Número de Mach

Ma = v/v_som.
Created by
Renato Passos, Eng. de Software
Reviewed by
Renato Passos, Eng. de Software

Last updated: Apr 18, 2026

Ma
2,000

Formula

Ma = v/v_som

About this calculator

The Mach Number calculator determines the ratio of an object's speed to the speed of sound in the surrounding medium. The Mach number is a dimensionless quantity, denoted as Ma, and is calculated by dividing the object's velocity (v) by the speed of sound (v_som). This tool is essential for engineers, physicists, and aviation enthusiasts who need to classify flight regimes: subsonic (Ma < 0.8), transonic (0.8 to 1.2), supersonic (1.2 to 5.0), or hypersonic (above 5.0).

The operation is simple: enter the object's speed and the speed of sound in the medium (usually air, which at 20°C and sea level is about 343 m/s). The calculator then applies the formula Ma = v / v_som and displays the result. It is important to remember that the speed of sound varies with temperature and altitude. At lower temperatures, sound travels slower, changing the Mach number for the same object speed.

Use this calculator in situations such as aircraft performance analysis, rocket design, shock wave studies, or fluid dynamics simulations. For example, to check if a commercial jet flying at 900 km/h is in subsonic or transonic regime. It is also useful for comparing speeds of different objects under varying atmospheric conditions, such as in wind tunnels or at high altitudes.

Cautions: ensure that velocity units are consistent (both in m/s, km/h, etc.). The speed of sound depends on the medium and temperature; using the default value of 343 m/s is only valid for dry air at 20°C at sea level. At high altitudes or extreme temperatures, the Mach number may be misleading. Additionally, the Mach number is not suitable for liquid or solid media, where the speed of sound is much higher.

Frequently asked questions

What does a Mach number greater than 1 mean?

It means the object is moving faster than sound in the medium, i.e., supersonic regime. This typically causes shock waves and increased drag.

Is the speed of sound always 343 m/s?

No. It varies with temperature and altitude. In air at 0°C it is about 331 m/s; at 20°C, 343 m/s; and at high altitudes it decreases due to lower temperature.

Can I use this calculator for objects in water?

Yes, as long as you input the speed of sound in water (about 1482 m/s). However, Mach number is more common in aerodynamics than hydrodynamics.

What is the difference between Mach and actual speed?

Mach number is a dimensionless ratio, while actual speed is a measurement with units. Mach indicates flow regime, but not absolute speed.

How do I convert km/h to m/s for the calculator?

Divide the value in km/h by 3.6. For example, 900 km/h divided by 3.6 equals 250 m/s.

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