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Finding a mistake using dimensional analysis

Page history last edited by Joe Redish 9 years, 8 months ago

2.1.3.P5

 

As part of an examination a few years ago, a student went through the algebraic manipulations on an exam shown in the figure below.

 

 

At this point you don't know what the symbols mean, but given the information at the bottom of the problem about the dimensions associated with each symbol, decide

 

a. Is it possible that the final equation is correct?


b. If the final equation is not correct, does that mean that the starting equation necessarily wrong?


c. If the final equation is not correct and the starting equation is not wrong, can you find the error using dimensional analysis?

[M] = M
[g]=L/T2
[h]=L
[ω]=1/T
[v]=L/T
[R]=L
[I]=ML2

 

 

Joe Redish 9/30/02

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