Dimensions & Dimensional formulas of physical quantities

Last updated on December 25th, 2021 at 05:32 pm

In this post, we are going to list the formulas, dimensions, and dimensional formulas of important physical quantities in a tabular format. In these formulas, M stands for mass, L stands for length, and T stands for time.

Here is the table below. We will add more such dimensional formulas to this list.

Dimensional formulas of physical quantities

Physical Quantity	Formula	Dimensions	Dimensional Formula
Area	length × breadth	[L2]	[M0L2T0]
Volume	length × breath × height	[L3]	[M0L3T0]
Density	mass/volume	[M]/[L3] or [ML–3]	[ML–3T0]
Frequency	1/time period	1/[T]	[M0L0T–1]
Velocity	displacement/time	[L]/[T]	[M0LT–1]
Acceleration	velocity/time	[LT–1]/[T]	[M0LT–2]
Force	mass × acceleration	[M] [LT–2]	[MLT–2]
Impulse	force × time	[MLT–2][T]	[MLT–1]
Work	force x distance	[MLT–2][L]	[ML2T–2]
Power	work/time	[ML2T–2]/[T]	[ML2T–3]
Momentum	mass × velocity	[M] [LT–1]	[MLT–1]
Pressure stress	force/area	[MLT–2]/[L2]	[ML–1T–2]
Strain	change in dimension/original dimension	[L]/[L] or [L3]/[L3]	[M0L0T0]
Modulus of elasticity	stress/strain	[ML–1T–2] / [M0L0T0]	[ML–1T–2]
Surface tension	force/length	[MLT–2]/[L]	[ML0T–2]
Surface energy per unit area	energy/area	[ML2T–2]/[L2]	[ML0T–2]
Velocity gradient	velocity/distance	[LT–1]/[L]	[M0L0T–1]
Pressure gradient	pressure/distance	[ML–1T–2]/[L]	[ML–2T–2]
Pressure energy	pressure × volume	[ML–1T–2][L3]	[ML2T–2]