Unit of length
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A unit of length refers to any arbitrarily chosen and accepted reference standard for measurement of length. The most common units in modern use are the
Metric system
SI
The
Non-SI
In the
Name | Symbol | SI value |
---|---|---|
fermi | fm | femtometer
|
ångström
|
Å | 100 picometers
|
micron | μm | 1 micrometer |
myriameter
|
10,000 meters | |
x unit | xu | 0.1 picometer |
Imperial/U.S.
The basic unit of length in the imperial and U.S. customary systems is the yard, defined as exactly 0.9144 m by international treaty in 1959.[2][5]
Common imperial units and U.S. customary units of length include:[6]
- thouor mil (1⁄1000 of an inch)
- inch (25.4 mm)
- foot (12 inches, 0.3048 m)
- yard (3 feet, 0.9144 m)
- (terrestrial) mile (5280 feet, 1609.344 m)
- (land) league 3 miles (4,800 m)
Marine
In addition, the following are used by sailors:
- fathom (for depth; only in non-metric countries) (2 yards = 1.8288 m)
- nautical mile (one minute of arc of latitude = 1852 m)
Aviation
Surveying
Surveyors in the United States continue to use:
- chain (22 yards, or 20.1168 m)
- rod (also called pole or perch) (quarter of a chain, 51⁄2 yards, or 5.0292 m)
Building trades
The Australian building trades adopted the
Surveyor's trade
American surveyors use a decimal-based system of measurement devised by Edmund Gunter in 1620. The base unit is Gunter's chain of 66 feet (20 m) which is subdivided into 4 rods, each of 16.5 ft or 100 links of 0.66 feet. A link is abbreviated "lk", and links "lks", in old deeds and land surveys done for the government.
Science
Astronomy
Astronomical measure uses:
- Earth radius R🜨 ≈ 6,371 km[9]
- Lunar distance LD ≈ 384402 km.[10]Average distance between the center of Earth and the center of the Moon.
- astronomical unit au. Defined as 149597870700 m.[11] Approximately the distance between the Earth and Sun.
- light-year ly ≈ 9460730472580.8 km. The distance that light travels in a vacuum in one Julian year.[12]
- parsec pc ≈ 30856775814671.9 km or about 3.26156 ly
- Hubble length 14.4 billion light-years or 4.55 gigaparsecs
Physics
In atomic physics, sub-atomic physics, and cosmology, the preferred unit of length is often related to a chosen fundamental physical constant, or combination thereof. This is often a characteristic radius or wavelength of a particle. Some common natural units of length are included in this table:
Atomic property | Symbol | Length, in meters | Reference |
---|---|---|---|
The classical electron radius | re | 2.817940285(31)×10−15 | [13] |
The Compton wavelength of the electron | λC | 2.426310215(18)×10−12 | [13] |
The reduced Compton wavelength of the electron | 3.8615926764(18)×10−13 | [14] | |
The Compton wavelength (or reduced Compton wavelength) of any fundamental particle | |||
The Atomic unit of length)
|
a0 | 5.291772083(19)×10−11 | [13] |
The reduced wavelength of hydrogen radiation | 1 / R∞ | 9.112670505509(83)×10−8 | [13] |
The Planck length
|
𝓁P | 1.616199(97)×10−35 | [15] |
Stoney unit of length | lS | 1.381×10−35 | |
Quantum chromodynamics (QCD) unit of length | lQCD | 2.103×10−16 | |
Natural units based on the electronvolt | 1 eV−1 | 1.97×10−7 |
Archaic
Archaic units of distance include:
- cana
- cubit
- rope
- league
- li (China)
- pace (the "double pace" of about 5 feet used in Ancient Rome)
- verst (Russia)
Informal
In everyday conversation, and in informal literature, it is common to see lengths measured in units of objects of which everyone knows the approximate width. Common examples are:
- Double-decker bus (9.5–11 meters in length)
- Football field (100 yards in length)
- Thickness of a human hair (around 80 micrometers)
Other
Horse racing and other equestrian activities keep alive:
- furlong = 1⁄8 mile (201.168 m)
- horse length ≈ 8 feet (2.4 m)
See also
- List of conversion factors § Length
- List of examples of lengths
- List of unusual units of measurement § Length
- Medieval weights and measures
- Orders of magnitude (length)
- System of measurement
- Units of measurement
References
- ISBN 9781852336820.
- ^ ISBN 9781885073723.
- ^ Judson, Lewis Van Hagen (1960). Units of Weight and Measure (United States Customary and Metric): Definitions and Tables of Equivalents, Issue,233. U.S. Department of Commerce, National Bureau of Standards. pp. 3–4. Retrieved 16 October 2012.
- ^ "17th General Conference on Weights and Measures (1983), Resolution 1". Retrieved 2012-09-19.
- ISBN 978-0198605225. Retrieved 8 January 2012.
- ^ Cardarelli 2003, pp. 29–30
- OCLC 27702954.
- ^ "Metrication in Australia" (PDF).
- S2CID 195290884.
- JSTOR 10.1086/596748.
- ^ Geoff Brumfiel (14 Sep 2012). "The astronomical unit gets fixed: Earth–Sun distance changes from slippery equation to single number". Retrieved 14 Sep 2012.
- ^ The IAU and astronomical units, International Astronomical Union, retrieved 2008-07-05
- ^ ISBN 9781586031671.
- ^ "Compton wavelength over 2 pi". The NIST Reference on Constants, Units, and Uncertainty. NIST. Retrieved 15 October 2012.
- NIST. Retrieved 15 October 2012.
Further reading
- Whitelaw, Ian (2007). A Measure of All Things: The Story of Man and Measurement. Macmillan. ISBN 9780312370268.