10,710 Hz Wavelength

How Long Is a 10710 Hz Wavelength?

A 10710 Hz sound wave has a wavelength of 0.03 meters, 3.2 cm, 0.11 feet (0 feet and 1.26 inches) or 1.26 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 = 10710 Hz
which gives a wavelength λ of 0.03 meters, or 0.11 feet.

10710 Hz Wavelength Depending on Temperature

The speed of sound in air depends on temperature. Here is how the wavelenght of a 10710 Hz sound wave will vary according to temperature:

Temp (°C) Temp (°F) 10710 Hz wavelength (cm)10710 Hz wavelength (in)
-40-402.85791.1252
-35-312.88841.1372
-30-222.91861.1490
-25-132.94841.1608
-20-42.97801.1724
-1553.00721.1840
-10143.03621.1954
-5233.06491.2067
0323.09341.2179
5413.12161.2290
10503.14951.2400
15593.17721.2509
20683.20461.2617
25773.23181.2724
30863.25881.2830
35953.28561.2935
401043.31211.3040

10710 Hz Half Wavelength and Standing Waves

The half wavelength of a 10710 Hz sound wave is 0.02 meters, 1.6 cm, 0.05 feet (0 feet and 0.63 inches) or 0.63 inches when travelling in air at 20°C (68°F).

Modes (or standing waves) will occur at 10710 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 10710 Hz wavelength = 0.03 meters, or 0.11 feet in air at 20°C (68°F).

10710 Hz Standing Waves Distances

n Distance (m) Distance (ft)
10.020.05
20.030.11
30.050.16
40.060.21
50.080.26

We typically don't treat rooms for standing waves above 300 Hz.

Given the relatively small 10710 Hz half wavelength, you can treat your room by using thick acoustic foam. This will absorb frequencies as low as 250 Hz, and all the way up to 20,000 Hz.

How To Convert 10710 Hz To ms

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

Because a 10710 Hz wave will ocillate 10710 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 = 10710 Hz

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

1 / 10710 Hz * 1000 = 0.09 ms.