How to obtain dimensional equation
It can be obtained by the relations between base quantities & derived quantities. Table below gives the dimensional formulas of a few physical quantities:
|
S. No.
|
Physical quantity
|
Relation with other physical
quantities
|
Dimensional Formula
|
|
1
|
Area
|
Length x breadth
|
M0L2 T0
|
|
2
|
Volume
|
Length x breadth x height
|
M0L3 T0
|
|
3
|
Density
|
Mass/Volume
|
M1L-3 T0
|
|
4
|
Speed/Velocity
|
Distance/time
|
M0L1 T-1
|
|
5
|
Acceleration
|
Velocity/time
|
M0L1 T-2
|
|
6
|
Force
|
Mass x acceleration
|
M1L1 T-2
|
|
7
|
Momentum
|
Mass x velocity
|
M1L1 T-1
|
|
8
|
Work
|
Force x distance
|
M1L2 T-2
|
|
9
|
Power
|
Work / Time
|
M1L2 T-3
|
|
10
|
Pressure
|
Force/Area
|
M1L-1 T-2
|
|
11
|
Kinetic Energy
|
½ Mass x Velocity2
|
M1L2 T-2
|
|
12
|
Potential Energy
|
Mass x Gravity x Height
|
M1L2 T-2
|
|
13
|
Impulse
|
Force x time
|
M1L1 T-1
|
|
14
|
Torque
|
Force x distance
|
M1L2 T-2
|
|
15
|
Stress
|
Force / Area
|
M1L-1 T-2
|
|
16
|
Strain
|
Change in Length / Original Length
|
M0L0 T0
|
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