Acoustics & Thermodynamics Labv = 331.3 · √(1 + t/273.15) [m/s] • λ = v / f

Speed of Sound in Air & Acoustic Wavelength Calculator

Calculate the physical velocity of sound in dry air across temperatures using NASA Glenn equations, and determine acoustic standing wavelengths.

NASA Glenn Thermodynamic Acoustic Velocity
343.21 m/s(1235.6 km/h • 767.7 mph)
T = 20°C (68.0°F)
Acoustic Wavelength (λ)
78.00 cm
Quarter-Wave (λ/4)
19.50 cm
Wave Period (T)
2.273 ms
Speed in ft/s
1126.0 ft/s
°C
Hz
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The Thermodynamics of Acoustic Velocity

Sound is a mechanical longitudinal compression wave propagating through physical collisions between gas molecules. Unlike electromagnetic radiation, sound requires a material medium and its velocity is governed by the thermodynamic temperature, adiabatic index, and molar mass of the gas.

NASA Glenn Formula (Dry Air)

[m/s]

Temperature-dependent acoustic velocity in standard atmospheric dry air:

v(t) = 331.3 · 1 + t / 273.15[m/s]
  • v = acoustic velocity (speed of sound) in meters per second [m/s]
  • t = air temperature in degrees Celsius [°C]
  • 331.3 m/s = speed of sound in dry air at 0°C (273.15 K)

Laplace Adiabatic Velocity

[m/s]

Derived from the ideal gas law with adiabatic compression index γ:

v = γ · R · T / M[m/s]
  • M = molar mass of air (M ≈ 0.028964 kg/mol = 28.964 g/mol)
  • γ = adiabatic index (γ = 1.40 for diatomic gases N₂ and O₂)
  • R = universal molar gas constant (8.31446 J/(mol·K))
  • T = absolute thermodynamic temperature in Kelvin [K] (T = t + 273.15)

Acoustic Velocity Units & Conversion Equivalents

m/s (SI Base): meters per second
km/h: 1 m/s = 3.600 km/h
mph: 1 m/s = 2.237 mph
ft/s: 1 m/s = 3.281 ft/s
Traian Anghel
Traian AnghelAuthor & Reviewer

Physics Teacher & Educational TechnologistBrăila, Romania

Last Reviewed: August 2026
Wave Lab calculators are constructed using rigorous peer-reviewed physics formulas from verified metrological repositories. Every equation, spectral conversion, and acoustic property is tested against NIST, CIE, and ISO datasets.
Verified Sources:NIST CODATACIE 1931 2° ObserverNASA Glenn Research

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