Miles Per Second to Mach
Converter

Conversion Table

How to convert

1 mile per second (mi/s) = 4.729374672 mach (M). Mile Per Second (mi/s) is a unit of Speed used in Standard system. Mach (M) is a unit of Speed used in Metric system.

Miles per second: A unit of speed

Miles per second (mi/s) is a unit of speed or velocity in the US customary and imperial systems. It measures how fast an object is moving by calculating the distance traveled in miles divided by the time taken in seconds. For example, if a bullet travels 1 mile in 0.5 seconds, its speed is 2 mi/s.

How to convert miles per second

Miles per second can be converted to other units of speed or velocity by using simple conversion factors. Here are some common units and their conversion factors:

• Meters per second (m/s): To convert from mi/s to m/s, multiply by 1609.34. To convert from m/s to mi/s, divide by 1609.34. For example, 1 mi/s is equal to 1609.34 m/s, and 100 m/s is equal to 0.0621371 mi/s.
• Kilometers per hour (km/h): To convert from mi/s to km/h, multiply by 5793.64. To convert from km/h to mi/s, divide by 5793.64. For example, 1 mi/s is equal to 5793.64 km/h, and 50 km/h is equal to 0.00863028 mi/s.
• Miles per hour (mph): To convert from mi/s to mph, multiply by 3600. To convert from mph to mi/s, divide by 3600. For example, 1 mi/s is equal to 3600 mph, and 60 mph is equal to 0.0166667 mi/s.
• Knots (kn): To convert from mi/s to kn, multiply by 3128.31. To convert from kn to mi/s, divide by 3128.31. For example, 1 mi/s is equal to 3128.31 kn, and 15 kn is equal to 0.00479717 mi/s.
• Feet per second (ft/s): To convert from mi/s to ft/s, multiply by 5280. To convert from ft/s to mi/s, divide by 5280. For example, 1 mi/s is equal to 5280 ft/s, and 40 ft/s is equal to 0.00757576 mi/s.
• Inches per second (in/s): To convert from mi/s to in/s, multiply by 63360. To convert from in/s to mi/s, divide by 63360. For example, 1 mi/s is equal to 63360 in/s, and 20 in/s is equal to 0.000315789 mi/s.

Where miles per second are used

Miles per second are mainly used in physics and astronomy to measure the speed or velocity of very fast objects and phenomena.

For example, the escape velocity of the Earth is about 11 km/s or about 6.84 mi/s.

The orbital velocity of the Earth around the Sun is about 30 km/s or about 18.64 mi/s.

The speed of light in a vacuum is about 300000 km/s or about 186282 mi/s.

The speed of sound in air at sea level is about 343 m/s or about 0.213139 mi/s.

Definition of miles per second

According to the US customary and imperial systems definition, one mile per second is the speed of a body that covers a distance of one mile in a time of one second.

Mathematically, it can be expressed as:

v = s / t

where v is the speed or velocity in miles per second, s is the distance traveled in miles, and t is the time taken in seconds.

History of miles per second

The concept of speed or velocity has been studied since ancient times by philosophers and scientists such as Aristotle, Galileo, Newton, etc.

The mile was originally derived from the Roman mile which was defined as one thousand paces or about 5000 Roman feet.

The second was originally defined in terms of the Earth’s rotation as one eighty-six thousand four hundredth of a mean solar day.

The combination of these two units resulted in the mile per second as a unit of speed or velocity.

The mile per second was officially adopted as part of the US customary and imperial systems in the late 18th century.

Example conversions of miles per second to other units

Here are some examples of converting miles per second to other units of speed or velocity:

• 1 mi/s = 1609.34 m/s = 5793.64 km/h = 3600 mph = 3128.31 kn = 5280 ft/s = 63360 in/s
• 2 mi/s = 3218.68 m/s = 11587.28 km/h = 7200 mph = 6256.62 kn = 10560 ft/s = 126720 in/s
• 5 mi/s = 8046.7 m/s = 28968.2 km/h = 18000 mph = 15657.55 kn = 26400 ft/s = 316800 in/s
• 10 mi/s = 16093.4 m/s = 57936.4 km/h = 36000 mph = 31283.1 kn = 52800 ft/s = 633600 in/s
• 20 mi/s = 32186.8 m/s = 115872.8 km/h = 72000 mph = 62566.2 kn = 105600 ft/s = 1267200 in/s
• 50 mi/s = 80467 m/s = 289682 km/h = 180000 mph = 156575.5 kn = 264000 ft/s = 3168000 in/s
• 100 mi/s = 160934 m/s = 579364 km/h = 360000 mph = 312831 kn = 528000 ft/s = 6336000 in/s

Mach number

Definition of Mach

Mach, commonly denoted M or Ma, is a dimensionless quantity in fluid dynamics representing the ratio of flow velocity past a boundary to the local speed of sound. It is named after the Austrian physicist and philosopher Ernst Mach, who studied gas dynamics and shock waves. Mach number is used to classify the flow regimes based on the effects of compressibility and shock waves on the flow.

