Feet per Second to Mach Converter
Speed · unit-converter
Convert Feet per Second to Mach with a fixed input and output unit, step-by-step formula line, and reference tables. All calculations bridge through meters per second with fixed definitions (knot, international mile, Mach 1 = ISA sea level, Beaufort WMO bands at 10 m, vacuum c, plus linear SI and imperial rate units like km/s, fpm, ips, cm/s, and mm/s).
About Feet per Second
Feet per second appears in ballistics, engineering, and some US sports contexts; it relates to imperial length per second.
About Mach
Mach number is the ratio of speed to the local speed of sound. Here Mach 1 is fixed at 340.29 m/s (ISA sea level, ~15 °C) for consistent numeric conversion.
How to convert feet per second to mach (isa sea level)
1 feet per second equals 0.0008957066031913956 mach in this tool (via m/s):
1 fps = (0.3048 m/s ÷ 340.29 m/s) mach = 0.0008957066031913956 mach
Each feet per second carries 0.3048 m/s and each mach 340.29 m/s, so one fps equals 0.3048 ÷ 340.29 mach.
Let v(fps) be the numeric speed in Feet per Second (fps), and v(mach) in Mach (mach). Then:
v(mach) = v(fps) × (0.3048 / 340.29)
Equivalently, divide by how many fps fit into one mach (m/s per mach divided by m/s per fps):
v(mach) = v(fps) ÷ 1116.4370078740158
Examples
Example #1: Convert 10 fps to mach
10 fps = 10 fps × (0.3048/340.29) mach = 0.008957066 mach
10 fps = 10 fps ÷ 1116.4370078740158 = 0.008957066 mach
Example #2: Convert 50 fps to mach
50 fps = 50 fps × (0.3048/340.29) mach = 0.0447853302 mach
50 fps = 50 fps ÷ 1116.4370078740158 = 0.0447853302 mach
Summary
To convert Feet per Second to Mach, multiply the value in fps by (0.3048 m/s per fps) / (340.29 m/s per mach). Equivalently: value_mach = value_fps × (0.3048 / 340.29). Numerically, 1 fps equals 0.0008957066031913956 mach.
Relationship context
You are converting between Feet per Second and Mach. Mach is treated as multiples of Mach 1 = 340.29 m/s (ISA reference). Actual Mach depends on altitude and temperature; this tool uses one reference sound speed for reproducible numbers.
Conversion tables
| Feet per Second (fps) | Mach (mach) |
|---|---|
| 0.1 | 0.0000895707 |
| 1 | 0.0008957066 |
| 2 | 0.0017914132 |
| 3 | 0.0026871198 |
| 4 | 0.0035828264 |
| 5 | 0.004478533 |
| 6 | 0.0053742396 |
| 7 | 0.0062699462 |
| 8 | 0.0071656528 |
| 9 | 0.0080613594 |
| Feet per Second (fps) | Mach (mach) |
|---|---|
| 10 | 0.008957066 |
| 20 | 0.0179141321 |
| 30 | 0.0268711981 |
| 40 | 0.0358282641 |
| 50 | 0.0447853302 |
| 60 | 0.0537423962 |
| 70 | 0.0626994622 |
| 80 | 0.0716565283 |
| 90 | 0.0806135943 |
| 100 | 0.0895706603 |