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Frequency to Wavelength Converter

Calculate wavelength from frequency using λ = v / f. Pick from 19 media (air at multiple temperatures, water, steel, helium, glass, EM in vacuum / water / fibre), output in metres, cm, inches, feet. Includes quarter-wave and half-wave for antenna and standing-wave work.

Input

Wave speed in medium: 343 m/s (Air 20°C)
Common Frequency + Medium Pairs

Result

Wavelength (λ = v / f)
Metres (m)
Centimetres (cm)
Inches (in)
Feet (ft)
Quarter-wave (λ/4)
Half-wave (λ/2)
Formula
λ = v / f   (wavelength = wave speed ÷ frequency)
For sound in air: v = 331.4 + 0.6 × T(°C)
For EM waves: v = c / n   (c = 299,792,458 m/s)

Wave Speed in Common Media

MediumSpeed (m/s)Notes
Rubber (soft)~60Highly variable; depends on durometer
Air at 0°C331.4Standard reference temperature
Air at 20°C343Room temperature, dry air
Air at 40°C355.4Hot summer day
Helium gas (20°C)1,007Why helium voice is high-pitched
Water (fresh, 20°C)1,481Pure water at room temperature
Seawater (20°C)~1,500~3.5% salinity baseline
Lead1,960Dense but slow due to low Young's modulus
Concrete3,700Varies with mix; ~3,200–4,100 m/s typical
Wood (oak, along grain)~4,000Across grain ~1,400 m/s
Glass5,640Longitudinal in standard borosilicate
Steel (longitudinal)5,960One of the fastest common materials
Aluminum6,320Light + stiff = fast sound
EM in vacuum / air299,792,458Speed of light (c)
EM in water (n = 1.33)225,407,862c / 1.33
EM in glass (n = 1.5)199,861,639c / 1.5
EM in optical fibre (n ≈ 1.47)203,939,086c / 1.47, typical SMF

About Wavelength & Wave Speed

Wavelength (λ) is the distance over which a wave's shape repeats: from one peak to the next, or from one zero-crossing to the next of the same sign. It's calculated as λ = v / f, where v is the wave's speed in the medium and f is its frequency. Two waves with the same frequency can have very different wavelengths if their wave speeds differ.

Sound in different media

Sound travels faster in denser, stiffer materials. Air (343 m/s at 20°C) is slow; water is over 4× faster (1,481 m/s); steel is 17× faster (5,960 m/s). A 1 kHz tone has a wavelength of 34.3 cm in air, 1.48 m in water, and 5.96 m in steel. This is why submarines use low frequencies for sonar (longer wavelengths = better penetration), and why ultrasonic sensors for thickness gauging use high frequencies in metals (millimetre-scale wavelengths = millimetre-scale resolution).

Air temperature effects sound speed

Sound in air gets faster as temperature rises. A practical linear approximation is v = 331.4 + 0.6 × T(°C) — at 0°C, sound moves at 331.4 m/s; at 30°C it's about 349.4 m/s. A more accurate physical formula uses absolute temperature: v = 331.3 × √(1 + T/273.15). The two agree within ~1 m/s across the 0–40°C range.

EM waves use a different constant

Radio, microwave, infrared, light, and UV are all electromagnetic waves with speed v = c/n, where c = 299,792,458 m/s and n is the refractive index of the medium (1 in vacuum, ~1.33 in water, ~1.5 in glass). This is over a million times faster than sound, so EM wavelengths are correspondingly much smaller at the same frequency. A 1 kHz EM wave is 300 km long (sub-audio band); a 100 MHz FM signal is 3 m; a 2.4 GHz WiFi signal is 12.5 cm.

Frequently Asked Questions

How do I convert frequency to wavelength?
Divide the wave's speed in the medium by the frequency: λ = v / f. For sound in air at 20°C: λ (m) = 343 / f (Hz). For EM in vacuum: λ (m) = 299,792,458 / f (Hz). Example: a 440 Hz musical note in air has λ = 343/440 = 0.78 m. A 100 MHz FM radio signal has λ = 299,792,458 / 100,000,000 = 3 m.
What's the wavelength of audible sound?
In air at 20°C: 20 Hz (sub-bass) = 17.15 m, 100 Hz (bass) = 3.43 m, 1 kHz (mid) = 34.3 cm, 10 kHz (upper) = 3.43 cm, 20 kHz (limit) = 1.72 cm. Sound wavelengths shorten by exactly 10× for each 10× frequency increase.
Why is my voice high-pitched after inhaling helium?
Sound travels ~2.9× faster in helium (1,007 m/s) than in air (343 m/s). Your vocal tract is unchanged, but the resonant frequencies of the cavities scale with wave speed — they shift roughly 3× higher. Your fundamental pitch is set by your vocal folds (which don't change), but the FORMANT frequencies shift, making your voice sound thin and high.
What's the wavelength of WiFi?
WiFi at 2.4 GHz has λ = 299,792,458 / 2,400,000,000 ≈ 12.5 cm. WiFi at 5 GHz: λ ≈ 6 cm. WiFi 6E at 6 GHz: λ ≈ 5 cm. These short wavelengths explain WiFi antenna design — quarter-wave whip antennas at 2.4 GHz are about 3 cm, easily fitting inside laptops.
How does temperature affect sound speed?
Sound in air increases by about 0.6 m/s for each 1°C rise. So a 440 Hz note has wavelength 78 cm at 0°C, 78 cm at 20°C... actually only a tiny difference because the speed change is small. But for ultrasonic distance sensors and acoustic surveying, the ~5% speed change across 0–40°C matters for accuracy.
What's a quarter-wave used for?
Quarter-wavelength (λ/4) is the resonant length for closed-end air columns (e.g., bottles, ear canals) and the optimal length for basic monopole antennas. A 1 kHz tone resonates in a closed tube ~8.6 cm long (λ/4 of 34.3 cm). A 100 MHz FM antenna ~75 cm long. Half-wavelength (λ/2) is the resonance length for both-end-open tubes (flutes) and dipole antennas.