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Mach to MPH Converter

Convert Mach number to mph (and back) using the real speed of sound. Pick a sea level standard, room temp, or custom air temperature.

Mach to MPH converter

Enter a Mach number (e.g. 0.85 for a typical airliner, 2 for supersonic).

The speed of sound changes with air temperature, so colder air (high altitude) makes Mach 1 slower in mph.

Mach 2 at this temperature

1,535.58 mph

mph

1,535.58 mph

km/h

2,471.28 km/h

Knots

1,334.39 kn

ft/s

2,252.19 ft/s

Speed of sound used: 767.79 mph

343.23 m/s, 1,235.64 km/h, 667.19 kn, 1,126.09 ft/s. Mach 1 equals this speed.

Frequently Asked Questions about the Mach to MPH Converter

How do you convert Mach to mph?
Multiply the Mach number by the local speed of sound, then convert that speed to miles per hour. The speed of sound depends on air temperature: a = sqrt(1.4 * 287.05287 * T), where T is the absolute temperature in kelvin. At a standard sea level day (15 C) the speed of sound is about 761 mph, so Mach 2 is roughly 1,522 mph there.
Why is Mach 1 sometimes 761 mph and sometimes 767 mph?
Both figures are correct for different air temperatures. Mach 1 is about 761 mph at the ISA standard sea level temperature of 15 C (59 F), and about 768 mph at a 20 C (68 F) room-temperature day. Since the speed of sound rises with temperature, warmer air makes Mach 1 a faster mph value.
Does altitude change the Mach to mph result?
Yes, but only through temperature, not pressure or altitude directly. Air gets colder as you climb to the jet cruise range, so the speed of sound drops to roughly 660 mph near the tropopause (around -56.5 C). That is why an airliner cruising at Mach 0.85 covers fewer mph at altitude than the same Mach number would at sea level. Use the cruise altitude preset or enter the actual outside air temperature for an accurate answer.
How do I convert mph back to Mach?
Switch the converter to mph to Mach, then enter your speed in miles per hour. The tool divides your speed by the speed of sound at the chosen temperature. For example, 1,000 mph at a standard sea level day (15 C) works out to about Mach 1.31.
What gas constant and assumptions does this use?
It models dry air as an ideal gas with a ratio of specific heats (gamma) of 1.4 and a specific gas constant of 287.05287 J per kg per kelvin, matching the ISA standard atmosphere. Humidity, very high speeds where air chemistry changes, and non-standard gas mixtures are not modeled, so treat results in extreme conditions as approximate.

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