Units of Length - Maple Help

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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 1299792458 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 5.29177257310-11 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 11000 inch.

  

A line is defined as 112 inch.

  

A barleycorn is defined as 13 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 1100 Gunter chain.

  

A Ramsden chain is defined as 100 feet.

  

A Ramsden link is defined as 1100 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 110 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 172 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 1.109 Julian or tropical light years.

  

A spat is defined as 1.1012 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 1.0020778910-13 and 1.0020993810-13 meters, respectively.

  

A microinch is defined as 0.000001 inch.

  

A calibre is defined as 1100 inch.

  

A marathon is defined as 26 miles and 385 yards.

  

A quadrant is defined as 1.107 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 π times the third power of the speed of light.

Examples

convert'meter','dimensions'

length

(1)

convert1,'units','feet','meters'

3811250

(2)

convert5.2,'units','light_years','meters'

4.9195798461016

(3)

See Also

convert/dimensions, convert/units, Units, Units/Index


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