Wednesday, 19 August 2015

Units & Measurement: Dimensional Formula

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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