How Long Is a 1 Hz Wavelength?
A 1 Hz sound wave has a wavelength of 343.21 meters, 34321.46 cm, 1126.03 feet (1126 feet and 0.39 inches) or 13512.39 inches when traveling in air at 20°C (68°F).
The formula for the wavelenght is λ = c/f where:
cis the celerity (speed) of sound = 343.21 m/s or 1126.03 ft/s in air at 20°C (68°F).fis the frequency = 1 Hz
λ of 343.21 meters, or 1126.03 feet.
1 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 1 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 1 Hz wavelength (m) | 1 Hz wavelength (ft) |
|---|---|---|---|
| -40 | -40 | 306.0825 | 1004.2078 |
| -35 | -31 | 309.3472 | 1014.9185 |
| -30 | -22 | 312.5777 | 1025.5174 |
| -25 | -13 | 315.7752 | 1036.0078 |
| -20 | -4 | 318.9406 | 1046.3931 |
| -15 | 5 | 322.0749 | 1056.6763 |
| -10 | 14 | 325.1790 | 1066.8603 |
| -5 | 23 | 328.2538 | 1076.9481 |
| 0 | 32 | 331.3000 | 1086.9423 |
| 5 | 41 | 334.3185 | 1096.8454 |
| 10 | 50 | 337.3099 | 1106.6599 |
| 15 | 59 | 340.2751 | 1116.3881 |
| 20 | 68 | 343.2146 | 1126.0323 |
| 25 | 77 | 346.1292 | 1135.5945 |
| 30 | 86 | 349.0194 | 1145.0769 |
| 35 | 95 | 351.8859 | 1154.4815 |
| 40 | 104 | 354.7293 | 1163.8100 |
1 Hz Half Wavelength and Standing Waves
The half wavelength of a 1 Hz sound wave is 171.61 meters, 17160.73 cm, 563.02 feet (563 feet and 0.19 inches) or 6756.19 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 1 Hz in rooms where two opposing walls (axial mode), edges (tangential mode) or corners (oblique mode) are spaced by a distance d = nλ/2 where:
nis a natural (positive integer greater than or equal to 1)λis the 1 Hz wavelength = 343.21 meters, or 1126.03 feet in air at 20°C (68°F).
1 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 171.61 | 563.02 |
| 2 | 343.21 | 1126.03 |
| 3 | 514.82 | 1689.05 |
| 4 | 686.43 | 2252.06 |
| 5 | 858.04 | 2815.08 |
Given the relatively large 1 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 1 Hz by trying different speaker positions, listening positions or by placing bass traps. These can absorb frequencies as low as 63 Hz.
How To Convert 1 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 1 Hz wave will ocillate 1 times per second, we can find the time of a single cycle (or period) with the formula p = 1/f where:
fis the frequency of the wave = 1 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 1 Hz * 1000 = 1000 ms.