state limitations of dimension analysis
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Dimension-ally correct equation is sometimes incorrect because it doesn’t take into account dimensionless constants like numbers.
v 2 +2as and v 2 +5as
have same dimensions but they are physically incorrect.
It does not test whether a physical quantity is a scalar or a vector.
It cannot derive relation or formula if a physical quantity depends upon more than three factors having dimensions.
It cannot derive a formula containing trigonometric function, exponential function, and logarithmic function.
It cannot derive a relation having more than one part in an equation.
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