February 1st, 2015, 12:31 AM  #11 
Member Joined: Dec 2014 From: Queensland Posts: 59 Thanks: 2 
the course im in is an itroductory course to engineering mathmatics. I havent been informed of the consant k of proportionality. My question was You are to mill a beam from a cylindrical wooden log. The strength S of a beam is proportional to its width (w) and to the square of its depth (d). What is the width and depth of the strongest beam that can be cut from a 300 mm diameter wooden log? from this i get \(S=wd^{2}\) and the \(w=300^{2}w^{2} \) was also \(w=\sqrt{90000}\sqrt{30000}\) \(S\) is proportional to \(wd^{2}\) is it not from the statement? meaning \(S=wd^{2}\). can \(k\) be \(1\)? so am i wrong? we havent been tought the constant of proprotionality as i thought s was proportional to w*d^2. am i wrong? Last edited by unistu; February 1st, 2015 at 01:05 AM. 
February 1st, 2015, 09:56 AM  #12  
Global Moderator Joined: Nov 2006 From: UTC 5 Posts: 16,046 Thanks: 938 Math Focus: Number theory, computational mathematics, combinatorics, FOM, symbolic logic, TCS, algorithms  Quote:
 

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