February 10th, 2014, 06:07 AM  #1 
Newbie Joined: Feb 2014 Posts: 1 Thanks: 0  Tricky dimensional analysis
Hi, I have a problem related to dimensional analysis. I have 6 variables and they are: Ac [kg m^3 s^2], C [kg m^3 s^2], Pave [kg m^1 s^2], Pg [kg s^2 m^2], Pgk [kg s^2 m^2], Vk [m s^1]. In this problem Vk is dependent variable or I could say the variable I want to solve for. Basic dimension in this problem are M (for kg), L (for m) and T (for s). However, since M T^2 is in all terms, I believe that M and T are not independent dimensions which complicates the problem. The additional problem is that Ac and C have the same dimensions, as well as Pg and Pgk. My concern in this problem is how many Pi groups I should have and what should be my repeating variables? Thank you very much! 

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analysis, dimensional, tricky 
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