Foot per Minute to Mach Converter
Speed · unit-converter
Convert Foot per Minute 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 Foot per Minute
Feet per minute is common for vertical speed in aviation and some HVAC airflow/velocity contexts.
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 minute to mach (isa sea level)
1 foot per minute equals 0.00001492844338652326 mach in this tool (via m/s):
1 fpm = (0.00508 m/s ÷ 340.29 m/s) mach = 0.00001492844338652326 mach
Each foot per minute carries 0.00508 m/s and each mach 340.29 m/s, so one fpm equals 0.00508 ÷ 340.29 mach.
Let v(fpm) be the numeric speed in Foot per Minute (fpm), and v(mach) in Mach (mach). Then:
v(mach) = v(fpm) × (0.00508 / 340.29)
Equivalently, divide by how many fpm fit into one mach (m/s per mach divided by m/s per fpm):
v(mach) = v(fpm) ÷ 66986.22047244094
Examples
Example #1: Convert 10 fpm to mach
10 fpm = 10 fpm × (0.00508/340.29) mach = 0.0001492844 mach
10 fpm = 10 fpm ÷ 66986.22047244094 = 0.0001492844 mach
Example #2: Convert 50 fpm to mach
50 fpm = 50 fpm × (0.00508/340.29) mach = 0.0007464222 mach
50 fpm = 50 fpm ÷ 66986.22047244094 = 0.0007464222 mach
Summary
To convert Foot per Minute to Mach, multiply the value in fpm by (0.00508 m/s per fpm) / (340.29 m/s per mach). Equivalently: value_mach = value_fpm × (0.00508 / 340.29). Numerically, 1 fpm equals 0.00001492844338652326 mach.
Relationship context
You are converting between Foot per Minute 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
| Foot per Minute (fpm) | Mach (mach) |
|---|---|
| 0.1 | 0.0000014928 |
| 1 | 0.0000149284 |
| 2 | 0.0000298569 |
| 3 | 0.0000447853 |
| 4 | 0.0000597138 |
| 5 | 0.0000746422 |
| 6 | 0.0000895707 |
| 7 | 0.0001044991 |
| 8 | 0.0001194275 |
| 9 | 0.000134356 |
| Foot per Minute (fpm) | Mach (mach) |
|---|---|
| 10 | 0.0001492844 |
| 20 | 0.0002985689 |
| 30 | 0.0004478533 |
| 40 | 0.0005971377 |
| 50 | 0.0007464222 |
| 60 | 0.0008957066 |
| 70 | 0.001044991 |
| 80 | 0.0011942755 |
| 90 | 0.0013435599 |
| 100 | 0.0014928443 |