AllMyCalculators

Mach Number Calculator

Compares a speed with the local speed of sound.

Falls with altitude. Around −50 °C is typical at airliner cruising height.

Mach number
— Ma

Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

Speed of sound used —
Regime —

The formula

Ma = v ÷ a a = √(γ R T ÷ M)

For dry air, γ = 1.4 and M = 28.96 g/mol. In an ideal gas, the speed of sound depends on temperature and not on pressure. Use true airspeed, not indicated airspeed.

What to watch out for

The same speed is a higher Mach number at altitude, as the air is colder there.

Frequently Asked Questions

What Mach number is 900 km/h at −50 °C?

About 0.83.

How fast is Mach 1?

About 1,225 km/h at 15 °C, and 1,078 km/h at −50 °C.