Dimensional Analysis (DA) is a tool often used to relate models and specimens to the actual product or system based on the hypothesis that the two regimes follow the same physical laws and are hence dimensionally equivalent. While this has been a conventional use of the process, we extend the technique to dynamic systems to develop state equations that allow for design studies and optimization. A methodical approach is detailed coupled with an example of a toy water-rocket assembly. A modified methodology (heuristic) is also discussed to condense non-monomial basis systems using simple physical laws and a novel reduction process. Experimental verification is provided to complement the analysis procedure. Efficacy of the process is highlighted in comparison with the conventional close-form approach.

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