Conversion of units is the conversion between different units of measurement for the same quantity, typically through multiplicative conversion factors.
TechniquesEdit
The process of conversion depends on the specific situation and the intended purpose. This may be governed by regulation, contract, technical specifications or other published standards. Engineering judgment may include such factors as:
Some conversions from one system of units to another need to be exact, without increasing or decreasing the precision of the first measurement. This is sometimes called soft conversion. It does not involve changing the physical configuration of the item being measured.
By contrast, a hard conversion or an adaptive conversion may not be exactly equivalent. It changes the measurement to convenient and workable numbers and units in the new system. It sometimes involves a slightly different configuration, or size substitution, of the item.[clarification needed] Nominal values are sometimes allowed and used.
Conversion factorsEditA conversion factor is used to change the units of a measured quantity without changing its value. The unity bracket method of unit conversion[1] consists of a fraction in which the denominator is equal to the numerator, but they are in different units. Because of the identity property of multiplication, the value of a number will not change as long as it is multiplied by one.[2]Also, if the numerator and denominator of a fraction are equal to each other, then the fraction is equal to one. So as long as the numerator and denominator of the fraction are equivalent, they will not affect the value of the measured quantity.
Software toolsEditThere are many conversion tools. They are found in the function libraries of applications such as spreadsheets databases, in calculators, and in macro packages and plugins for many other applications such as the mathematical, scientific and technical applications.
There are many standalone applications that offer the thousands of the various units with conversions. For example, the free software movement offers a command line utility GNU units for Linux and Windows.
Tables of conversion factorsEditThis article gives lists of conversion factors for each of a number of physical quantities, which are listed in the index. For each physical quantity, a number of different units (some only of historical interest) are shown and expressed in terms of the corresponding SI unit. Conversions between units in the metric system are defined by their prefixes (for example, 1 kilogram = 1000 grams, 1 milligram = 0.001 grams) and are thus not listed in this article. Exceptions are made if the unit is commonly known by another name (for example, 1 micron = 10−6 metre). Within each table, the units are listed alphabetically, and the SI units (base or derived) are highlighted.
Legend Symbol Definition ≡ ≈ digits (H)exactly equal |
approximately equal to |
indicates that digits repeat infinitely (e.g. 8.294369 corresponds to 8.294369369369369…) |
of chiefly historical interest |
ångström | Å | ≡ 1×10−10 m | ≡ 0.1 nm |
astronomical unit | AU | ≡ 149597870700 m ≈ Distance from Earth to Sun | ≡ 149597870700 m [3] |
barleycorn (H) | = 1⁄3 in (see note above about rounding) | ≈ 8.46×10−3 m | |
bohr, atomic unit of length | a0 | = Bohr radius of hydrogen | ≈ 5.2917721092(17)×10−11 m[4] |
cable length (imperial) | ≡ 608 ft | ≈ 185.3184 m | |
cable length (International) | ≡ 1⁄10 nmi | ≡ 185.2 m | |
cable length (US) | ≡ 720 ft | = 219.456 m | |
chain (Gunter's; Surveyor's) | ch | ≡ 66 ft (US) ≡ 4 rods [5] | ≈ 20.11684 m |
cubit (H) | ≡ Distance from fingers to elbow ≈ 18 in | ≈ 0.5 m | |
ell (H) | ell | ≡ 45 in [6] (In England usually) | = 1.143 m |
fathom | ftm | ≡ 6 ft [6] | = 1.8288 m |
fermi | fm | ≡ 1×10−15 m[6] | ≡ 1×10−15 m |
finger | ≡ 7⁄8 in | = 0.022225 m | |
finger (cloth) | ≡ 4 1⁄2 in | = 0.1143 m | |
foot (Benoît) (H) | ft (Ben) | ≈ 0.304799735 m | |
foot (Cape) (H) | Legally defined as 1.033 English feet in 1859 | ≈ 0.314858 m | |
foot (Clarke's) (H) | ft (Cla) | ≈ 0.3047972654 m | |
foot (Indian) (H) | ft Ind | ≈ 0.304799514 m | |
foot, metric | mf | ≡ √1⁄10m[citation needed] | ≈ 0.31622776602 m |
foot, metric (long) | lmf | ≡ 1⁄3 m | ≈ 0.3 m |
foot, metric (short) | smf | ≡ 0.30 m | ≡ 0.30 m |
foot (International) | ft | ≡ 0.3048 m ≡ 1⁄3yd ≡ 12 inches | ≡ 0.3048 m |
foot (Sear's) (H) | ft (Sear) | ≈ 0.30479947 m | |
foot (US Survey) | ft (US) | ≡ 1200⁄3937 m [7] | ≈ 0.304800610 m |
french; charriere | F | ≡ 1⁄3 mm | = 0.3 ×10−3 m |
furlong | fur | ≡ 10 chains = 660 ft = 220 yd [6] | = 201.168 m |
hand | ≡ 4 in [6] | ≡ 0.1016 m | |
inch (International) | in | ≡ 2.54 cm ≡ 1⁄36 yd ≡ 1⁄12 ft | ≡ 0.0254 m |
league (land) | lea | ≈ 1 hour walk, Currently defined in US as 3 Statute miles,[5] but historically varied from 2 to 9 km | ≈ 4828 m |
light-day | ≡ 24 light-hours | ≡ 2.59020683712×1013 m | |
light-hour | ≡ 60 light-minutes | ≡ 1.0792528488×1012 m | |
light-minute | ≡ 60 light-seconds | ≡ 1.798754748×1010 m | |
light-second | ≡ Distance light travels in one second in vacuum | ≡ 299792458 m | |
light-year | ly | ≡ Distance light travels in vacuum in 365.25 days [8] | = 9.4607304725808×1015 m |
line | ln | ≡ 1⁄12 in [9] | = 0.002116 m |
link (Gunter's; Surveyor's) | lnk | ≡ 1⁄100 ch [6] ≡ 0.66 ft (US) ≡ 7.92 in | ≈ 0.2011684 m |
link (Ramsden's; Engineer's) | lnk | ≡ 1 ft [6] | = 0.3048 m |
metre (SI base unit) (meter) | m | ≡ Distance light travels in 1⁄299792458 of a second in vacuum.[10] ≈ 1⁄10000000 of the distance from equator to pole. | ≡ 1 m |
mickey | ≡ 1⁄200 in | = 1.27×10−4 m | |
micrometre (old: micron) | μ; μm | ≡ 1×10−6 m | |
mil; thou | mil | ≡ 1×10−3 in | ≡ 2.54×10−5 m |
mil (Sweden and Norway) | mil | ≡ 10 km | = 10000 m |
mile (geographical) (H) | ≡ 6082 ft | = 1853.7936 m | |
mile (international) | mi | ≡ 80 chains ≡ 5280 ft ≡ 1760 yd | ≡ 1609.344 m |
mile (tactical or data) | ≡ 6000 ft | ≡ 1828.8 m | |
mile (telegraph) (H) | mi | ≡ 6087 ft | = 1855.3176 m |
mile (US Survey) | mi | ≡ 5280 US Survey feet ≡ (5280 × 1200⁄3937) m | ≈ 1609.347219 m |
nail (cloth) | ≡ 2 1⁄4 in [6] | = 0.05715 m | |
nanometre | nm | ≡ 1×10−9 m | ≡ 1×10−9 m |
nautical league | NL; nl | ≡ 3 nmi [6] |