# Feet per Second to Mach Number Converter

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

## Result in Mach Number:

1 ft/s = Mach 0.000889

Do you want to convert Mach number to feet per second?

## 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:

Mach number = feet per second × 0.000889

The Mach number is equal to the speed in feet per second multiplied by 0.000889.

For example, here's how to convert 5 feet per second to Mach number using the formula above.
5 ft/s = (5 × 0.000889) = Mach 0.004443

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

## What Are 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 the expressions of units, the slash, or solidus (/), is used to express a change in one or more units relative to a change in one or more other units.[1] For example, ft/s is expressing a change in length or distance relative to a change in time.

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.

## What Is 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 classifications for various mach numbers.
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

Mach numbers converted to Mach number
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

## References

1. 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
2. NASA, Mach Number, https://www.grc.nasa.gov/WWW/BGH/mach.html