# Mach Number

## Mach Number

Mach number ( \(Ma\) or \(M\) ) (dimensionless number) is the ratio of the velocity of flow to the velocity of sound.

### Mach Number formula

\(\large{ Ma = \frac{v}{v_s} }\)

Where:

\(\large{ Ma }\) or \(\large{ M }\) = Mach number

\(\large{ v }\) = velocity, object speed

\(\large{ v_s }\) = speed of sound

Solve for:

\(\large{ v = Ma }\)

\(\large{ v_s = \frac{v}{Ma} }\)

### note about the speed of sound

The speed of sound in this equation is dependent on the density of the medium that the sound is traveling through. For example, the speed of sound through a solid object like a railroad track is much faster than the speed of sound through air at standard conditions.

## Conversion table

Mach Number Conversion Table | ||
---|---|---|

Multiply | By | To Get |

9.646x10^{7} |
feet per day | |

4.0192x10^{5} |
feet per hour | |

66,986 | feet per minute, fpm | |

1,116 | feet per second, fps | |

1,225 | kilometers per hour | |

2.94x10^{7} |
meters per day | |

1.225x10^{6} |
meters per hour | |

20,417 | meters per minute | |

340.29 | meters per second | |

761 | miles per hour, mph |

Tags: Equations for Velocity