Do Dimensional Analysis

Do Dimensional Analysis.

Dimensional analysis helps you to check your formula derivation. All terms in the equation should have the same dimension ( or units)

Example: The pressure p is defined as the force F per unit area A. Suppose you measure force in Newton N and length in m. What is the unit of pressure?

P = F/A. Since the dimension of A is length². Thus pressure is measured in N/m² .

Example: Which of the following formula has correct dimension?

v = a t + x t2.
v =x / t
v = a x

v is the velocity measured in m/s, x is the position measured in m and a is the acceleration measured in m/s2.

Answer: v = x / t.