How Long Is a 5 Hz Wavelength?
A 5 Hz sound wave has a wavelength of 68.64 meters, 6864.29 cm, 225.21 feet (225 feet and 2.48 inches) or 2702.48 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 = 5 Hz
λ of 68.64 meters, or 225.21 feet.
5 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 5 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 5 Hz wavelength (m) | 5 Hz wavelength (ft) |
|---|---|---|---|
| -40 | -40 | 61.2165 | 200.8416 |
| -35 | -31 | 61.8694 | 202.9837 |
| -30 | -22 | 62.5155 | 205.1035 |
| -25 | -13 | 63.1550 | 207.2016 |
| -20 | -4 | 63.7881 | 209.2786 |
| -15 | 5 | 64.4150 | 211.3353 |
| -10 | 14 | 65.0358 | 213.3721 |
| -5 | 23 | 65.6508 | 215.3896 |
| 0 | 32 | 66.2600 | 217.3885 |
| 5 | 41 | 66.8637 | 219.3691 |
| 10 | 50 | 67.4620 | 221.3320 |
| 15 | 59 | 68.0550 | 223.2776 |
| 20 | 68 | 68.6429 | 225.2065 |
| 25 | 77 | 69.2258 | 227.1189 |
| 30 | 86 | 69.8039 | 229.0154 |
| 35 | 95 | 70.3772 | 230.8963 |
| 40 | 104 | 70.9459 | 232.7620 |
5 Hz Half Wavelength and Standing Waves
The half wavelength of a 5 Hz sound wave is 34.32 meters, 3432.15 cm, 112.6 feet (112 feet and 7.24 inches) or 1351.24 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 5 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 5 Hz wavelength = 68.64 meters, or 225.21 feet in air at 20°C (68°F).
5 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 34.32 | 112.60 |
| 2 | 68.64 | 225.21 |
| 3 | 102.96 | 337.81 |
| 4 | 137.29 | 450.41 |
| 5 | 171.61 | 563.02 |
Given the relatively large 5 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 5 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 5 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 5 Hz wave will ocillate 5 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 = 5 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 5 Hz * 1000 = 200 ms.