Product ID: 99526

Supplementary Print

Undergraduate

# Dimensional Analysis (UMAP)

### Author: Frank R. Giordano; Michael C. Wells; Carroll O. Wilde

A unit that relates linear algebra to dimensional analysis. In using this module given a physical system and the factors that influence it students will be able to: 1) find a complete set of dimensionless products for the system; and 2) apply Buckingham's theorem and determine a dimensionally correct equation relating the variables involved in the system.** Table of Contents:1. INTRODUCTION2. DIMENSIONS AS PRODUCTS3. FORMING DIMENSIONLESS PRODUCTS4. MAXIMAL SETS5. COMPLETE SETS6. BUCKINGHAM'S THEORY7. AN ALGORITHM8. CONCLUSION9. REFERENCES10. MODEL EXAM11. ANSWERS TO EXERCISES12. ANSWERS TO MODEL EXAM**

©1988 by COMAP, Inc.

UMAP Module

27 pages

#### Mathematics Topics:

Abstract & Linear Algebra

#### Application Areas:

Engineering & Construction

#### Prerequisites:

Linear algebra concepts (rank of a matrix, linear independence); basic physical quantities (velocity, acceleration, kinetic energy); solving systems of linear algebraic equations

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