Speed of Sound in Air

v=331.3+0.606 TCv = 331.3 + 0.606\, T_C

Worked example: 20 C air → v = 343.42 m/s — press Try an example to run it live, then adjust anything.

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Speed of Sound in Air explained

vT

Sound travels by molecular collisions, and warmer molecules move faster, passing the disturbance along more quickly. In dry air the speed starts at 331.3 m/s at 0 °C and gains about 0.606 m/s per degree: 343 m/s in a 20 °C classroom, 349 m/s on a 30 °C summer day, but only 325 m/s in −10 °C winter air. The linear formula is an excellent approximation of the true √T dependence across everyday temperatures.

You use this physics every thunderstorm: light arrives essentially instantly, so counting seconds between flash and rumble and dividing by three gives the storm's distance in kilometres (sound covers about 1 km every 2.9 s at 20 °C). The temperature dependence has audible consequences too — sound bends toward where it travels slower, so on a cold, still morning with warm air above a chilled ground layer, wavefronts curve back down toward the earth and a distant train sounds uncannily close. Orchestras feel it as well: a flute's pitch rides on v, drifting sharp as the concert hall warms through the evening.

Speed of Sound in Air formula

v=331.3+0.606 TCv = 331.3 + 0.606\, T_C
Where
  • vv= Speed of sound (m/s)
  • TT= Air temperature (°C)

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