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Calculators/Physics/Mach number
Physics

Mach number calculator

Speed of an object relative to the local speed of sound in air.

What this calculator does

Mach number works out speed of an object relative to the local speed of sound in air. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaM = v/c; c = 331.3√(1 + T/273.15) m/s for air at temperature T

The inputs explained

FieldWhat to enter
Object speed (m/s)A number, measured in m/s. Starts at 300.
Air temperature (°C)A number, measured in °C. Starts at 20.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with object speed

Every other input is held at the calculator’s starting values while object speed varies. Select any row to load that scenario into the calculator.

How the answer changes with object speed
Object speed (m/s)Mach numberFlow regimeSpeed of sound at this temperature
1500.437Subsonic343.21 m/s
2250.656Subsonic343.21 m/s
3000.874Transonic343.21 m/s
4501.311Supersonic343.21 m/s
6001.748Supersonic343.21 m/s
9002.622Supersonic343.21 m/s