Dimensional analysis

Dimensional analysis is a method used to check the consistency of equations and convert measurements by comparing physical quantities like length, time, and mass. It involves examining the units (dimensions) involved—such as meters, seconds, or kilograms—to ensure they align correctly. For example, when converting miles to kilometers, dimensional analysis verifies that the units are compatible and ensures calculations make sense physically. This technique is useful for solving problems across various sciences and engineering, providing a systematic way to validate equations and perform unit conversions accurately.