Uses of dimensional analysis

Uses of dimensional analysis

1. Uses of Dimensional Analysis

2. Using the method of dimensions called the dimensional analysis, we can check the correctness of a given formula or an equation and can also derive it. Dimensional analysis makes use of the fact that expression of the dimensions can be manipulated as algebraic quantities.

3. Checking the Homogeneity of Equation In order to check the correctness of an equation, we are to show that the dimensions of the quantities on both sides of the equation are the same, irrespective of the form of the formula. This is called the principle of homogeneity of dimensions.

4. E=mc 2

5. Derivation of Possible Formula The success of this method for deriving a relation for a physical quantity depends on the correct guessing of various factors on which the physical quantity depends.

6. Derive a relation for the time period of a simple pendulum. The various possible factors on which time period may depend: