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Unformatted text preview: in terms of k independent fundamental physical quantities (dimensions), then the original expression is equivalent to an equation involving a set of p = nk dimensionless variables constructed from the original variables. So if f ( v 1 ,v 2 ,...,v n ) = 0 where the v i are the n physical variables containing k independent physical dimensions then we can write F ( π 1 ,π 2 ,...π p ) = 0 where the π i are dimensionless parameters constructed from the v i by p = nk equations of the form π i = v m 1 1 v m 2 2 ...v m n n where the m i are rational numbers. 3 1.4 The road map for a successful experimental investigation 1. Justiﬁcation : 2. Background : 3. Planning : 4. Experimentation : 5. Observation : 6. Hypothesis : 7. Dissemination : 8. Future work : In this course, we will address items 34 in particular. 4...
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