How Long Is a 177 Hz Wavelength?
A 177 Hz sound wave has a wavelength of 1.94 meters, 193.91 cm, 6.36 feet (6 feet and 4.34 inches) or 76.34 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 = 177 Hz
λ of 1.94 meters, or 6.36 feet.
177 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 177 Hz sound wave will vary according to temperature:
| Temp (°C) | Temp (°F) | 177 Hz wavelength (m) | 177 Hz wavelength (ft) |
|---|---|---|---|
| -40 | -40 | 1.7293 | 5.6735 |
| -35 | -31 | 1.7477 | 5.7340 |
| -30 | -22 | 1.7660 | 5.7939 |
| -25 | -13 | 1.7840 | 5.8532 |
| -20 | -4 | 1.8019 | 5.9118 |
| -15 | 5 | 1.8196 | 5.9699 |
| -10 | 14 | 1.8372 | 6.0275 |
| -5 | 23 | 1.8545 | 6.0845 |
| 0 | 32 | 1.8718 | 6.1409 |
| 5 | 41 | 1.8888 | 6.1969 |
| 10 | 50 | 1.9057 | 6.2523 |
| 15 | 59 | 1.9225 | 6.3073 |
| 20 | 68 | 1.9391 | 6.3618 |
| 25 | 77 | 1.9555 | 6.4158 |
| 30 | 86 | 1.9719 | 6.4694 |
| 35 | 95 | 1.9881 | 6.5225 |
| 40 | 104 | 2.0041 | 6.5752 |
177 Hz Half Wavelength and Standing Waves
The half wavelength of a 177 Hz sound wave is 0.97 meters, 96.95 cm, 3.18 feet (3 feet and 2.17 inches) or 38.17 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 177 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 177 Hz wavelength = 1.94 meters, or 6.36 feet in air at 20°C (68°F).
177 Hz Standing Waves Distances
| n | Distance (m) | Distance (ft) |
|---|---|---|
| 1 | 0.97 | 3.18 |
| 2 | 1.94 | 6.36 |
| 3 | 2.91 | 9.54 |
| 4 | 3.88 | 12.72 |
| 5 | 4.85 | 15.90 |
| 6 | 5.82 | 19.09 |
| 7 | 6.79 | 22.27 |
| 8 | 7.76 | 25.45 |
| 9 | 8.73 | 28.63 |
| 10 | 9.70 | 31.81 |
| 11 | 10.66 | 34.99 |
| 12 | 11.63 | 38.17 |
| 13 | 12.60 | 41.35 |
| 14 | 13.57 | 44.53 |
| 15 | 14.54 | 47.71 |
| 16 | 15.51 | 50.89 |
Given the relatively large 177 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 177 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 177 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 177 Hz wave will ocillate 177 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 = 177 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 177 Hz * 1000 = 5.65 ms.