Dimensional analysis made simple. http://dx.doi.org/10.1088/0143-0807/34/6/1391

Abstract

An inductive strategy is proposed for teaching dimensional analysis to second or third-year students of physics, chemistry, or engineering. In this strategy, Buckingham’s theorem is seen as a consequence and not as the starting point. In order to concentrate on the basics, the mathematics is kept as elementary as possible. Simple examples are suggested for classroom demonstrations of the power of the technique and others are put forward for homework or experimentation, but instructors are encouraged to produce examples of their own.