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Unformatted text preview: ][ ] 2 = [ ] 2 ^ d dx X t d dx ~ = 1 L [ ] L 2 T [ ] L = [ ] T Hence, three of the terms in the equation have dimension [ ] /T and the other two terms have dimension [ ] /T 2 and [ ] 2 . So, in order for this equation to be dimensionally homogeneous, two conditions must be satisfied. First, we must have [ ] 2 = [ ] T = [ ] = 1 T Second, since [ ] /T = 1 /T 2 , necessarily [ ] T 2 = 1 T 2 = [ ] = 1 Therefore, the quantity has dimensions 1 /T and the coefficient is dimensionless....
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This note was uploaded on 02/09/2012 for the course AME 309 taught by Professor Phares during the Spring '06 term at USC.
- Spring '06