Question

True or False: Dimensional analysis can give you the numerical

value of constants of proportionality that may appear in an algebraic expression.

Answer 1

Dimensional analysis is a method of checking the dimensions of each value in an equation. I will give you an example.


`E=mc^2`

Is a know equation which equates energy and mass. So our question is, is this true or not? The method is following:

knowing that c has the dimension of [m/s] and m has [kg], what is the dimension of E? So here the dimensional analysis begins.


`image`

This can be used also to solve "equations" to prove certain dimensions of unknown constants.