Convert speed units — km/h, mph, m/s, knots, mach and more.
| Unit | Name | Value |
|---|---|---|
| 0.001 ft/s | 8.9568e-07 mach | |
| 0.01 ft/s | 8.9568e-06 mach | |
| 0.1 ft/s | 8.9568e-05 mach | |
| 1 ft/s | 0.00089568 mach | |
| 5 ft/s | 0.0044784 mach | |
| 10 ft/s | 0.0089568 mach | |
| 50 ft/s | 0.044784 mach | |
| 100 ft/s | 0.089568 mach | |
| 1000 ft/s | 0.89568 mach |
Common foot per second values converted to mach — factor: 1 ft/s = 0.0008957 mach
| Foot per Second (ft/s) | Mach (mach) | Context |
|---|---|---|
| 1 ft/s | 0.0008957 mach | Very slow |
| 5 ft/s | 0.004478 mach | Walk |
| 10 ft/s | 0.008957 mach | Jog |
| 20 ft/s | 0.01791 mach | Sprint |
| 50 ft/s | 0.04478 mach | Fast sprint |
| 88 ft/s | 0.07882 mach | 60 mph car |
| 100 ft/s | 0.08957 mach | 60 mph car |
| 147 ft/s | 0.1317 mach | 100 mph car |
| 500 ft/s | 0.4478 mach | Racing car |
| 880 ft/s | 0.7882 mach | 600 mph jet |
| 1,000 ft/s | 0.8957 mach | High-speed jet |
| 1,125 ft/s | 1.008 mach | Speed of sound |
| 2,200 ft/s | 1.97 mach | Rifle bullet |
| 3,000 ft/s | 2.687 mach | Fast bullet |
| 5,000 ft/s | 4.478 mach | Rocket |
Converting foot per second to mach is essential for drivers, pilots, engineers, and scientists working across different measurement systems. Road speed limits, aviation airspeed, nautical navigation, and physics calculations each use different speed units, making quick and accurate conversion a practical everyday skill.
Key reference points: 5 ft/s = 0.004478 mach and 10 ft/s = 0.008957 mach. At higher speeds, 100 ft/s = 0.08957 mach. For reverse conversion, multiply mach values by 1116 to get back to ft/s.
All conversions use the internationally recognized factor of exactly 1 ft/s = 0.0008957 mach. Calculations are performed in IEEE 754 double-precision floating point, giving accuracy to at least 8 significant figures — more than sufficient for any practical application.
Formula: Mach = Foot per Second × 0.00089568028
Multiply any foot per second value by 0.00089568028 to get mach. One foot per second equals 0.00089568028 mach.
Reverse: Foot per Second = Mach × 1116.4698
1 ft/s = 0.00089568028 mach. Memorize this for instant mental estimates.
Use 0.00089568028 as a quick mental multiplier.
To verify: multiply your result by 1116.4698 to recover the original ft/s value.
Rates bullet muzzle velocity in feet per second for ammunition comparisons.
Measures duct air velocity in feet per second for airflow design.
Evaluates arrow speed in fps to optimize bow setup and shooting form.
Sets character movement speeds in fps for physics-based game engines.
Calculates water hammer and pipe flow velocities in ft/s.
References pitch speed, puck speed, and serve speed in fps for broadcast.
Feet per second is an Imperial unit of speed equal to exactly 0.3048 m/s. It was in common use in Britain and America from the 17th century, particularly in ballistics and military applications.
ft/s remains the standard in US ballistics: bullet velocities, muzzle speeds, and arrow velocities are universally quoted in feet per second. It also appears in HVAC airflow measurements and some engineering contexts.
Interesting fact: A typical rifle bullet travels at 900-1,200 ft/s (270-370 m/s). The speed of sound at sea level is approximately 1,125 ft/s.
Mach number was named after Austrian physicist Ernst Mach (1838-1916), who studied the properties of supersonic flow. It represents the ratio of an object's speed to the local speed of sound.
Mach is used in aviation and aerospace to describe speeds relative to sound: Mach 1 is the sound barrier (~340 m/s at sea level), Mach 2 is twice that. Commercial aircraft cruise at Mach 0.85, while fighter jets reach Mach 2+.
Interesting fact: The SR-71 Blackbird held the air speed record at Mach 3.3 (3,530 km/h). The Space Shuttle re-entered the atmosphere at Mach 25, and the Parker Solar Probe reached Mach 163.