Sound Wavelength Calculator — λ = v / f
Calculate the wavelength of any sound wave using λ = v / f, where v is the speed of sound in the chosen medium and f is the frequency. Supports air at any temperature, fresh water, sea water, steel, aluminium, glass, concrete, wood, or a custom speed.
Hz
Medium
°C
Distance between two consecutive crests at this frequency
- 1
Speed of sound in air
331.3 + 0.606 × 20 = 343.42 m/s - 2
Wavelength λ = v ÷ f
343.42 ÷ 440 = 0.7805
How does this calculator work?
Wavelength λ = v / f, where v is the speed of sound in the medium and f is the frequency. In air at 20 °C, v ≈ 343 m/s; the linear approximation v = 331.3 + 0.606 × T (°C) is accurate to < 0.1% for normal temperatures. Sound travels much faster in water (~1497 m/s) and steel (~5100 m/s).
Formula
How this is calculated
All travelling waves obey the relationship v = f × λ, linking propagation speed (v), frequency (f) and wavelength (λ). Rearranging gives λ = v / f. For sound in air, the speed depends strongly on temperature: v ≈ 331.3 + 0.606 × T m/s (at sea level, dry air), giving about 343 m/s at 20 °C and 349 m/s at 30 °C. In denser or stiffer media, sound travels faster — over 5000 m/s in steel versus 343 m/s in air at room temperature.
The period T = 1/f is the time for one complete cycle. The angular frequency ω = 2πf (radians per second) appears in wave equations and oscillator formulas. The wave number k = 2π/λ (radians per metre) describes spatial oscillation rate and appears in the wave equation as the factor applied to position.
The audible range for humans is roughly 20 Hz to 20 kHz, corresponding to wavelengths of about 17 m to 17 mm in air at 20 °C. Low-frequency bass sounds have long wavelengths (easy to diffract around objects); high-frequency treble sounds have short wavelengths (more directional, easily blocked). This has direct implications for room acoustics, speaker design and noise barriers.
Frequently asked questions
Yes. Speed in air increases by about 0.6 m/s per °C. Between 0 °C (331 m/s) and 40 °C (355 m/s) the change is about 7%, shifting the wavelength of a 1000 Hz tone from 33.1 cm to 35.5 cm — significant for precision acoustics and musical tuning.
Speed of sound depends on the ratio of elastic stiffness to density: v = √(B/ρ) for fluids or √(E/ρ) for solids. Solids are far stiffer than air, so despite being denser, the stiffness term dominates and sound propagates much faster.
At 20 °C in air (v ≈ 343 m/s) the wavelength of A440 (440 Hz) is 343 / 440 ≈ 0.780 m (78 cm). This is why a half-wave resonant tube for A440 is about 39 cm long — a useful reference for room acoustic and instrument design.
Also known as
TG we-Calculate Editorial Team. (2026). Sound Wavelength Calculator — λ = v / f [Online calculator]. TG we-Calculate. https://we-calculate.com/calculator/sound-wavelength-calculator
TG we-Calculate Editorial Team. "Sound Wavelength Calculator — λ = v / f." TG we-Calculate. 2026. https://we-calculate.com/calculator/sound-wavelength-calculator.
TG we-Calculate Editorial Team, "Sound Wavelength Calculator — λ = v / f," TG we-Calculate, 2026. [Online]. Available: https://we-calculate.com/calculator/sound-wavelength-calculator
@misc{wecalculate_sound_wavelength_calculator, title = {Sound Wavelength Calculator — λ = v / f}, author = {{TG we-Calculate Editorial Team}}, howpublished = {\url{https://we-calculate.com/calculator/sound-wavelength-calculator}}, year = {2026}, note = {TG we-Calculate} }
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