Convert Foot per Second to Mach (ft/s → Ma)

Converting feet per second to Mach is straightforward: multiply by the conversion factor. Follow these three steps to do it by hand or in your head.

1. 1
   Take your value in feet per second

   Start with the number of feet per second (ft/s) you want to convert.
2. 2
   Multiply by 0.000896

   The conversion factor from ft/s to Ma is 0.000896. Multiply your value by this number.
3. 3
   Read the result in Mach

   The result is your value in Mach (Ma).

Multiply the value in feet per second by 0.000896. For the reverse direction, multiply by 1,116.437.

• ✓1 ft/s = 0.3048 m/s = 1.097 km/h = 0.682 mph.
• ✓Multiplying ft/s by 0.682 gives mph.
• ✓US engineering often uses ft/s; metric countries use m/s.

• ✗Confusing ft/s with fps (frames per second in video/gaming).
• ✗Mixing ft/s with mph without conversion.
• ✗Using ft/s instead of m/s in international scientific contexts.

What is the Foot per Second?

Feet per second is the standard ballistics unit for projectile speeds, American sports analytics, and engineering. Bullet velocities are universally given in fps: a .22 LR bullet flies at about 1,200 fps, a 9 mm pistol round at 1,150 fps, and a high-velocity rifle round at 3,000 fps. American football and baseball analytics increasingly use fps for measuring throwing speed, ball exit velocity, and player movement. Engineering disciplines that retain US customary units (HVAC, civil engineering) often specify air or water flow speeds in fps. The unit relates to mph (1.467 fps = 1 mph), m/s (1 fps ≈ 0.305 m/s), and the knot (1 fps ≈ 0.592 kn). Outside ballistics and US sports, m/s and km/h dominate — but in their domains, fps remains entrenched in American technical practice.

• US ballistics and firearms
• US civil-engineering flow rates
• Older US physics and engineering texts

What is the Mach?

Mach is a dimensionless speed ratio comparing an object's speed to the local speed of sound (about 343 m/s in air at sea level, varying with altitude and temperature). Named after Austrian physicist Ernst Mach (1838–1916), who pioneered supersonic photography, the unit became standard with high-speed aviation. Mach 1 = sound speed; Mach 2 = twice sound speed. The Concorde cruised at Mach 2.04, the SR-71 Blackbird reached Mach 3.3, and modern commercial jets cruise at Mach 0.78–0.85 (subsonic). 'Breaking the sound barrier' (first achieved by Chuck Yeager in 1947) means crossing Mach 1 in horizontal flight. Hypersonic missiles operate above Mach 5. Mach is essential in aerodynamics because shock waves, drag, and heating all depend on the relationship between vehicle speed and sound speed. At sea level: Mach 1 ≈ 1,235 km/h ≈ 767 mph ≈ 343 m/s.

• Military and supersonic-aircraft speeds
• Aerospace engineering
• Hypersonic missile specifications