Method and interpretation

Mach Number

See how to enter values, calculate a result, and check the limits of its interpretation.

When is it useful?

Mach number compares speed with the speed of sound in the surrounding medium. It is useful in aircraft, nozzles, and other high-speed gas flows when judging whether compressibility matters.

Formula and inputs

Ma = v / c

Enter relative object or flow speed v and local sound speed c, both in m/s. The sound speed depends on the gas and its temperature, so 340 m/s is not a universal constant.

Open this calculator

Worked example

If v = 170 m/s and c = 340 m/s under the stated conditions, Ma = 170 ÷ 340 = 0.5. This means the speed is half the local sound speed; it is not a fixed absolute speed for all conditions.

Interpreting the result

Ma below 1 is broadly subsonic; near 1, transonic effects may need attention. The calculator gives convenient regime labels, while local flow around an object may differ from the free-stream Mach number.

Limits and cautions

A change in altitude, temperature, or medium may change c even if v remains the same. This ratio alone cannot predict shock position, pressure, drag, or safety.

Formula and concept reference: NASA Glenn — Role of the Mach Number. We created the sample inputs and calculations for this guide.