Convert speed to Mach or Mach to speed in m/s, km/h, mph, knots, or ft/s with air or water temperature, altitude, or custom speed of sound.
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m/s to Mach Formula
The following expresses Mach number as the ratio of speed to the local speed of sound, which depends on the medium and conditions.
M = (v) / (a)
- Air (ISA, sea level, 15 ยฐC): a โ 340.29 m/s.
- Dry-air model: a = โ(ฮณRT), with ฮณ = 1.4, R = 287.05 J/(kgยทK), and T in kelvin. The altitude option uses standard-atmosphere geopotential height from 0โ20,000 m, rather than actual measured air conditions.
- Freshwater (20 ยฐC): a โ 1482.36 m/s using the NPL BilaniukโWong pure-water approximation, valid 0โ100 ยฐC at atmospheric pressure. Salinity and depth effects are excluded.
- Convert any speed unit to m/s before applying M = v/a.
m/s to Mach Conversion Table
| Speed (m/s) | Mach |
|---|---|
| 50 | 0.147 |
| 100 | 0.294 |
| 150 | 0.441 |
| 200 | 0.588 |
| 250 | 0.735 |
| 300 | 0.882 |
| 340 | 0.999 |
| 400 | 1.176 |
| 500 | 1.470 |
| 600 | 1.764 |
| 700 | 2.058 |
| 800 | 2.352 |
| 900 | 2.645 |
| 1000 | 2.939 |
| * ISA sea level, 15 ยฐC: a โ 340.29 m/s. | |
How do you convert m/s to Mach? Divide the speed by the local speed of sound: M = v รท a (e.g., at 15 ยฐC in air, a โ 340.29 m/s).
How do you convert Mach to m/s? Multiply Mach by the local speed of sound: v = M ร a, then convert to your preferred units.
Example Problem
Convert 250 m/s to Mach at sea level, 15 ยฐC (air).
Use the formula: M = v รท a.
M = 250 รท 340.29 โ 0.735
