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Sound Frequency to Wavelength (λ = c/f) Converter

Convert sound frequency (Hz) into acoustic wavelength in feet and meters, calculate speed of sound by air temperature, and determine quarter-wave bass trap depths.

Calculated Results

Acoustic Wavelength (λ)
2.56 Feet (30.8 Inches)
0.781 Meters (78.1 cm) in air
Speed of Sound in Air (c)
1,126 ft/s (768 MPH)
343.3 m/s at 68°F (20°C)
Quarter-Wave Trap Depth
7.7 Inches (λ / 4)
Acoustic absorber depth
Wave Period (T = 1/f)
2.27 milliseconds
Time per single oscillation
Hearing Spectrum Band
Midrange (Speech & Melody)
250 Hz - 2,000 Hz band
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Frequently Asked Questions

What is the formula relating sound frequency and wavelength?

The universal wave formula is: c = f × λ, where c is the speed of sound, f is frequency in Hertz (cycles per second), and λ (lambda) is wavelength. Therefore: Wavelength (λ) = c / f.

How does air temperature affect the speed of sound?

Sound travels faster in warmer air because molecules move faster and transmit kinetic energy more rapidly: Speed of Sound (m/s) ≈ 331.3 + (0.606 × Temperature_Celsius). At 68°F (20°C), sound travels at 1,126 ft/s (343.3 m/s).

What is the quarter-wavelength rule in acoustic room treatment?

Porous acoustic absorbers (fiberglass, rockwool bass traps) absorb sound most effectively when placed where particle velocity is highest: exactly one-quarter wavelength (λ/4) from a boundary wall.

Why can elephants communicate over miles using infrasound?

Low frequency sounds (< 20 Hz, infrasound) have massive physical wavelengths (over 55 feet long). These long waves bend easily around hills, trees, and obstacles with minimal atmospheric absorption, traveling for miles.