Convert Mach to Centimeter per Second (Ma → cm/s)

Converting Mach to centimeters per second is straightforward: multiply by the conversion factor. Follow these three steps to do it by hand or in your head.

1. 1
   Take your value in Mach

   Start with the number of Mach (Ma) you want to convert.
2. 2
   Multiply by 34,029

   The conversion factor from Ma to cm/s is 34,029. Multiply your value by this number.
3. 3
   Read the result in centimeters per second

   The result is your value in centimeters per second (cm/s).

Multiply the value in Mach by 34,029. For the reverse direction, multiply by 0.00002939.

• ✓Mach 1 = ~1225 km/h at sea level, standard conditions.
• ✓Local speed of sound decreases with altitude (colder air) — true Mach value varies.
• ✓Mach 0.8+ is "transonic"; Mach 1+ supersonic; Mach 5+ hypersonic.

• ✗Assuming Mach 1 is a fixed speed — depends on altitude and temperature.
• ✗Multiplying Mach values as simple ratios across altitudes.
• ✗Using Mach for subsonic everyday speeds — not practical.

What is the Mach?

Mach is a dimensionless speed ratio comparing an object's speed to the local speed of sound (about 343 m/s in air at sea level, varying with altitude and temperature). Named after Austrian physicist Ernst Mach (1838–1916), who pioneered supersonic photography, the unit became standard with high-speed aviation. Mach 1 = sound speed; Mach 2 = twice sound speed. The Concorde cruised at Mach 2.04, the SR-71 Blackbird reached Mach 3.3, and modern commercial jets cruise at Mach 0.78–0.85 (subsonic). 'Breaking the sound barrier' (first achieved by Chuck Yeager in 1947) means crossing Mach 1 in horizontal flight. Hypersonic missiles operate above Mach 5. Mach is essential in aerodynamics because shock waves, drag, and heating all depend on the relationship between vehicle speed and sound speed. At sea level: Mach 1 ≈ 1,235 km/h ≈ 767 mph ≈ 343 m/s.

• Military and supersonic-aircraft speeds
• Aerospace engineering
• Hypersonic missile specifications

What is the Centimeter per Second?

Centimeters per second is the natural unit for slow, sustained motions: ocean currents, biological growth rates, sedimentation in geology, and laboratory fluid dynamics. The Gulf Stream flows at about 90–250 cm/s, glaciers creep at 1–10 cm/s on average, and fingernails grow at roughly 0.0035 cm/s. Centimeters per second appears in oceanography, hydrology, soil science, and biological motion studies. It relates to m/s (100 cm/s = 1 m/s), km/h (1 cm/s = 0.036 km/h), and mph (1 cm/s ≈ 0.0224 mph). The CGS (centimeter-gram-second) unit system used cm/s as its base speed, which influenced older physics literature, particularly in astrophysics and fluid mechanics.

• Ocean current speeds
• Biological motion (cells, small organisms)
• Laboratory fluid flow rates