Calculate sound frequency from wavelength and air temperature, or wavelength from frequency using the speed of sound in air and unit conversions.
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Frequency From Temperature Formula
This calculator estimates sound frequency from wavelength and air temperature, or wavelength from sound frequency. It uses the approximate dry-air relation c = 331โ(T/273.15) m/s. Temperature alone does not determine frequency. For a fixed source in stationary air, temperature changes speed and wavelength, not the source frequency. Humidity, wind, extreme temperatures and real-gas effects are outside this model.
Looking for thermal radiation instead of sound? Use the Wienโs law temperature and peak-wavelength calculator. It finds the blackbody peak wavelength from temperature; the sound-wave model on this page does not describe emitted light.
Variables:
- f is sound frequency (Hz)
- T is the temperature (K)
- w is the wavelength (m)
Convert temperature to kelvin, divide by 273.15, take the square root and multiply by 331 m/s to estimate sound speed; then divide by wavelength in meters. To find wavelength instead, divide sound speed by frequency in Hz. Enter the actual air temperature; an empty field does not silently assume 20ยฐC.
| Temperature (ยฐC) | Frequency (Hz) |
|---|---|
| -20 | 318.7 |
| -10 | 324.9 |
| 0 | 331.0 |
| 5 | 334.0 |
| 10 | 337.0 |
| 15 | 340.0 |
| 20 | 342.9 |
| 22 | 344.1 |
| 25 | 345.8 |
| 30 | 348.7 |
| 35 | 351.6 |
| 37 | 352.7 |
| 40 | 354.4 |
| 50 | 360.0 |
| 60 | 365.6 |
| 70 | 371.0 |
| 80 | 376.4 |
| 90 | 381.7 |
| 100 | 386.9 |
| 120 | 397.1 |
| *Assumes plane wave at fixed wavelength ฮป = 1.00 m. Speed of sound c = 331 ร โ(T/273.15) m/s with T in kelvin; Frequency f = c / ฮป. | |
How to Calculate Frequency From Temperature?
The following steps outline how to calculate the Frequency From Temperature.
- First, determine the temperature (K).
- Next, determine the wavelength (m).
- Next, gather the formula from above: f = (331 * SQRT ( T/273.15)) / w.
- Finally, calculate the Frequency From Temperature.
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem :
Use the following variables as an example problem to test your knowledge.
temperature (K) = 303
wavelength (m) = 17
f = 331โ(303/273.15) / 17 โ 20.5069 Hz.
