Dimensions & Dimensional formulas of physical quantities

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
FormulaDimensionsDimensional
Formula
Arealength × breadth[L2][M0L2T0]
Volumelength × breath × height[L3][M0L3T0]
Densitymass/volume[M]/[L3] or [ML–3][ML–3T0]
Frequency1/time period1/[T][M0L0T–1]
Velocitydisplacement/time[L]/[T][M0LT–1]
Accelerationvelocity/time[LT–1]/[T][M0LT–2]
Forcemass × acceleration[M] [LT–2][MLT–2]
Impulseforce × time[MLT–2][T][MLT–1]
Workforce x distance[MLT–2][L][ML2T–2]
Powerwork/time[ML2T–2]/[T][ML2T–3]
Momentummass × velocity[M] [LT–1][MLT–1]
Pressure stressforce/area[MLT–2]/[L2][ML–1T–2]
Strainchange in dimension/original dimension[L]/[L] or [L3]/[L3][M0L0T0]
Modulus of elasticitystress/strain [ML–1T–2] / [M0L0T0] [ML–1T–2]
Surface tensionforce/length[MLT–2]/[L][ML0T–2]
Surface energy per unit areaenergy/area[ML2T–2]/[L2][ML0T–2]
Velocity gradientvelocity/distance[LT–1]/[L][M0L0T–1]
Pressure gradientpressure/distance[ML–1T–2]/[L][ML–2T–2]
Pressure energypressure × volume[ML–1T–2][L3][ML2T–2]
Dimensions & Dimensional formulas of physical quantities
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