Calculate the wavelength (λ) of a sound wave based on its frequency and the speed of sound in the medium.
Last updated: March 2026 | By ForgeCalc Engineering
Wavelength (λ) is the spatial period of a periodic wave—the distance over which the wave's shape repeats. For sound waves, it is the distance between two consecutive compressions (high-pressure regions) or rarefactions (low-pressure regions).
Wavelength is inversely proportional to frequency: high-frequency sounds (treble) have short wavelengths, while low-frequency sounds (bass) have long wavelengths. The wavelength also depends on the speed of sound, which varies with the medium and temperature.
Where:
• λ (lambda) is the wavelength (m)
• v is the speed of sound in the medium (m/s)
• f is the frequency of the sound (Hz)
At room temperature (343 m/s), a 20Hz sound wave (the lowest frequency humans can hear) is about 17.15 meters long! This is why bass waves can travel through walls and around corners so easily.
At the upper limit of human hearing (20,000 Hz), the wavelength is only about 1.7 centimeters. These short waves are easily blocked or reflected by small objects.
Sound travels faster in denser, less compressible materials. Water is much less compressible than air, so sound travels about 4.3 times faster in water than in air.
In air, the speed of sound increases with temperature (v ≈ 331.3 + 0.606T). At higher temperatures, the speed is higher, which means the wavelength for a given frequency also increases.
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