Mach Number & AltitudeMathematics

Aerodynamic Mach Number & Speed of Sound by Altitude Calculator

Calculate flight Mach number (M = TAS / a), speed of sound in km/h, knots, and m/s across international standard atmosphere (ISA) altitudes, and determine flight aerodynamic regimes.

Calculator Inputs

Live Real-Time
ft
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km/h
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Calculated ResultMach Number & Altitude

Flight Mach Number (M)

0.83Mach

Speed of Sound (km/h)

1,067.69 km/h

Speed of Sound in Knots (KTAS)

576.51 knots

Ambient Air Temperature (°C)

-54.34 °C

Transonic Jet Velocity: Aircraft operating within high-efficiency commercial jet cruise regime.

Mach Flight Profile

Final Mach
0.83 Mach(100%)

Detailed Calculation Breakdown

Ambient Temp (°C)
-54.34 °C
Sound Speed (km/h)
1,067.69 km/h
Final Mach
0.83 Mach

Calculation Methodology

Speed of sound: a = √(γ * R * T) = 20.05 * √T_Kelvin. Mach Number: M = TAS / a. At sea level (15°C), a = 1225 km/h; at 35,000 ft (-54.3°C), a = 1062 km/h.

Important Legal & Educational Disclaimer

This aerospace aerodynamics tool models International Standard Atmosphere (ISA) gas dynamics.

This calculator is designed for educational and informational purposes only based on public statutory frameworks. The outputs do not constitute binding financial, tax, or legal advice. We assume no liability for decisions made based on these estimations. Always verify with the relevant official authorities or a certified professional advisor.

Frequently Asked Questions

Because sound speed in an ideal gas depends solely on absolute thermodynamic temperature (T), which drops with altitude up to the tropopause.
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