Mach to Inches Per Second
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Conversion Table

How to convert

1 mach (M) = 13397 inch per second (in/s). Mach (M) is a unit of Speed used in Metric system. Inch Per Second (in/s) is a unit of Speed used in Standard system.

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

Inches per second: A unit of speed

Inches per second ( in/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 inches divided by the time taken in seconds. For example, if a worm travels 2 inches in 1 second, its speed is 2 in/s.

How to convert inches per second

Inches 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 in/s to m/s, multiply by 0.0254. To convert from m/s to in/s, divide by 0.0254. For example, 1 in/s is equal to 0.0254 m/s, and 10 m/s is equal to 393.701 in/s.
• Kilometers per hour (km/h): To convert from in/s to km/h, multiply by 0.09144. To convert from km/h to in/s, divide by 0.09144. For example, 1 in/s is equal to 0.09144 km/h, and 50 km/h is equal to 547.867 in/s.
• Miles per hour (mph): To convert from in/s to mph, multiply by 0.0568182. To convert from mph to in/s, divide by 0.0568182. For example, 1 in/s is equal to 0.0568182 mph, and 30 mph is equal to 528 in/s.
• Knots (kn): To convert from in/s to kn, multiply by 0.0493737. To convert from kn to in/s, divide by 0.0493737. For example, 1 in/s is equal to 0.0493737 kn, and 15 kn is equal to 303.795 in/s.
• Feet per second (ft/s): To convert from in/s to ft/s, divide by 12. To convert from ft/s to in/s, multiply by 12. For example, 1 in/s is equal to 0.0833333 ft/s, and 10 ft/s is equal to 120 in/s .
• Miles per second (mi/s): To convert from in/s to mi/s , multiply by 1.5783x10 -5 . To convert from mi/s to in/s, divide by 1.5783x10 -5 . For example,1 in/s is equal to 1.5783x10 -5 mi/s, and 1 mi/s is equal to 63360 in/s .

Where inches per second are used

Inches per second are mainly used in engineering and manufacturing to measure the speed or velocity of machines and processes.

For example, the cutting speed of a lathe or a milling machine is often given in inches per minute, which is equivalent to inches per second divided by 60.

The rotational speed of a hard disk drive is often given in revolutions per minute, which can be converted to inches per second by multiplying by the circumference of the disk.

The flow rate of a fluid through a pipe or a nozzle is often given in gallons per minute, which can be converted to inches per second by multiplying by the cross-sectional area of the pipe or the nozzle.

Definition of inches per second

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

Mathematically, it can be expressed as:

v = s / t

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

History of inches 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 inch was originally derived from the Roman uncia which was one twelfth of a Roman foot or about 0.97 inches .

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 inch per second as a unit of speed or velocity.

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

Example conversions of inches per second to other units

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

1 in/s = 0.0254 m/s = 0.09144 km/h = 0.0568182 mph = 0.0493737 kn = 0.0833333 ft/s = 1.5783x10 -5 mi/s
2 in/s = 0.0508 m/s = 0.18288 km/h = 0.113636 mph = 0.0987474 kn = 0.166667 ft/s = 3.1566x10 -5 mi/s
5 in/s = 0.127 m/s = 0.4572 km/h = 0.284091 mph = 0.246869 kn = 0.416667 ft/s = 7.8915x10 -5 mi/s
10 in/s = 0.254 m/s = 0.9144 km/h = 0.568182 mph = 0.493737 kn = 0.833333 ft/s = 1.5783x10 -4 mi/s
20 in/s = 0.508 m/s = 1.8288 km/h = 1.13636 mph = 0.987475 kn = 1.66667 ft/s = 3.1566x10 -4 mi/s
50 in/s = 1.27 m/s = 4.572 km/h = 2.84091 mph = 2.46869 kn = 4.16667 ft/s = 7.8915x10 -4 mi/s
100 in/s = 2.54 m/s = 9.144 km/h = 5.68182 mph = 4.93737 kn = 8.33333 ft/s = 1.5783x10 -3 mi/s