True or False: Dimensional analysis can give you the numerical

1 answer:

4 0

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.

$E = mc^2 \Rightarrow [E] = \text{kg} \cdot \left( \frac{\text{m}} {\text{s}}\right)^2 = \text{kgms}^{-2}$

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

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