How Long Is a 316 Hz Wavelength?
A 316 Hz sound wave has a wavelength of 1.09 meters, 108.61 cm, 3.56 feet (3 feet and 6.76 inches) or 42.76 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 = 316 Hz
λ of 1.09 meters, or 3.56 feet.
316 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 316 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 316 Hz wavelength (cm) | 316 Hz wavelength (in) |
|---|---|---|---|
| -40 | -40 | 96.8616 | 38.1345 |
| -35 | -31 | 97.8947 | 38.5412 |
| -30 | -22 | 98.9170 | 38.9437 |
| -25 | -13 | 99.9289 | 39.3421 |
| -20 | -4 | 100.9306 | 39.7364 |
| -15 | 5 | 101.9224 | 40.1269 |
| -10 | 14 | 102.9048 | 40.5137 |
| -5 | 23 | 103.8778 | 40.8968 |
| 0 | 32 | 104.8418 | 41.2763 |
| 5 | 41 | 105.7970 | 41.6524 |
| 10 | 50 | 106.7436 | 42.0251 |
| 15 | 59 | 107.6820 | 42.3945 |
| 20 | 68 | 108.6122 | 42.7607 |
| 25 | 77 | 109.5346 | 43.1238 |
| 30 | 86 | 110.4492 | 43.4839 |
| 35 | 95 | 111.3563 | 43.8411 |
| 40 | 104 | 112.2561 | 44.1953 |
316 Hz Half Wavelength and Standing Waves
The half wavelength of a 316 Hz sound wave is 0.54 meters, 54.31 cm, 1.78 feet (1 feet and 9.38 inches) or 21.38 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 316 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 316 Hz wavelength = 1.09 meters, or 3.56 feet in air at 20°C (68°F).
316 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 0.54 | 1.78 |
| 2 | 1.09 | 3.56 |
| 3 | 1.63 | 5.35 |
| 4 | 2.17 | 7.13 |
| 5 | 2.72 | 8.91 |
| 6 | 3.26 | 10.69 |
| 7 | 3.80 | 12.47 |
| 8 | 4.34 | 14.25 |
| 9 | 4.89 | 16.04 |
| 10 | 5.43 | 17.82 |
| 11 | 5.97 | 19.60 |
| 12 | 6.52 | 21.38 |
| 13 | 7.06 | 23.16 |
| 14 | 7.60 | 24.94 |
| 15 | 8.15 | 26.73 |
| 16 | 8.69 | 28.51 |
| 17 | 9.23 | 30.29 |
| 18 | 9.78 | 32.07 |
| 19 | 10.32 | 33.85 |
| 20 | 10.86 | 35.63 |
| 21 | 11.40 | 37.42 |
| 22 | 11.95 | 39.20 |
| 23 | 12.49 | 40.98 |
| 24 | 13.03 | 42.76 |
| 25 | 13.58 | 44.54 |
| 26 | 14.12 | 46.32 |
| 27 | 14.66 | 48.11 |
| 28 | 15.21 | 49.89 |
We typically don't treat rooms for standing waves above 300 Hz.
Given the relatively small 316 Hz half wavelength, you can treat your room by using thick acoustic foam. This will absorb frequencies as low as 250 Hz, and all the way up to 20,000 Hz.
How To Convert 316 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 316 Hz wave will ocillate 316 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 = 316 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 316 Hz * 1000 = 3.16 ms.