Mach Number Calculation Formula

The Mach number (M) is calculated using the formula:

M = v / c

where:

  • M is the Mach number,
  • v is the velocity of the object,
  • c is the speed of sound in the medium.

Key Points

  • Subsonic (M < 1): Object moves slower than the speed of sound.
  • Sonic (M = 1): Object’s speed equals the speed of sound.
  • Supersonic (M > 1): Object exceeds the speed of sound.
  • Hypersonic (M >> 1): Object travels at extremely high speeds.

How to calculate the Mach Number?

Mach number is calculated by finding the ratio of speed of an object to the speed of sound in the surrounding medium. Mach number is unitless (dimensionless quantity). The formula for calculating Mach number is M = v/c , where M is Mach number, v is the velocity of object (in meters per second, feet per second, etc.) and c is speed of light (in meters per second, feet per second, etc.).

Table of Content

  • What is Mach number ?
  • Mach Number Calculation Formula
  • Classification of Mach Numbers
  • Sample Questions

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What is Mach number ?

Mach number is a fundamental concept in aerodynamics that compares the speed of an object to the speed of sound in the surrounding medium. It is a dimensionless quantity denoted by ‘M’ and calculated as the ratio of the object’s velocity to the speed of sound. The Mach number classification includes subsonic (M < 1), sonic (M = 1), supersonic (M > 1), and hypersonic (M >> 1) speeds....

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Mach numbers provide a key framework for understanding the velocity of objects relative to the speed of sound. This classification system, spanning from subsonic to trans hypersonic, guides the design and exploration of vehicles across various industries, from aviation to space travel. As technology evolves, Mach numbers will remain a cornerstone for pushing the boundaries of speed and advancing aerospace engineering....

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