How to Convert Mach

To convert mach to other units of speed, we need to multiply by the local speed of sound in the medium, which depends on the temperature and pressure of the gas. For example, to convert mach to meters per second, we need to multiply by the speed of sound in air at sea level, which is about 340 m/s. To convert mach to kilometers per hour, we need to multiply by the speed of sound in air at sea level and by 3.6, since there are 3.6 seconds in one hour.

Here are some examples of how to convert mach to other units of length in the US Standard system and the SI system:

• To convert 1 M to meters per second (m/s), we multiply by 340: 1 M x 340 = 340 m/s
• To convert 2 M to kilometers per hour (km/h), we multiply by 340 and by 3.6: 2 M x 340 x 3.6 = 2448 km/h
• To convert 3 M to miles per hour (mph), we multiply by 340 and by 2.2369362920544, since there are 2.2369362920544 miles in one kilometer: 3 M x 340 x 2.2369362920544 = 2285.714285714 mph
• To convert 4 M to feet per second (fps), we multiply by 340 and by 3.2808398950131, since there are 3.2808398950131 feet in one meter: 4 M x 340 x 3.2808398950131 = 4465.306122449 fps
• To convert 5 M to knots (kn), we multiply by 340 and by 1.9438444924406, since there are 1.9438444924406 nautical miles in one kilometer: 5 M x 340 x 1.9438444924406 = 3316.326530612 kn
• To convert 6 M to centimeters per second (cm/s), we multiply by 340 and by 100, since there are 100 centimeters in one meter: 6 M x 340 x 100 = 204000 cm/s

Where Mach Is Used

Mach is used in various fields of science and technology where the speed and direction of movement of objects or phenomena are measured or applied in relation to the speed of sound in the medium. For example:

• In aerodynamics and aeronautics, mach is used to measure the speed and performance of aircraft, rockets, missiles, and other flying vehicles, as well as the effects of air resistance, drag, lift, and thrust on them.
• In acoustics and sound engineering, mach is used to measure the intensity and frequency of sound waves, as well as the effects of reflection, refraction, diffraction, interference, and Doppler shift on them.
• In meteorology and climatology, mach is used to measure the speed and direction of wind, storms, hurricanes, tornadoes, and other weather phenomena, as well as the effects of temperature, pressure, humidity, and density on them.

History of Mach

The concept of mach number was first introduced by Swiss engineer Jakob Ackeret in his doctoral thesis in 1929. He proposed it as a convenient way to express the ratio of flow velocity to speed of sound in gas dynamics problems. He also named it after Ernst Mach, who had conducted experiments on supersonic projectiles and shock waves in the late nineteenth century.

The term mach number was later popularized by German-American engineer Theodore von Karman, who used it extensively in his research on aerodynamics and supersonic flight in the early twentieth century. He also established the first supersonic wind tunnel at Caltech in 1939.

The first human-made object to break the sound barrier was a rocket-powered plane called Bell X-1 piloted by Chuck Yeager in October 1947. He achieved a speed of about Mach 1.06 at an altitude of 13,000 meters.
The first human to travel faster than sound was Soviet cosmonaut Yuri Gagarin, who orbited the Earth at a speed of about Mach 25 in April 1961.
The fastest manned aircraft ever flown was the North American X-15, which reached a speed of about Mach 6.7 in October 1967.

The fastest unmanned aircraft ever flown was the NASA X-43A, which reached a speed of about Mach 9.6 in November 2004.

Example Conversions of Mach to Other Units

Here are some examples of how to convert mach to other units of speed, using the conversion factors given above:

• To convert 1 M to meters per second, we multiply by 340: 1 M x 340 = 340 m/s
• To convert 2 M to kilometers per hour, we multiply by 340 and by 3.6: 2 M x 340 x 3.6 = 2448 km/h
• To convert 3 M to miles per hour, we multiply by 340 and by 2.2369362920544: 3 M x 340 x 2.2369362920544 = 2285.714285714 mph
• To convert 4 M to feet per second, we multiply by 340 and by 3.2808398950131: 4 M x 340 x 3.2808398950131 = 4465.306122449 fps
• To convert 5 M to knots, we multiply by 340 and by 1.9438444924406: 5 M x 340 x 1.9438444924406 = 3316.326530612 kn
• To convert 6 M to centimeters per second, we multiply by 340 and by 100: 6 M x 340 x 100 = 204000 cm/s
• To convert 7 M to millimeters per minute, we multiply by 340 and by 1000, since there are 1000 millimeters in one meter, and multiply by 60, since there are 60 minutes in one hour: 7 M x 340 x 1000 x 60 = 142800000 mm/min