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SI units

 

Système International d'Unités: the international system of units now recommended for all scientific purposes. A coherent and rationalized system of units derived from the m.k.s. units, SI units have now replaced c.g.s. units and Imperial units. The system has seven base units and two dimensionless units (formerly called supplementary units), all other units being derived from these nine units. There are 18 derived units with special names. Each unit has an agreed symbol (a capital letter or an initial capital letter if it is named after a scientist, otherwise the symbol consists of one or two lower-case letters). Decimal multiples of the units are indicated by a set of prefixes; whenever possible a prefix representing 10 raised to a power that is a multiple of three should be used.

Base and dimensionless SI units
Physical quantityNameSymbol
lengthmetrem
masskilogramkg
timeseconds
electric currentampereA
thermodynamic temperaturekelvinK
luminous intensitycandelacd
amount of substancemolemol
*plane angleradianrad
*solid anglesteradiansr
*dimensionless units

Derived SI units with special names
Physical quantityName of SI unitSymbol of SI unit
frequencyhertzHz
energyjouleJ
forcenewtonN
powerwattW
pressurepascalPa
electric chargecoulombC
electric potential differencevoltV
electric resistanceohmΩ
electric conductancesiemensS
electric capacitancefaradF
magnetic fluxweberWb
inductancehenryH
magnetic flux density (magnetic induction)teslaT
luminous fluxlumenlm
illuminanceluxlx
absorbed dosegrayGy
activitybecquerelBq
dose equivalentsievertSv

Decimal multiples and submultiples to be used with SI units
SubmultiplePrefixSymbolMultiplePrefixSymbol
10−1decid10decada
10−2centic102hectoh
10−3millim103kilok
10−6microμ106megaM
10−9nanon109gigaG
10−12picop1012teraT
10−15femtof1015petaP
10−18attoa1018exaE
10−21zeptoz1021zettaZ
10−24yoctoy1024yottaY

Conversion of units to SI units
FromToMultiply by
inm2.54 × 10−2
ftm0.3048
sq. inm26.4516 × 10−4
sq. ftm29.2903 × 10−2
cu. inm31.63871 × 10−5
cu. ftm32.83168 × 10−2
l(itre)m310−3
gal(lon)l(itre)4.546 09
miles/ hrm s−10.477 04
km/ hrm s−10.277 78
lbkg0.453 592
g cm−3kg m−3103
lb/ in3kg m−32.767 99 × 104
dyneN10−5
poundalN0.138 255
lbfN4.448 22
mmHgPa133.322
atmospherePa1.013 25 × 105
hpW745.7
ergJ10−7
eVJ1.602 10 × 10−19
kW hJ3.6 × 106
calJ4.1868



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(Système International d'Unites; International System of Units) A system of standard units of measurement finalized at the 14th General Conference on Weights and Measures in 1971. It is based on seven units of measure, including three from the MKS system (meter-kilogram-second), the ampere for electrical current, the Kelvin for temperature, the candela for luminosity and the mole for molecular weight. See MKS system, amp, Kelvin, candela and mole.

   BASIC SI UNITS

   Quantity        Unit of Measurement
   length (l)      meter (m)
   mass (m)        kilogram (kg)
   time (t)        second (s)
   current (I)     ampere (A)
   temperature     kelvin (K)
   atomic weight   mole (mol)
   luminosity      candela (cd) 


   DERIVED SI UNITS

   Quantity             Unit of Measurement
   force (f)            newton (N)
   work (W)             joule (J)
   power (P)            watt (W)
   pressure (P)         pascal (pa)
   frequency (f)        Hertz (Hz)
   electric charge (Q)  coulomb (C)
   potential (V)        volt (V)
   capacitance (C)      Farad (F)
   resistance (R)       ohm

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