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What are the limitations of dimensional analysis?

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limitations of dimensional analysis

1. Dimension-ally correct equation is sometimes incorrect because it doesn’t take into account dimensionless constants like numbers.

means 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

The equation v^{2}=u^2+5 a s is dimensionally correct whereas the correct relation is v^{2}=u^2+2a s

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

3. It does not test whether a physical quantity is a scalar or a vector.

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avinash.dongre

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