What is dimensional equation?

Answer 1

A dimensional equation is one in which the units of measurement and their powers are used rather than their actual numeric values.

For example, consider an object under constant acceleration:

let u denote its initial velocity

v denote its final velocity

a the acceleration

and t the time between the initial and final points of time.

Then v = u +at

The dimensional equation is

[LT-1] = [LT-1] + [LT-2][T]

L represents a dimension of length

T represents a dimension of time

M, which does not appear here, would represent mass.

Only terms with the same dimensions may be added or subtracted.