Enter a speed or a Mach number to convert between m/s and Mach using the selected medium and conditions.
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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 = \dfrac{v}{a}- Air (ISA, sea level, 15 °C): a ≈ 340.27 m/s.
- Air model: a = √(γRT) with γ = 1.4 and R = 287.05 J/(kg·K).
- Freshwater (≈20 °C): a ≈ 1482 m/s (empirical approximation).
- 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 °C: a ≈ 340.27 m/s. | |
How do you convert m/s to Mach? Divide the speed by the local speed of sound: M = v ÷ a (e.g., at 15 °C in air, a ≈ 340.27 m/s).
How do you convert Mach to m/s? Multiply Mach by the local speed of sound: v = M × a, then convert to your preferred units.
Example Problem
Convert 250 m/s to Mach at sea level, 15 °C (air).
Use the formula: M = v ÷ a.
M = 250 ÷ 340.27 ≈ 0.735