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