How Long Is a 6 Hz Wavelength?
A 6 Hz sound wave has a wavelength of 57.2 meters, 5720.24 cm, 187.67 feet (187 feet and 8.06 inches) or 2252.06 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 = 6 Hz
λ of 57.2 meters, or 187.67 feet.
6 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 6 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 6 Hz wavelength (m) | 6 Hz wavelength (ft) |
|---|---|---|---|
| -40 | -40 | 51.0138 | 167.3680 |
| -35 | -31 | 51.5579 | 169.1531 |
| -30 | -22 | 52.0963 | 170.9196 |
| -25 | -13 | 52.6292 | 172.6680 |
| -20 | -4 | 53.1568 | 174.3988 |
| -15 | 5 | 53.6792 | 176.1127 |
| -10 | 14 | 54.1965 | 177.8101 |
| -5 | 23 | 54.7090 | 179.4914 |
| 0 | 32 | 55.2167 | 181.1570 |
| 5 | 41 | 55.7197 | 182.8076 |
| 10 | 50 | 56.2183 | 184.4433 |
| 15 | 59 | 56.7125 | 186.0647 |
| 20 | 68 | 57.2024 | 187.6720 |
| 25 | 77 | 57.6882 | 189.2658 |
| 30 | 86 | 58.1699 | 190.8462 |
| 35 | 95 | 58.6477 | 192.4136 |
| 40 | 104 | 59.1215 | 193.9683 |
6 Hz Half Wavelength and Standing Waves
The half wavelength of a 6 Hz sound wave is 28.6 meters, 2860.12 cm, 93.84 feet (93 feet and 10.03 inches) or 1126.03 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 6 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 6 Hz wavelength = 57.2 meters, or 187.67 feet in air at 20°C (68°F).
6 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 28.60 | 93.84 |
| 2 | 57.20 | 187.67 |
| 3 | 85.80 | 281.51 |
| 4 | 114.40 | 375.34 |
| 5 | 143.01 | 469.18 |
Given the relatively large 6 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 6 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 6 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 6 Hz wave will ocillate 6 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 = 6 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 6 Hz * 1000 = 166.67 ms.