Calculate the wavelength of a sound wave by entering the frequency and selecting the medium (or entering a custom speed of sound). You get back the wavelength in meters, centimeters, and feet, plus the confirmed speed of sound for your chosen medium — great for acoustics, audio engineering, and physics studies.
Wavelength
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Wavelength (cm)
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Wavelength (feet)
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Wavelength (inches)
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Frequency
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Speed of Sound Used
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The sound wavelength formula is λ = v / f, where λ is the wavelength (in meters), v is the speed of sound in the medium (in m/s), and f is the frequency (in Hz). For example, a 1000 Hz sound in air (343 m/s) has a wavelength of 0.343 m.
Rearranging the wavelength formula gives v = f × λ. Multiply the frequency in Hz by the wavelength in meters to get the speed of sound in m/s. This is useful when you know both the frequency and wavelength of a sound wave but need to determine the medium's sound speed.
Wavelength and pitch are inversely related through frequency. Higher-pitched sounds have higher frequencies and therefore shorter wavelengths. Lower-pitched sounds have lower frequencies and longer wavelengths. The relationship is governed by λ = v / f, where v remains roughly constant for a given medium.
In air at 20 °C (speed ≈ 343 m/s), a 50 Hz sound wave has a wavelength of λ = 343 / 50 = 6.86 meters. Low-frequency bass sounds like this have very long wavelengths, which is why they are hard to block and can travel around obstacles.
When frequency increases, wavelength decreases proportionally (since wavelength = speed / frequency and speed stays constant in the same medium). Doubling the frequency halves the wavelength. This is why high-pitched sounds (e.g. 20,000 Hz) have very short wavelengths (about 1.7 cm in air), while low-pitched sounds (e.g. 20 Hz) have much longer ones (about 17 m).
Yes — sound travels about 4.3 times faster in water (~1482 m/s at 20 °C) than in air (~343 m/s at 20 °C). This means a given frequency will have a proportionally longer wavelength in water. Denser and more elastic materials generally support faster sound propagation.
Human hearing spans roughly 20 Hz to 20,000 Hz. In air at 20 °C, this corresponds to wavelengths ranging from about 17 meters (at 20 Hz) down to about 1.7 centimeters (at 20,000 Hz) — a 1000:1 ratio in physical size. This enormous range has significant implications for speaker and room acoustic design.
The speed of sound depends on the elasticity and density of the medium. In stiffer or lighter materials, sound travels faster because molecules transfer energy more efficiently. For instance, sound moves much faster in steel (~5100 m/s) than in air (~343 m/s), and faster in helium than in air because helium molecules are lighter and respond to pressure changes more quickly.