Dimensions: Dimensions are the basic concepts of measurement. Ex; such as length, time, T, P, etc.
Units: Units are means of expressing the dimensions.
Dimensions à Force Length Time
Units à N m, ft, cm, h, min, s,
Basic Units: Units dimensionally independent, used for only one dimension. Ex; kg for mass, s for time,
Derived Units: Derived units are combination of various dimensions.
Ex; in SI; Pressure: kg/m.s2 Pa(Pascal)
density: kg/m3, heat capacity: Btu/1bm ºF
System |
B.E |
A.E |
cgs |
M.K.S. |
S.I. |
Length |
foot |
foot |
cm |
m |
m |
Mass |
slug |
Ibm |
g |
kg |
kg |
Time |
second |
s |
s |
s |
s |
Temp |
ºF |
ºF |
ºC |
ºC |
ºK |
Heat |
Btu |
Btu |
Cal |
Kcal |
Kcal |
Force |
Ibf |
Ibf |
dyne |
Newton |
N |
Amount of Substance |
Ibmole |
Ibmole |
g mole |
kg mole |
kg mole |
454 g = 1 Ibm 2.54 cm = 1 in 1 ft = 12 in
(Ib ; pound) (Btu; British thermal units)
Conversion of Units
Ex: Convert 20 gal/h to m3/s.
7.48 gal = 1 ft3 1 h = 3600 s 1 ft = 12 in
35.31 ft3 = 1 m3 1 in = 2.54 cm 1 m = 100 cm
…