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Unformatted text preview: 2. An experiment is conducted in which four variables are varied. These variables are velocity(v), gravity(g), area(A), and diameter(D). (a) Determine the total number of dimensionless variables that can be formed from these variables. We know that each of the above variables has the following dimensions: v[=] L T-1 g[=] L T-2 A[=] L 2 D[=] L We can easily count that there are 4 variables and 2 dimensions. This leads us to find there are 2 dimensionless variables as a result of: G = NV – ND = 4 – 2 = 2 (b) Find as many dimensionless variables as you determined there were in part (a) We can easily find many dimensionless variables for this group of variables, but we can only define 2 at a time that will be independent . Two such variables are listed below. A D 2 , gD v 2...
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- Winter '08
- Cartesian Coordinate System, Fourth dimension, dimensionless variables