Feet Per Second to Mach Number Conversion
Enter the speed in feet per second below to get the value converted to Mach number.
How to Convert Feet Per Second to Mach Number
To convert a foot per second measurement to a Mach measurement, multiply the speed by the conversion ratio. One foot per second is equal to Mach 0.000889, so use this simple formula to convert:
The Mach number is equal to the speed in feet per second multiplied by 0.000889.
Feet per second and Mach number are both units used to measure speed. Keep reading to learn more about each unit of measure.
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.
Feet per second can be expressed using the formula:
vft/s = dft / tsec
The velocity in feet per second is equal to the distance in feet divided by time in seconds.
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|
Foot Per Second to Mach Conversion Table
|Feet Per Second||Mach Number|
|281.33 ft/s||Mach 0.25|
|562.66 ft/s||Mach 0.5|
|844 ft/s||Mach 0.75|
|1,125 ft/s||Mach 1|
|1,688 ft/s||Mach 1.5|
|2,251 ft/s||Mach 2|
|2,813 ft/s||Mach 2.5|
|3,376 ft/s||Mach 3|
|3,939 ft/s||Mach 3.5|
|4,501 ft/s||Mach 4|
|5,064 ft/s||Mach 4.5|
|5,627 ft/s||Mach 5|
|6,189 ft/s||Mach 5.5|
|6,752 ft/s||Mach 6|
|7,315 ft/s||Mach 6.5|
|7,877 ft/s||Mach 7|
|8,440 ft/s||Mach 7.5|
|9,003 ft/s||Mach 8|
|9,565 ft/s||Mach 8.5|
|10,128 ft/s||Mach 9|
|10,691 ft/s||Mach 9.5|
|11,253 ft/s||Mach 10|
- 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