How Long Is a 293 Hz Wavelength?
A 293 Hz sound wave has a wavelength of 1.17 meters, 117.14 cm, 3.84 feet (3 feet and 10.12 inches) or 46.12 inches when traveling in air at 20°C (68°F).
The formula for the wavelenght is λ = c/f
where:
c
is the celerity (speed) of sound = 343.21 m/s or 1126.03 ft/s in air at 20°C (68°F).f
is the frequency = 293 Hz
λ
of 1.17 meters, or 3.84 feet.
293 Hz Wavelength Depending on Temperature
The speed of sound in air depends on temperature. Here is how the wavelenght of a 293 Hz sound wave will vary according to temperature:
Temp (°C) | Temp (°F) | 293 Hz wavelength (m) | 293 Hz wavelength (ft) |
---|---|---|---|
-40 | -40 | 1.0447 | 3.4273 |
-35 | -31 | 1.0558 | 3.4639 |
-30 | -22 | 1.0668 | 3.5001 |
-25 | -13 | 1.0777 | 3.5359 |
-20 | -4 | 1.0885 | 3.5713 |
-15 | 5 | 1.0992 | 3.6064 |
-10 | 14 | 1.1098 | 3.6412 |
-5 | 23 | 1.1203 | 3.6756 |
0 | 32 | 1.1307 | 3.7097 |
5 | 41 | 1.1410 | 3.7435 |
10 | 50 | 1.1512 | 3.7770 |
15 | 59 | 1.1613 | 3.8102 |
20 | 68 | 1.1714 | 3.8431 |
25 | 77 | 1.1813 | 3.8757 |
30 | 86 | 1.1912 | 3.9081 |
35 | 95 | 1.2010 | 3.9402 |
40 | 104 | 1.2107 | 3.9720 |
293 Hz Half Wavelength and Standing Waves
The half wavelength of a 293 Hz sound wave is 0.59 meters, 58.57 cm, 1.92 feet (1 feet and 11.06 inches) or 23.06 inches when travelling in air at 20°C (68°F).
Modes (or standing waves) will occur at 293 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:
n
is a natural (positive integer greater than or equal to 1)λ
is the 293 Hz wavelength = 1.17 meters, or 3.84 feet in air at 20°C (68°F).
293 Hz Standing Waves Distances
n | Distance (m) | Distance (ft) |
---|---|---|
1 | 0.59 | 1.92 |
2 | 1.17 | 3.84 |
3 | 1.76 | 5.76 |
4 | 2.34 | 7.69 |
5 | 2.93 | 9.61 |
6 | 3.51 | 11.53 |
7 | 4.10 | 13.45 |
8 | 4.69 | 15.37 |
9 | 5.27 | 17.29 |
10 | 5.86 | 19.22 |
11 | 6.44 | 21.14 |
12 | 7.03 | 23.06 |
13 | 7.61 | 24.98 |
14 | 8.20 | 26.90 |
15 | 8.79 | 28.82 |
16 | 9.37 | 30.74 |
17 | 9.96 | 32.67 |
18 | 10.54 | 34.59 |
19 | 11.13 | 36.51 |
20 | 11.71 | 38.43 |
21 | 12.30 | 40.35 |
22 | 12.89 | 42.27 |
23 | 13.47 | 44.20 |
24 | 14.06 | 46.12 |
25 | 14.64 | 48.04 |
26 | 15.23 | 49.96 |
Given the relatively large 293 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.
You can try to minimze the room modes at 293 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 293 Hz To ms
A Hz (Hertz) is a cycle (or period) per second.
Because a 293 Hz wave will ocillate 293 times per second, we can find the time of a single cycle (or period) with the formula p = 1/f
where:
f
is the frequency of the wave = 293 Hz
The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:
1 / 293 Hz * 1000
= 3.41 ms.