Elaborate THREE practical uses of dimensional analysis in engineering.

14. b) Elaborate THREE practical uses of dimensional analysis in engineering.
Three practical uses of dimensional analysis in engineering are:

• Checking dimensional homogeneity: It ensures that all terms in an equation have consistent units, which helps in identifying errors in formulas and verifying the correctness of derived equations.
• Deriving relationships between physical quantities: It can be used to determine the form of an equation relating several variables, especially when the exact relationship is unknown, by grouping variables into dimensionless parameters.
• Scaling and model testing: It allows engineers to design and interpret experiments on scaled-down models (e.g., wind tunnels, hydraulic models) and extrapolate the results to full-scale prototypes, saving time and resources.

15.
The question asks to show that