Miles Per Minute to Inches Per Second Converter (mi/min to in/s)
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Miles Per Minute to Inches Per Second
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Convert Inches Per Second to Miles Per Minute (in/s to mi/min) ▶

Conversion Table

miles per minute to inches per second
mi/minin/s
1 mi/min 1056 in/s
2 mi/min 2112 in/s
3 mi/min 3168 in/s
4 mi/min 4224 in/s
5 mi/min 5280 in/s
6 mi/min 6336 in/s
7 mi/min 7392 in/s
8 mi/min 8448 in/s
9 mi/min 9504 in/s
10 mi/min 10560 in/s
11 mi/min 11616 in/s
12 mi/min 12672 in/s
13 mi/min 13728 in/s
14 mi/min 14784 in/s
15 mi/min 15840 in/s
16 mi/min 16896 in/s
17 mi/min 17952 in/s
18 mi/min 19008 in/s
19 mi/min 20064 in/s
20 mi/min 21120 in/s

How to convert

1 mile per minute (mi/min) = 1056 inch per second (in/s). Mile Per Minute (mi/min) is a unit of Speed used in Standard system. Inch Per Second (in/s) is a unit of Speed used in Standard system.

Miles per minute: a unit of speed

Miles per minute is a unit of speed that measures how many miles an object travels in one minute. It is commonly used in the United States and some other countries that use the imperial or US customary system of measurement. One mile per minute is equal to 60 miles per hour or 96.56 kilometers per hour.

How to convert miles per minute

To convert miles per minute to other units of speed, we can use the following formulas:

  • To convert miles per minute to miles per hour, multiply by 60. For example, 3 miles per minute = 3 x 60 = 180 miles per hour.
  • To convert miles per minute to feet per second, multiply by 88. For example, 3 miles per minute = 3 x 88 = 264 feet per second.
  • To convert miles per minute to kilometers per hour, multiply by 96.56. For example, 3 miles per minute = 3 x 96.56 = 289.68 kilometers per hour.
  • To convert miles per minute to meters per second, multiply by 26.8224. For example, 3 miles per minute = 3 x 26.8224 = 80.4672 meters per second.
  • To convert miles per minute to knots, multiply by 51.852. For example, 3 miles per minute = 3 x 51.852 = 155.556 knots.
  • To convert miles per minute to mach, divide by 49.17. For example, 3 miles per minute = 3 / 49.17 = 0.061 mach.

Where miles per minute are used

Miles per minute are used in various contexts and applications that involve speed or distance measurement. Some examples are:

  • In aviation, miles per minute are used to measure the rate of climb or descent of an aircraft. For example, an aircraft that climbs at a rate of 5 miles per minute has a vertical speed of 300 feet per second or 1828 meters per minute.
  • In rail transport, miles per minute are used to measure the speed of trains or locomotives. For example, a train that travels at a speed of 2 miles per minute has a horizontal speed of 120 miles per hour or 193 kilometers per hour.
  • In sports, miles per minute are used to measure the pace or performance of runners or cyclists. For example, a runner who runs a mile in 4 minutes has a pace of 0.25 miles per minute or 15 minutes per mile.
  • In engineering, miles per minute are used to measure the rotational speed of machines or devices. For example, a fan that rotates at a speed of 0.1 miles per minute has an angular speed of 6 degrees per second or 0.105 radians per second.

Definition of the miles per minute

Miles per minute is defined as the ratio of the distance traveled in miles to the time elapsed in minutes. Mathematically, it can be expressed as:

Alternatively, it can be derived from the definition of the mile and the definition of the minute. A mile is defined as the length of one arc-minute along the equator of the Earth, which is approximately equal to 1609 meters. A minute is defined as one sixtieth of an hour, which is equal to 60 seconds.

History of miles per minute

The origin of the mile as a unit of length can be traced back to ancient Rome, where it was defined as one thousand paces or steps (mille passus in Latin). The Roman mile was about 1480 meters long and was divided into eight stadia or furlongs, each consisting of 125 paces.

The origin of the minute as a unit of time can be traced back to ancient Babylon, where it was defined as one sixtieth of an hour (mina in Babylonian). The Babylonian hour was based on the sexagesimal system of counting, which used base 60 instead of base 10. The Babylonian minute was about 4 seconds long and was divided into 60 seconds.

The combination of the mile and the minute as a unit of speed was first used in the 17th century by astronomers and navigators, who needed to measure the angular speed of celestial objects or the linear speed of ships. For example, in 1676, the Danish astronomer Ole Romer used miles per minute to estimate the speed of light by observing the eclipses of Jupiter’s moons.

The use of miles per minute as a unit of speed became more widespread in the 18th and 19th centuries, especially in the fields of transportation and engineering. For example, in 1804, the British engineer Richard Trevithick built the first steam locomotive that could reach a speed of one mile per minute. In 1903, the American brothers Orville and Wilbur Wright made the first powered flight that could achieve a speed of two miles per minute.

The use of miles per minute as a unit of speed declined in the 20th and 21st centuries, as more countries adopted the metric system and its units of speed, such as kilometers per hour or meters per second. However, miles per minute are still used in some contexts and applications, especially in the United States and some other countries that use the imperial or US customary system of measurement.

Example conversions of miles per minute to other units

Here are some examples of converting miles per minute to other units of speed:

  • 1 mile per minute = 60 miles per hour
  • 1 mile per minute = 88 feet per second
  • 1 mile per minute = 96.56 kilometers per hour
  • 1 mile per minute = 26.8224 meters per second
  • 1 mile per minute = 51.852 knots
  • 1 mile per minute = 0.0203 mach
  • 1 mile per minute = 0.0000052 light speed
Miles per minute also can be marked as mile/minute.

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:

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

Inch per second also can be marked as ips.



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