Question

What are the applications for dimensional analysis

Answer 1

Dimensional analysis is comparing the connection between different substances.

• The comparison or examination is performed based on the substance's basic measurement.
• Basic measurement is used to identify the same type of quantities.
• Only on those quantities operations can be performed.
• There are many applications for dimensional analysis.
• Using this analysis method we can change the type of the quantity to another.
• Can check the accuracy of the physical substance's relation.
• When many quantities are involved, can find the connection between them using the dimensional analysis method.

Answer 2

Answer:

Dimensional analysis is mainly used for three important reasons which are mentioned below.

Explanation:

• Dimensional analysis can be said to be a study of relationships between different physical quantities with the assistance of a measurement unit and dimensions.
• The three most important applications are:

Consistency of dimensional equations:

• Adding and subtracting physical quantities is only possible if they have the same dimensions.
• The resemblance of dimensions of a physical quantity is called the consistency of dimensional equations.

Deriving relations between different physical quantities of physical phenomena:

• If we know the dependency of the physical quantities on each other, then we can use dimensional analysis to form an equation.

To change units from one system to another:

• A physical quantity has two parts, one is the magnitude and another is the unit.
• We can use dimensional analysis to change this unit from one system to another; like from S.I to the C.G.S system.

Thus the three main applications of dimensional analysis are Consistency of dimensional equations, Deriving relations between different physical quantities of physical phenomena, and Changing units from one system to another