length - Maple Help

Units of Length

Description

 • Length is a base dimension in the International System of Units. The SI unit of length is the meter, defined as the length of the path traveled by light in vacuum during a time interval of $\frac{1}{299792458}$ second (17th CGPM, 1983).
 • Maple knows the units of length listed in the following table.

 Name Symbols Context Alternate Spellings Prefixes meter m SI * meters, metre, metres SI bohr a0 Atomic * bohrs mil standard * mils US_survey line standard * lines US_survey barleycorn standard * barleycorns US_survey digit standard * digits US_survey inch in standard * inches US_survey nail standard * nails US_survey palm standard * palms US_survey hand standard * hands US_survey finger standard * fingers US_survey span standard * spans US_survey foot ft standard * feet US_survey cubit standard * cubits US_survey step standard * steps US_survey yard yd standard * yards US_survey ell standard * ells US_survey pace standard * paces US_survey fathom standard * fathoms US_survey rod standard * rods US_survey pole standard * poles US_survey perch standard * perches US_survey furlong standard * furlongs US_survey mile mi standard * miles US_survey league standard * leagues US_survey link Gunter * links Gunter_US_survey Ramsden Ramsden_US_survey chain Gunter * chains Gunter_US_survey Ramsden Ramsden_US_survey chain UK_nautical * chains cable US_nautical * cables UK_nautical mile nautical * miles league nautical * leagues point printer * points computer TeX pica printer * picas computer TeX astronomical_unit AU, UA standard * astronomical_units parsec pc standard * parsecs SI light_year ly Julian * light_years SI tropical SI hubble Julian * hubbles tropical spat standard * spats angstrom Ao standard * angstroms fermi standard * fermis micron standard * microns bicron standard * bicrons x_unit copper * x_units molybdenum * microinch standard * microinches calibre standard * calibres, caliber, calibers marathon standard * marathons quadrant standard * quadrants electrical arpent PQ_area PQ_length handbreadth Sacred * handbreadths Talmudic nautical_mile SI * nautical_miles planck_length planck * planck_lengths

 An asterisk ( * ) indicates the default context, an at sign (@) indicates an abbreviation, and under the prefixes column, SI indicates that the unit takes all SI prefixes, IEC indicates that the unit takes IEC prefixes, and SI+ and SI- indicate that the unit takes only positive and negative SI prefixes, respectively.  Refer to a unit in the Units package by indexing the name or symbol with the context, for example, meter[SI] or ft[standard]; or, if the context is indicated as the default, by using only the unit name or symbol, for example, meter or ft.
 The units of length are defined as follows.
 A bohr is defined as $5.291772573×{10}^{-11}$ meter.
 • For each of the following units, there is defined both a standard and US survey unit, each being the appropriate inch.
 A standard inch is defined as $2.54$ centimeters.
 A US survey inch is defined such that a meter is 39.37 US survey inches.
 A mil is defined as $\frac{1}{1000}$ inch.
 A line is defined as $\frac{1}{12}$ inch.
 A barleycorn is defined as $\frac{1}{3}$ inch.
 A digit is defined as $0.75$ inch.
 A nail is defined as $2.25$ inches.
 A palm is defined as $3$ inches.
 A hand is defined as $4$ inches.
 A finger is defined as $4.5$ inches.
 A span is defined as $9$ inches.
 A foot is defined as $12$ inches.
 A cubit is defined as $1.5$ feet.
 A step is defined as $2.5$ feet.
 A yard is defined as $3$ feet.
 An ell is defined as $3.75$ feet.
 A pace is defined as $5$ feet.
 A fathom is defined as $6$ feet.
 The rod, pole, and perch are defined as $16.5$ feet.
 A furlong is defined as $660$ feet.
 A mile is defined as $5280$ feet.
 A league is defined as $3$ miles.
 A Gunter chain is defined as $66$ feet.
 A Gunter link is defined as $\frac{1}{100}$ Gunter chain.
 A Ramsden chain is defined as $100$ feet.
 A Ramsden link is defined as $\frac{1}{100}$ Ramsden chain, or $1$ foot.
 • For the following units, the context of the inch, foot, and mile is standard.
 A UK nautical chain is defined as $15$ feet.
 A US nautical cable is defined as $720$ feet.
 A UK nautical cable is defined as $\frac{1}{10}$ nautical mile.
 A nautical mile is defined as $1852$ metres.
 A nautical league is defined as $3$ nautical miles.
 A printer's point is defined as $0.013837$ inch.
 A computer point is defined as $\frac{1}{72}$ inch.
 A TeX point is defined such that there are $72.27$ points in an inch.
 A pica is defined as $12$ points of the corresponding context.
 An astronomical unit is defined as $149597870691$ meters.
 A parsec is defined as a parallax second based on the astronomical unit.
 A Julian or tropical light year is defined as the distance light travels in $1$ Julian or tropical year.
 A Julian or tropical hubble is defined as $1.×{10}^{9}$ Julian or tropical light years.
 A spat is defined as $1.×{10}^{12}$ meters, or $1$ terameter.
 An angstrom is defined as $1.×{10}^{-10}$ meters, or $100$ picometers.
 A fermi is defined as $1.×{10}^{-15}$ meters, or $1$ femtometer.
 A micron is another term for a micrometer.
 A bicron is another term for a picometer.
 The copper and molybdenum x-units are approximately $1.00207789×{10}^{-13}$ and $1.00209938×{10}^{-13}$ meters, respectively.
 A microinch is defined as $1.×{10}^{-6}$ inch.
 A calibre is defined as $\frac{1}{100}$ inch.
 A marathon is defined as $26$ miles and $385$ yards.
 A quadrant is defined as $1.×{10}^{7}$ meters.
 A electrical quadrant is defined as $1.×{10}^{-11}$ meter.
 A planck length is defined as the square root of: the planck constant times the Newtonian gravitational constant, divided by twice $\mathrm{\pi }$ times the third power of the speed of light.

Examples

 > $\mathrm{convert}\left('\mathrm{meter}','\mathrm{dimensions}'\right)$
 ${\mathrm{length}}$ (1)
 > $\mathrm{convert}\left(1,'\mathrm{units}','\mathrm{feet}','\mathrm{meters}'\right)$
 $\frac{{381}}{{1250}}$ (2)
 > $\mathrm{convert}\left(5.2,'\mathrm{units}','\mathrm{light_years}','\mathrm{meters}'\right)$
 ${4.919579846}{×}{{10}}^{{16}}$ (3)