this tool output?

It outputs the wave period (T), angular frequency (ω), wave number (k), and photon energy (E) where applicable.

What units should I use for inputs?

Use meters (m) for wavelength, Hertz (Hz) for frequency, and meters per second (m/s) for wave speed.

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