Exhibit 1 – Dimensions and units of measurement
The following table (Table E1.1) shows the dimensions of a variety of physical quantities
in terms of the basic units mass, length, time (M,L,T) or force, length, time (F,L,T). The
table also shows the preferred units for those quantities in both the International System
(S.I.) and the English System (E.S.) of units. Additional units commonly used for the
quantities listed are shown in the last column of the table.
Table E1.1 – Dimensions and units of measurement
Quantity
Length (L)
Time (T)
Mass (M)
Area (A)
Volume (Vol)
Velocity (V)
Acceleration (a)
Discharge (Q)
Kinematic viscosity (ν)
Force (F)
Pressure (p)
Shear stress (τ)
Density (ρ)
Specific weight (ω)
Energy/Work/Heat (E)
Power (P)
Dynamic viscosity (μ)
Dimensions
(M,L,T)
(F,L,T)
L
L
T
T
M
FT2L -1
L2
L2
L3
L3
LT -1
LT -1
-2
LT
LT -2
L3T -1
L3T -1
2 -1
LT
L2T -1
F
MLT -2
-1 -2
ML T
FL -2
FL -2
ML -1T -2
FT2L -4
ML -3
-2 -2
FL -3
ML T
FL
ML2T -2
FLT -1
ML2T -3
ML -1T -1
FTL -2
Preferred units
S.I.
E.S.
m
ft
s
s
kg
slug
m2
ft2
m3
ft3
m/s
ft/s or fps
m/s2
ft/s2
m3/s
ft3/s or cfs
2
m /s
ft2/s
N
lb
Pa
lb/ft2
Pa
lb/ft2
kg/m3
slug/ft3
3
N/m
lb/ft3
J
lb ft
W
lb ft/s
N s/m2
lb s/ft2
Other
units
in, mi
h, d
Ac
Ac-ft
---St
-psi, atm
psi
---hp
P
The symbols for the units used in Table E1-1 are listed next:
Ac
Ac-ft
atm
cfs
fps
ft
hp
in
J
kg
cfs
: acre, a unit of area
: acre × feet
: atmosphere
: cubic feet per second
: feet per second
: foot or feet
: horse power
: inch
: joule
: kilogram
: cubic feet per second
lb
m
N
mi
P
Pa
psi
s
St
W
Page E1-1
: pound
: meter
: newton
: mile
: poise
: pascal
: pounds per square inch
: second
: stokes
: watt