# Meters Per Second to Mach Number Conversion

Enter the speed in meters per second below to get the value converted to Mach number.

**Results in Mach Number:**

## How to Convert Meters Per Second to Mach Number

To convert a meter per second measurement to a Mach measurement, multiply the speed by the conversion ratio. One meter per second is equal to Mach 0.002915, so use this simple formula to convert:

The Mach number is equal to the speed in meters per second multiplied by 0.002915.

**For example,**here's how to convert 5 meters per second to Mach number using the formula above.

Meters per second and Mach number are both units used to measure speed. Keep reading to learn more about each unit of measure.

## Meters Per Second

Meters per second are a measurement of speed expressing the distance traveled in meters in one second.

The meter per second, or metre per second, is the SI derived unit for speed in the metric system. Meters per second can be abbreviated as *m/s*, and are also sometimes abbreviated as *m/sec*. For example, 1 meter per second can be written as 1 m/s or 1 m/sec.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.^{[1]}

Meters per second can be expressed using the formula:

v_{m/s} = d_{m}t_{sec}

The velocity in meters per second is equal to the distance in meters divided by time in seconds.

## Mach Number

Mach, sometimes also referred to as a Mach number, is the ratio of the speed of an object to the speed of sound.^{[2]}

Mach can be abbreviated as M, and is also sometimes abbreviated as Ma. For example, Mach 1 can be written as 1 M or 1 Ma.

Although Mach can be abbreviated *M* or *Ma*, the Mach number is typically expressed with the number after the unit name.
For example, the expression *Mach 3* is preferred rather than *3 Machs* or *3 M*.

The speed is classified as either subsonic, transonic, supersonic, or hypersonic depending on the Mach number.

Speed Classification | Mach Number |
---|---|

Subsonic | Mach < 1.0 |

Transonic | Mach = 1.0 |

Supersonic | Mach > 1.0 |

Hypersonic | Mach > 5.0 |

## Meter Per Second to Mach Conversion Table

Meters Per Second | Mach Number |
---|---|

85.75 m/s | Mach 0.25 |

171.5 m/s | Mach 0.5 |

257.25 m/s | Mach 0.75 |

343 m/s | Mach 1 |

514.5 m/s | Mach 1.5 |

686 m/s | Mach 2 |

857.5 m/s | Mach 2.5 |

1,029 m/s | Mach 3 |

1,201 m/s | Mach 3.5 |

1,372 m/s | Mach 4 |

1,544 m/s | Mach 4.5 |

1,715 m/s | Mach 5 |

1,887 m/s | Mach 5.5 |

2,058 m/s | Mach 6 |

2,230 m/s | Mach 6.5 |

2,401 m/s | Mach 7 |

2,573 m/s | Mach 7.5 |

2,744 m/s | Mach 8 |

2,916 m/s | Mach 8.5 |

3,087 m/s | Mach 9 |

3,259 m/s | Mach 9.5 |

3,430 m/s | Mach 10 |

## References

- National Institute of Standards and Technology, NIST Guide to the SI, Chapter 6: Rules and Style Conventions for Printing and Using Units, https://www.nist.gov/pml/special-publication-811/nist-guide-si-chapter-6-rules-and-style-conventions-printing-and-using
- NASA, Mach Number, https://www.grc.nasa.gov/WWW/BGH/mach.html