Question

What are the limitations of dimensional analysis?

Answer 1

The value of dimensionless constants cannot be determined by this method.

This method cannot be applied to equations involving exponential and trigonometric functions.

It cannot be applied to an equation involving more than three physical quantities.

 It can check only whether a physical relation is dimensionally correct or not. It cannot tell whether the relation is absolutely correct or not. For example applying this technique s = ut + 14 at 2 is dimensionally correct whereas the correct relation is s = ut + 12 at2.