Dimensional Formula of Some Physical Quantities – Units and Measurement

Reference Notes
Dimensional Formula of Some Physical Quantities
Unit: Units and Measurement
Science | Physics Class 11

Dimensional formula of physical quantity can only be written when its relation with other physical quantities is known. Some of the physical quantities with the dimensional formula are given below:

S.No.	Physical Quantity	Relation with other Physical Quantities	Dimensional formula	SI-Unit
1.	Area	length × breadth	[L] × [L] = [M0L2T0]	m2
2.	Volume	length × breadth × height	[L] × [L] × [L] = [M0L3T0]	m3
3.	Density			kg m-3
4.	Speed or Velocity			m s-1
5.	Acceleration			m s-2
6.	Momentum	mass × velocity	[M] × [L T-1] = [M L T-1]	kg m s-1
7.	Force	mass × acceleration	[M] × [L T-2] = [M L T-2]	N (newton)
8.	Pressure			N m-2 or Pa (pascal)
9.	Work	force × distance	[M L T-2] × [L] = [M L2 T-2]	J (joule)
10.	Energy (Mechanical, heat, light, etc)	work	[M L2 T-2]	J
11.	Power			W (watt)
12.	Gravitational Constant(G)		[M-1 L3 T-2]	N m2 kg-2
13.	Impulse	force × time	[M L T-2] × [T] = [M L T-1]	N s
14.	Surface tension			N m-1
15.	Coefficient of viscosity		[M L-1 T-1]	daP (decapoise)
16.	Angle		Dimensionless	rad
17.	Moment of inertia	mass × (distance)2	[M L2 T0]	kg m2
18.	Angular momentum	moment of inertia × angular velocity	[M L2] × [T-1] = [M L2 T-1]	Kg m2 s-1
19.	Torque or couple	force × perpendicular	[M L T-2] × [L] = [M L2 T-2]	N m
20.	Frequency		[T-1]	Hz