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Home | Contents | 1-3 Science | 4.1 Experiments | 4.2 Units | 4.3 Measurement | 4.4 Safety | 5 Data | 6-7 Reports | 8 Appendix

VCS Science Handbook Section 8

8.0.0 Appendix

  • 8.1.0 Derived units
    • • Quantities defined in terms of the base quantities are known as derived quantities and are measured using derived units (see section 4.2.2 Derived Units).
    • • Some of the derived units have special names (designated by an * in Table 12).
    • • Celsius temperature (t) is related to thermodynamic temperature (T) by the following equation:
t (°C ) = T (K) – 273.15
Table 12: Examples of derived quantities, derived units, and equivalents
Derived Quantity
Quantity Symbol
Derived Unit
Unit Symbol
Acceptable Equivalent
acceleration
a
meter per second squared
m/s2

area
A
square meter
m2

capacitance
C
*farad
F
C/V = m2 kg-1 s4 A2
Celsius temperature
t
*degree Celsius
°C

concentration
c
mole per cubic meter
mol/m3
current density
j
ampere per square meter
A/m2

density, mass density
ρ
kilogram per cubic meter
kg/m3
g/L; mg/cm3
dipole moment (electrical)

coulomb meter
C m

electric charge, amount of electricity
Q
*coulomb
C
s A
electric field strength
E
volt per meter
V/m

electric flux density
D
coulomb per square meter
C/m2

electric potential difference
V
*volt
V
W/A = m2 kg s-3 A-1
electric resistance
R
*ohm
Ω
V/A = m2 kg s-3 A-2
energy, work, amount of heat
E
*joule
J
N m = m2 kg s-2
force
F
*newton
N
m kg s-2
frequency
f, ν
*hertz
Hz
s-1
heat capacity
C
joule per kelvin
J/K

heat capacity, specific
C or c
joule per kilogram kelvin
J/(kg K)

illuminance
EV
*lux
lx
lm/m2 = cd/m2
luminous flux
F
*lumen
lm
cd sr = cd
magnetic field strength
H
ampere per meter
A/m

magnetic flux
Φm
*weber
Wb
V s = m2 kg s-2 A-1
magnetic flux density
B
*tesla
T
Wb/m2 = kg s-2 A-1
plane angle

*radian
rad
m/m = 1
power, radiant flux
P
*watt
W
J/s = m2 kg s-3
pressure, stress
p
*pascal
Pa
N/m2 = m-1 kg s-2
solid angle

*steradian
sr
m2/m2 = 1
specific volume
v
cubic meter per kilogram
m3/kg

velocity
υ
meter per second
m/s

volume
V
cubic meter
m3

wave number
σ
reciprocal meter
m-1

wavelength
λ
meter
m


  • 8.2.0 Non-SI units
    • • Some non-SI units are still widely used and usually defined in terms of SI units (see Table 13).
Table 13: Non-SI units
Quantity
Unit
Unit Symbol
Relation to SI
energy
electronvolt
eV
1 eV ≈ 1.602 x 10-19 J

erg
erg
1 erg = 10-7 J
force
dyne
dyn
1 dyn = 10-5 N
length
ångström
Å
1Å = 10-10 m
pressure
bar
bar
1 bar = 100 kPa

millimeter of mercury
mmHg
1 mmHg ≈ 133.3 Pa
time
minute
min
1 min = 60 s

hour
h
1 hour = 3600 s

day
d
1 day = 86,400 s
volume
liter
L or l
1 L = 1 dm3