How Long Is a 3 Hz Wavelength?
A 3 Hz sound wave has a wavelength of 114.4 meters, 11440.49 cm, 375.34 feet (375 feet and 4.13 inches) or 4504.13 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 = 3 Hz
λ of 114.4 meters, or 375.34 feet.
3 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 3 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 3 Hz wavelength (m) | 3 Hz wavelength (ft) |
|---|---|---|---|
| -40 | -40 | 102.0275 | 334.7359 |
| -35 | -31 | 103.1157 | 338.3062 |
| -30 | -22 | 104.1926 | 341.8391 |
| -25 | -13 | 105.2584 | 345.3359 |
| -20 | -4 | 106.3135 | 348.7977 |
| -15 | 5 | 107.3583 | 352.2254 |
| -10 | 14 | 108.3930 | 355.6201 |
| -5 | 23 | 109.4179 | 358.9827 |
| 0 | 32 | 110.4333 | 362.3141 |
| 5 | 41 | 111.4395 | 365.6151 |
| 10 | 50 | 112.4366 | 368.8866 |
| 15 | 59 | 113.4250 | 372.1294 |
| 20 | 68 | 114.4049 | 375.3441 |
| 25 | 77 | 115.3764 | 378.5315 |
| 30 | 86 | 116.3398 | 381.6923 |
| 35 | 95 | 117.2953 | 384.8272 |
| 40 | 104 | 118.2431 | 387.9367 |
3 Hz Half Wavelength and Standing Waves
The half wavelength of a 3 Hz sound wave is 57.2 meters, 5720.24 cm, 187.67 feet (187 feet and 8.06 inches) or 2252.06 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 3 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 3 Hz wavelength = 114.4 meters, or 375.34 feet in air at 20°C (68°F).
3 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 57.20 | 187.67 |
| 2 | 114.40 | 375.34 |
| 3 | 171.61 | 563.02 |
| 4 | 228.81 | 750.69 |
| 5 | 286.01 | 938.36 |
Given the relatively large 3 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 3 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 3 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 3 Hz wave will ocillate 3 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 = 3 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 3 Hz * 1000 = 333.33 ms.