# Mach Number to Feet Per Second Conversion

Enter the Mach number below to convert the speed to feet per second.

**Results in Feet Per Second:**

## How to Convert Mach Number to Feet Per Second

To convert a Mach measurement to a foot per second measurement, multiply the Mach number by the conversion ratio. Mach 1 is equal to 1,125.328084 feet per second, so use this simple formula to convert:

The speed in feet per second is equal to the Mach number multiplied by 1,125.328084.

**For example,**here's how to convert Mach 2 to feet per second using the formula above.

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

## 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.^{[1]}

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 |

## Feet Per Second

Feet per second are a measurement of speed expressing the distance traveled in feet in one second.

The foot per second is a US customary and imperial unit of speed. Feet per second can be abbreviated as *ft/s*, and are also sometimes abbreviated as *ft/sec* or *fps*. For example, 1 foot per second can be written as 1 ft/s, 1 ft/sec, or 1 fps.

In formal expressions, the slash, or solidus (/), is used to separate units used to indicate division in an expression.^{[2]}

Feet per second can be expressed using the formula:

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

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

## Mach to Foot Per Second Conversion Table

Mach Number | Feet Per Second |
---|---|

Mach 0.25 | 281.33 ft/s |

Mach 0.5 | 562.66 ft/s |

Mach 0.75 | 844 ft/s |

Mach 1 | 1,125 ft/s |

Mach 1.5 | 1,688 ft/s |

Mach 2 | 2,251 ft/s |

Mach 2.5 | 2,813 ft/s |

Mach 3 | 3,376 ft/s |

Mach 3.5 | 3,939 ft/s |

Mach 4 | 4,501 ft/s |

Mach 4.5 | 5,064 ft/s |

Mach 5 | 5,627 ft/s |

Mach 5.5 | 6,189 ft/s |

Mach 6 | 6,752 ft/s |

Mach 6.5 | 7,315 ft/s |

Mach 7 | 7,877 ft/s |

Mach 7.5 | 8,440 ft/s |

Mach 8 | 9,003 ft/s |

Mach 8.5 | 9,565 ft/s |

Mach 9 | 10,128 ft/s |

Mach 9.5 | 10,691 ft/s |

Mach 10 | 11,253 ft/s |

## References

- NASA, Mach Number, https://www.grc.nasa.gov/WWW/BGH/mach.html
- 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