Explain the significance of Dimensional Analysis
Answers
Answer:
Introduction to Dimensional Analysis and its Applications
Understanding dimensions is of utmost importance as it helps us in studying the nature of physical quantities mathematically. The basic concept of dimensions is that we can add or subtract only those quantities which have same dimensions. Also, two physical quantities are equal if they have same dimensions. These basic ideas help us in deriving the new relation between physical quantities, it is just like units.
Dimensional Analysis
Use of conversion factors
Image 1: Use of conversion factors
The study of relationships between physical quantities with the help of their dimensions and units of measurements is called dimensional analysis. We use dimensional analysis in order to convert a unit from one form to another. In science and mathematical problems, we have to keep the unit same so that we can perform the mathematical operations easily.
Dimensional Analysis is also called Factor Label Method or Unit Factor Method as we use conversion factor in order to get same units. As an example, if we want to know how many minutes are in 3 hours, what do we do? We generally think as follows:
1 hour = 60 minutes
3 hour = 3 × 60 minutes = 180 minutes
(here the conversion factor 60 minutes)
Step-by-step explanation: