SwedeTeam More Details on SI Units

Seven bases units (Table 1), growing number of Derived SI Units with Special Names and Symbols (Table 2), and Examples of Units including SI Units (Table 3).

Table 1: Base Units (Seven)

Physical quantity Name Symbol
Length, distance meter m
Mass, weight kilogram kg
Time second s
Electric current ampere A
Thermodynamic temperature kelvin K
Amount of substance mole mol
Luminous intensity candela cd


Table 2: Derived SI Units with Special Names and Symbols

Physical quantity Name Symbol Dimensions of unit
derived base
Plane angle radian rad   m · m–1 = 1
Solid angle steradian sr   m2 · m–2 = 1
Celsius temperature degree Celsius °C   K
Electric capacitance farad F C/V m–2 · kg–1 · s4 · A2
Electric charge coulomb C   s · A
Electric conductance siemens S A/V m–2 · kg–1 · s3 · A2
Electric potential difference volt V W/A m2 · kg · s–3 · A–1
Electric resistance ohm omega V/A m2 · kg · s–3 · A–2
Energy joule J N · m m2 · kg · s–2
Force newton N   m · kg · s–2
Frequency hertz Hz   s–1
Illuminance lux lx lm/m2 m2 · m–4 · cd = m–2 · cd
Inductance henry H Wb/A m2 · kg · s–2 · A–2
Luminous flux lumen lm cd · sr m2 · m–2 · cd = cd
Power watt W J/s m2 · kg · s–3
Pressure pascal Pa N/m2 m–1 · kg · s–2
Magnetic flux weber Wb V · s m2 · kg · s–2 · A–1
Magnetic flux density tesla T Wb/m2 kg · s–2 · A–1
Activity (referred
to a radionuclide)
becquerel Bq   s–1
Absorbed dose, specific
energy (imparted), kerma
gray Gy J/kg m2 · s–2
Dose equivalent,
ambient dose equivalent,
directional dose equivalent,
personal dose equivalent,
organ equivalent dose
sievert Sv J/kg m2 · s–2
Catalytic activity katal kat   s–1 · mol


Table 3: Examples of Units including SI Units

Physical quantity Name Symbol Dimensions of unit
dynamic viscosity pascal second Pa s m1 kg s1
moment of force newton metre N m m2 kg s2
surface tension newton per metre N/m kg s2
angular velocity radian per second rad/s m m1 s1 = s1
rad/s2 m m1 s2 = s2
W/m2 kg s3
m2 kg s2 K1
m2 s2 K1
joule per kilogram J/kg m2 s2
watt per metre kelvin W/(m K) m kg s3 K1
joule per cubic metre J/m3 m1 kg s2
volt per metre V/m m kg s3 A1
coulomb per cubic metre C/m3 m3 s A
coulomb per square metre C/m2 m2 s A
farad per metre F/m m3 kg1 s4 A2
henry per metre H/m m kg s2 A2
joule per mole J/mol m2 kg s2 mol1
joule per mole kelvin J/(mol K) m2 kg s2 K1 mol1
coulomb per kilogram C/kg kg1 s A
gray per second Gy/s m2 s3
watt per steradian W/sr m4 m2 kg s3 = m2 kg s3
watt per square metre steradian W/(m2 sr) m2 m2 kg s3 = kg s3
katal per cubic metre kat/m3 m3 s1 mol


Table 4: Units outside the SI that are accepted for use with the SI

Name Symbol Base SI unit Dimensions of unit
Value in SI units
minute (time) min s (second) 1 min = 60 s
hour (time) h s (second) 1 h = 60 min = 3600 s
day (time) d s (second) 1 d = 24 h = 86 400 s
° rad (radian) 1° = ( pi/180) rad
' rad (radian) 1' = (1/60)° = (pi/10 800) rad
'' rad (radian) 1'' = (1/60)' = (pi/648 000) rad
L m (meter) 1 L = 1 dm3 = 10-3 m3
t kg (kilogram) 1 t = 103 kg
Np - (a ratio) 1 Np = 1 (number one)
B - (a ratio) 1 B = (1/2) ln 10 Np
eV J (Joule) 1 eV = 1.602 18 x 10-19 J, approximately
u kg (kilogram) 1 u = 1.660 54 x 10-27 kg, approximately
ua m (meter) 1 ua = 1.495 98 x 1011 m, approximately

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