Unit of length

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Graduated rule with two types of length units: centimeters (up) and inches (low).

A unit of length is a standardized amount of length defined by convention. Length is a fundamental quantity created to measure the distance between two points. There are various systems of units for this physical quantity; the most commonly used are the International System of Units and the Anglo-Saxon system of units.

History

Ancient definition of the subway as the ten-millionth part of the quadrant of a land meridian.

Traditionally, ancient societies used the dimensions of the human body as a reference system to measure length. Examples of this were the inch, defined as the width of a thumb; the foot, defined as the length of a human foot; the yard, which was the distance from the tip of the nose to the tip of the middle finger at arm's length; the fathom, which corresponded to the distance from tip to tip between the middle fingers with the arms extended; the span, which was the length of the palm of the hand; and the elbow, approximately the length of the forearm.

In Ancient Rome, units of length were defined for greater distances. The mile was defined as the distance covered by a Roman legion in taking 2,000 steps. One mile was equal to eight stadia and three miles were approximately one league.

For centuries each nation defined its own units of length; in most cases, two units called the same in different countries represented different longitudes. This induced the need to define a standard of universal length, that is, based on physical phenomena accessible anywhere in the world. In 1670, the astronomer and religious Gabriel Mouton proposed the length of a minute of arc of a meridian of the Earth as a standard of measurement. Based on this idea, in 1790, during the French Revolution, the National Assembly decided to define a unit of length as one ten-millionth of the distance from the North Pole to the equator, along the meridian that passes through Dunkirk and Barcelona. This unit came to be known as "meter" and would be subdivided into parts of ten; in this way the decimal metric system would arise. In 1960, the definitions of the units of the metric system were revised and the name International System of Units was adopted for the modern version of the system.

International System of Units

Platinum and iridium pattern whose length was used until 1960 as a subway definition in the SI.

In the International System of Units the fundamental unit of length is the meter, defined as the distance that light travels in a vacuum during an interval of 1/299 792 458 of a second. The symbol for the meter is "m », never admitting plural, capital letter or period, as it is not an abbreviation.

Multiples and submultiples of the meter

Using the SI prefixes it is possible to define units of length that are multiples or submultiples of the meter. Listed below are the multiples and submultiples of the meter, accepted within the SI, along with its symbol and its equivalence in meters, in scientific and decimal notation.

Multiple metro
Symbol Name Metros Metros
Ym Yottametro 10241 000 000 000 000 000 000 000
Zm zettametro 10211 000 000 000 000 000 000
Em Diameter 10181 000 000 000 000 000 000
Pm petameter 10151 000 000 000 000 000
Tm Thermal 10121 000 000 000 000
Gm gigameter 1091 000 000 000
Mm. meter 1061 000
km kilometer 1031 000
hm hectometer 102100
dam decameter 10110
Undergrounds
Symbol Name Metros Metros
dm decimeter 10-10.1
cm centimeter 10-20.01
mm millimeter 10-30.001
μm micrometer 10-60,000 001
nm nanometer 10-90,000 000 001
pm picometer 10-120,000 000 000 001
fm femometer 10-150,000 000 000 000 001
am Attometer 10-180,000 000 000 000 000 001
zm zeptometer 10-210,000 000 000 000 000 000 000 001
ym Yoctometer 10-240,000 000 000 000 000 000 000 000 001

Unofficial multiples and submultiples in the SI

There are some multiples and submultiples of the meter that are not officially part of the International System of Units. These are:

Symbol Name Description
Å Angstrom Equivalent to 10-10m or 100 pm is used in spectroscopy to measure the wavelength of X-rays.
Ma Miriameter Equivalent to 10 000 m or 10 km, now considered obsolete in the metric system.
Micra Common name obsolete for micrometer (μm).
Fermi Equivalent to 1 fm, used before the definition of SI prefixes.
Unit X Used for measuring the wavelength of X-rays and gamma rays. It is approximately 100 fm.

Anglo-Saxon system of units

1 league3 miles24 furlong 240 chains960 rods 5280 yards15 840 feet190 080 inches 1.9008x108 thousands4,828032 km
1 mile8 furlongs80 chains 320 rods1 760 yards5 280 feet 63 360 inches6,336x107 thousands1,609344 km
1 furlong (stage)10 chains40 rods 220 yards660 feet 7 920 inches7.92x106 thousands201,168 m
1 chain4 rolls22 yards66 feet792 inches792 00020,1168 m
1 roll (vara)5.5 yards16.5 feet 198 inches198 0005,0292 m
1 yard3 feet36 inches 36 000 0000,9144 m
1 foot12 inches 12 00030,48 cm
1 inch1 000 0002.54 cm
1 0000.0254 mm

Nautical system

1 degree of latitude20 nautical leagues 60 nautical miles607,5 cables60 750 fathoms 121 500 yards364 500 feet111,0996 km
1 nautical league3 nautical miles 30,375 cables3 037.5 fathoms6 075 yards 18 225 feet5 558 meters
1 mile nautical10 cables 1 012,6859 fathoms2 025,372 yards6 076,115 feet1 852 meters
1 cable100 fathoms200 yards600 feet182.88 metres
1 fathom (chuckles)2 yards6 feet1,82886 meters
1 yard3 feet

Astronomical units

Symbol Name m
UA Astronomical unit 1,495979·1011
ly light year 9,46052840488·1015
pc parasect 3,08568·1016

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