ku Posted March 20, 2005 Share Posted March 20, 2005 [math]w = \frac{K^{\frac{1}{4}}}{K^\frac{1}{2}}\frac{p}{2} \left(\frac{w}{2r}\right)^\frac{1}{2}[/math] [math]r=\frac{1}{8}[/math] and [math]w = \frac{1}{2}[/math] What is K in terms of p? The answer is [math]K=4p^4[/math] but I want to see the working out because, for some reason, I got [math]K=2p^2[/math]. Link to comment Share on other sites More sharing options...
ed84c Posted March 20, 2005 Share Posted March 20, 2005 looking at the two answers it looks as if you may have mixed up some surds somewhere. Link to comment Share on other sites More sharing options...
ed84c Posted March 20, 2005 Share Posted March 20, 2005 show us your working and it will be easier to help you out Link to comment Share on other sites More sharing options...
mcoy Posted March 20, 2005 Share Posted March 20, 2005 i think he's already got it. if he didn't here's my working out. [math]w = \frac{K^{\frac{1}{4}}}{K^\frac{1}{2}}\frac{p}{2} \left(\frac{w}{2r}\right)^\frac{1}{2}[/math] [math]r=\frac{1}{8}[/math] and [math]w = \frac{1}{2}[/math] = [math]\left[ w = \frac{K^{\frac{1}{4}}}{K^\frac{1}{2}}\frac{p}{2} \left(\frac{w}{2r}\right)^\frac{1}{2} \right]^4[/math] = [math]w^4 = \frac{K}{K^2}\frac{p^4}{2^4}\left(\frac{w}{2r} \right)^2[/math] or [math] w^4 = \frac{p^{4}w^{2}}{64Kr^2}[/math] = [math] 64Kr^{2}w^{4}=p^{4}w^2 [/math] then we make k the subject [math] K = \frac{p^{4}w^2}{64r^{2}w^{4}}[/math] or [math] K = \frac{p^{4}}{64r^{2}w^2}[/math] then lets make the substitution a little easier [math] K = \left(\frac{p^{2}}{8rw}\right)^2[/math] then substituting the e and w values we get [math] K = \left(\frac{p^2}{1/2}\right)^2[/math] [math] = [/math] [math] K = (2p^2)^2 [/math] [math] K = 4p^4 [/math] i hope this helped. Link to comment Share on other sites More sharing options...
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