Introduction to Steam Turbines and Pumps

International System of Units

The structure of the International System of Units (SI)

The structure of the International System of Units (SI)

SI units

Base units

Quantity Name of unit Symbol
length meter m
mass kilogram kg
time second s
electric current ampere A
thermodynamic temperature (1) kelvin K
amount of substance mole mol
luminous intensity candela cd

Supplementary units

Quantity Name of unit Symbol
plane angle radian rad
solid angle steradian sr

Derived units expressed as a compound of the base units

Quantity Name of unit Symbol
area square meter m2
volume cubic meter m3
speed, velocity meter per second m/s
acceleration meter per second squared m/s2
mass density kilogram per cubic meter kg/m3
specific volume cubic meter per kilogram m3/kg
wave number reciprocal meter m-1
electric current density ampere per square meter A/m2
magnetic field strength ampere per meter A/m
amount -of-substance concentration mole per cubic meter mol/m3
luminance candela per square meter cd/m2

Derived units with special names and symbols

Quantity Name of unit Symbol Expressions in terms of base units, supplementary units and other SI units
frequency hertz Hz 1 Hz = 1 s-1
force newton N 1 N = 1 kg・m/s2
pressure, stress pascal Pa 1 Pa = 1 N/m2
power, rate of production, motive power, electric power watt W 1 W = 1 J/s
Celsius temperature degree Celsius, or degree t℃ = TK-273.15K
energy, work, quantity of heat joule J 1J = 1 N・m
electric charge, quantity of electricity coulomb C 1C = 1 A・s
electric potential, electric potential difference, voltage, electromotive force volt V 1V = 1 J/C
electric capacitance farad F 1F = 1 C/V
(electric) resistance ohm 1Ω = 1 V/A
(electric) conductance siemens S 1S = 1Ω-1
magnetic flux weber Wb 1Wb = 1 V・s
magnetic flux density, magnetic induction tesla T 1T = 1Wb/m2
inductance henry H 1H = 1 Wb/A
luminous flux lumen lm 1lm = 1cd・sr
illuminance lux lx 1lx = 1 lm/m2

Prefixes

Factor Prefix
Name Symbol
1018 exa E
1015 peta P
1012 tera T
109 giga G
106 mega M
103 kilo k
102 hecto h
10 deka da
10-1 deci d
10-2 centi c
10-3 milli m
10-6 micro
10-9 nano n
10-12 pico p
10-15 femto f
10-18 atto a

Units outside the SI

Units accepted for use with the SI because of their practical importance

Quantity Name Symbol Definition
time minute
hour
day
min
h
d
1 min = 60s
1 h = 60min
1 d = 24h
plane angle degree of arc
minute of arc
second of arc
0
'
"
10= (n/180)rad
1 " = (1/60)0
1" = (1/60)'
volume liter l, L (N.B.) 1l= 1 dm3
mass metric ton t 1t = 103kg

N.B. L may be used where l may be confused with something else.

Units accepted for use with the SI in specialist areas

Quantity Name Symbol Definition
fluid pressure bar bar 1 bar = 105Pa
energy electronvolt eV (modern version) 1eV = 1.6021892 X 10-19J
atomic mass unified atomic mass unit (modern version) 1μ = 1.6605655 X 10-27kg
length astronomical unit AU
pc
1 AU = 149597.870 X 106m
(modern version) 1pc = 206 265 AU = 30857 X 1012m
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