# Centimeters Per Second to Mach Number Conversion

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

**Results in Mach Number:**

## How to Convert Centimeters Per Second to Mach Number

To convert a centimeter per second measurement to a Mach measurement, multiply the speed by the conversion ratio. One centimeter per second is equal to Mach 2.9155E-5, so use this simple formula to convert:

The Mach number is equal to the speed in centimeters per second multiplied by 2.9155E-5.

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

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

## Centimeters Per Second

Centimeters per second are a measurement of speed expressing the distance travelled in centimeters in one second.

The centimeter per second, or centimetre per second, is an SI unit of speed in the metric system. Centimeters per second can be abbreviated as *cm/s*, and are also sometimes abbreviated as *cm/sec*. For example, 1 centimeter per second can be written as 1 cm/s or 1 cm/sec.

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

Centimeters per second can be expressed using the formula:

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

The velocity in centimeters per second is equal to the distance in centimeters 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 |

## Centimeter Per Second to Mach Conversion Table

Centimeters Per Second | Mach Number |
---|---|

8,575 cm/s | Mach 0.25 |

17,150 cm/s | Mach 0.5 |

25,725 cm/s | Mach 0.75 |

34,300 cm/s | Mach 1 |

51,450 cm/s | Mach 1.5 |

68,600 cm/s | Mach 2 |

85,750 cm/s | Mach 2.5 |

102,900 cm/s | Mach 3 |

120,050 cm/s | Mach 3.5 |

137,200 cm/s | Mach 4 |

154,350 cm/s | Mach 4.5 |

171,500 cm/s | Mach 5 |

188,650 cm/s | Mach 5.5 |

205,800 cm/s | Mach 6 |

222,950 cm/s | Mach 6.5 |

240,100 cm/s | Mach 7 |

257,250 cm/s | Mach 7.5 |

274,400 cm/s | Mach 8 |

291,550 cm/s | Mach 8.5 |

308,700 cm/s | Mach 9 |

325,850 cm/s | Mach 9.5 |

343,000 cm/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