Mach Number to Feet Per Second Conversion

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

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Mach 1 = 1,125.328084 ft/s

How to Convert Mach Number to Feet Per Second

Speedometers are used in vehicles to measure speed

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:

feet per second = Mach number × 1,125.328084

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 2 = (2 × 1,125.328084) = 2,250.656168 ft/s

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 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

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:
vft/s = dfttsec

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 numbers converted to feet per second
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

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