Mach to Foot per Minute Converter
Speed · unit-converter
Convert Mach to Foot per Minute 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 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.
About Foot per Minute
Feet per minute is common for vertical speed in aviation and some HVAC airflow/velocity contexts.
How to convert mach (isa sea level) to feet per minute
1 mach equals 66986.22047244094 foot per minute in this tool (via m/s):
1 mach = (340.29 m/s ÷ 0.00508 m/s) fpm = 66986.22047244094 fpm
Each mach carries 340.29 m/s and each foot per minute 0.00508 m/s, so one mach equals 340.29 ÷ 0.00508 fpm.
Let v(mach) be the numeric speed in Mach (mach), and v(fpm) in Foot per Minute (fpm). Then:
v(fpm) = v(mach) × (340.29 / 0.00508)
Equivalently, divide by how many mach fit into one fpm (m/s per fpm divided by m/s per mach):
v(fpm) = v(mach) ÷ 0.00001492844338652326
Examples
Example #1: Convert 10 mach to foot per minute
10 mach = 10 mach × (340.29/0.00508) fpm = 669862.204724 fpm
10 mach = 10 mach ÷ 0.00001492844338652326 = 669862.204724 fpm
Example #2: Convert 50 mach to foot per minute
50 mach = 50 mach × (340.29/0.00508) fpm = 3349311.0236200001 fpm
50 mach = 50 mach ÷ 0.00001492844338652326 = 3349311.0236200001 fpm
Summary
To convert Mach to Foot per Minute, multiply the value in mach by (340.29 m/s per mach) / (0.00508 m/s per fpm). Equivalently: value_fpm = value_mach × (340.29 / 0.00508). Numerically, 1 mach equals 66986.22047244094 fpm.
Relationship context
You are converting between Mach and Foot per Minute. 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
| Mach (mach) | Foot per Minute (fpm) |
|---|---|
| 0.1 | 6,698.62204724 |
| 1 | 66,986.2204724 |
| 2 | 133,972.440945 |
| 3 | 200,958.661417 |
| 4 | 267,944.88189 |
| 5 | 334,931.102362 |
| 6 | 401,917.322835 |
| 7 | 468,903.543307 |
| 8 | 535,889.76378 |
| 9 | 602,875.984252 |
| Mach (mach) | Foot per Minute (fpm) |
|---|---|
| 10 | 669,862.204724 |
| 20 | 1,339,724.4094499999 |
| 30 | 2,009,586.61417 |
| 40 | 2,679,448.8188999998 |
| 50 | 3,349,311.0236200001 |
| 60 | 4,019,173.22835 |
| 70 | 4,689,035.4330700003 |
| 80 | 5,358,897.6377999997 |
| 90 | 6,028,759.8425200004 |
| 100 | 6,698,622.0472400002 |