# hw_02 - Name(s(up to four students per homework set Due In...

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Due: In class, Friday February 1, 2008 Name(s) (up to four students per homework set) : Section number(s) 1. 2. 3. 4. For instructor or TA use only: Problem Score Points 1 10 2 15 3 20 4 10 5 25 6 10 7 10 M E 345 Spring Semester, 2008 Homework Set # 2 Professor J. M. Cimbala Total: 100 1 . (10 pts) Express the dimensions of each of the following variables in terms of primary dimensions only: ( a ) electrical voltage ( V ) ( b ) electrical resistance ( R ) 2 . (15 pts) Albert Einstein is pondering how to write his (soon-to-be-famous) equation. He knows that energy E is a function of mass m and the speed of light c , but he doesn’t know the functional relationship ( E = m 2 c ? E = mc 4 ?). Pretend that Albert knows nothing about dimensional analysis, but since you are taking M E 345, you help Albert come up with his equation. Use the step-by-step method of repeating variables to generate a dimensionless relationship between these parameters. Show all your work for full credit . Note : For consistency, use the mass-length-time-temperature (m-L-t-T) system of dimensions, not the force-length-time-temperature (F-L-t-T) system that some of you may have learned in another class.

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hw_02 - Name(s(up to four students per homework set Due In...

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