45 Hz Wavelength

How Long Is a 45 Hz Wavelength?

A 45 Hz sound wave has a wavelength of 7.63 meters, 762.7 cm, 25.02 feet (25 feet and 0.28 inches) or 300.28 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 = 45 Hz
which gives a wavelength λ of 7.63 meters, or 25.02 feet.

45 Hz Wavelength Depending on Temperature

The speed of sound in air depends on temperature. Here is how the wavelenght of a 45 Hz sound wave will vary according to temperature:

Temp (°C) Temp (°F) 45 Hz wavelength (m)45 Hz wavelength (ft)
-40-406.801822.3157
-35-316.874422.5537
-30-226.946222.7893
-25-137.017223.0224
-20-47.087623.2532
-1557.157223.4817
-10147.226223.7080
-5237.294523.9322
0327.362224.1543
5417.429324.3743
10507.495824.5924
15597.561724.8086
20687.627025.0229
25777.691825.2354
30867.756025.4462
35957.819725.6551
401047.882925.8624

45 Hz Half Wavelength and Standing Waves

The half wavelength of a 45 Hz sound wave is 3.81 meters, 381.35 cm, 12.51 feet (12 feet and 6.14 inches) or 150.14 inches when travelling in air at 20°C (68°F).

Modes (or standing waves) will occur at 45 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 45 Hz wavelength = 7.63 meters, or 25.02 feet in air at 20°C (68°F).

45 Hz Standing Waves Distances

n Distance (m) Distance (ft)
13.8112.51
27.6325.02
311.4437.53
415.2550.05
519.0762.56

Given the relatively large 45 Hz half wavelength, standing waves will occur at that frequency in small listening rooms.

You can try to minimze the room modes at 45 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 45 Hz To ms

A Hz (Hertz) is a cycle (or period) per second.

Because a 45 Hz wave will ocillate 45 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 = 45 Hz

The result will be expressed in seconds, so let's multiply by 1000 to get miliseconds:

1 / 45 Hz * 1000 = 22.22 ms.