Breathtaking Limitations Of Dimensional Analysis

Dimension-ally correct equation is sometimes incorrect because it doesnt take into account dimensionless constants like numbers.

Limitations of dimensional analysis. This method is not suitable to derive relations involving trigonometric exponential and logarithmic functions. It is not useful when the trigonometric or exponential functions are. Limitations of Dimensional analysis This method gives no information about the dimensionless constants in the formula like 1 2πe etc.

Mention any two limitations of dimensional analysis. Two limitations of dimensional analysis are- It cannot derive a relation having more than one part in an equation. Does not test whether a physical quantity is a scalar or a vector 67K views.

It does not tell us the value of constants involved. Iii It cannot be applied to an equation involving more than three physical quantities. The most basic rule of dimensional analysis is that of dimensional homogeneity.

Only commensurable quantities physical quantities having the same dimension may be compared equated added or subtracted. Limitations of Dimensional Analysis i The value of dimensionless constants cannot be determined by this method. The constant of the physical equation cannot be found using dimensional analysis.

V 2 2 a s and v 2 5 a s have same dimensions but they are physically incorrect. The dimensional analysis has the following limitations It fails while using it to derive a relation among physical quantities if there are more than 3 unknown variables on which a given physical quantity depends It does not tell whether a given Physical quantity is a scalar or a vector. Examples s ut 12 at 2 and 2as v 2 u 2.

A physical equation is dimensionally correct does not mean that the equation is scientifically correct. Motioninaplane class11physics twodimensionalmotion kinematicsKey Areas Covered in this session. The method cannot be considered to derive composite relations.