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All Dimensional Formula List PDF Details PDF Name
All Dimensional Formula List
No. of Pages 05
PDF Size 96.4KB
Language  English
Category Education & Job
Source cuemath.com
Contents

## Dimensional Formula

In mathematics, a dimension is a measurement of length, width, or height extended in a certain direction. It is a measure of a point or line extended in one direction, according to dimension definition. Every shape we see has a set of dimensions. In mathematics, there is no specific dimensional formula for the idea of dimension. The power to which the fundamental units are elevated to obtain one unit of any physical quantity is called its dimension.

## What Is the Dimensional Formula?

The dimensional formula of any quantity is the expression showing the powers to which the fundamental units are to be raised to obtain one unit of a derived quantity. If Q is any physical quantity, the expression representing its dimensional formula is given by,

### Dimensional Formula:

Q = MaLbTc

where, M, L, T are base dimensions mass, length, and time respectively and a, b and, c are their respective exponents.

## All Dimensional Formula List

Dimensional formulas for several physical quantities are shown in the table below:

## Uses of Dimensional Formula

The dimensional formula is used to check an equation’s accuracy and to determine the relationship between various physical quantities. The dimensional analysis is used to convert one system of units into another for any given quantity.