Sound Wavelength Calculator Formula

Understand the math behind the sound wavelength calculator. Each variable explained with a worked example.

Use the Sound Wavelength Calculator

Formulas Used

Speed of Sound

speed_of_sound = 331.3 + 0.606 * temperature

Wavelength

wavelength = (331.3 + 0.606 * temperature) / frequency

Variables

VariableDescriptionDefault
frequencyFrequency(Hz)440
temperatureAir Temperature(°C)20

How It Works

Sound Wavelength with Temperature

The speed of sound in air increases with temperature, which affects the wavelength.

Formulas

v_sound = 331.3 + 0.606 * T (in m/s, T in Celsius)

lambda = v_sound / f

Higher temperatures produce longer wavelengths at the same frequency.

Worked Example

Concert A (440 Hz) at 20 degrees Celsius.

frequency = 440temperature = 20
  1. 01v = 331.3 + 0.606 * 20 = 343.42 m/s
  2. 02lambda = 343.42 / 440
  3. 03lambda = 0.7805 m

Ready to run the numbers?

Open Sound Wavelength Calculator