22
CHAPTER 2. DIMENSIONAL ANALYSIS
Table 2.1: Dimensions of Physical Entities in a Mass System of Units
Physical Quantity or Property
Dimensions
Type of Quantity
Fundamental Quantities
Time..............................................
[T]
Mass ..............................................
[M]
Length ...........................................
[L]
Geometric
Temperature .................................
[0]
Angle ............................................
[1]
(Supplementary)
Derived Quantities
Area ..............................................
[L2]
Geometric
Volume...........................................
[£3]
Geometric
Force ..............................................
[MLT~2]
Dynamic
Specific Weight .............................
[ML~2T~2]
Dynamic
Mass Density .................................
[ML-3]
Pressure and Stress......................
[ML~1T~2]
Dynamic
Velocity .........................................
[LT-1]
Kinematic
Acceleration..................................
[LT~2]
Kinematic
Angular Velocity ..........................
P1-1]
Angular Acceleration ...................
IT~2]
Frequency ......................................
F’1]
Volumetric Flow Rate .................
[L3T-1]
Kinematic
Energy, Work ...............................
[ML2T~2]
Dynamic
Momentum....................................
[MLT-i]
Dynamic
Power .............................................
[ML2T~3]
Dynamic
Moment of a Force ......................
[ML2T~2]
Dynamic
Dynamic Coefficient of Viscosity .
[ML-1?-1]
Dynamic
Kinematic Coefficient of Viscosity
[L2T-1]
Kinematic
Area Moment of Inertia ..............
[i4]
Geometric
Mass Moment of Inertia ..........
[ML2]
Surface Tension ............................
[MT’2]
Modulus of Elasticity ...................
[ML-'T-2]
Dynamic
□train ...............................
[1]
Dimensionless
Poisson’s Ratio ........................
[1]
Dimensionless