Can't rearrange this equation

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March 22nd 2009, 02:59 AM
rutherford

Can't rearrange this equation

If I plot values of T^4 against d I obtain a straight lined gradient with an intercept.

I need to rearrange the following equation into the y=mx +c form where y =T^4 and x = d. K is a constant.

T^4 = 4pi^4 L K /g^2 - 8pi^4 Ld/g^2

If I identify m and c I can find values for K and g.
March 22nd 2009, 03:49 AM
Hush_Hush

Your equation is already separated:

$T^4=\frac{4*\pi^4*L*K}{g^2}-\frac{8*\pi^4*L*d}{g^2}=-\frac{8*\pi^4*L}{g^2}*d+\frac{4*\pi^4*L*K}{g^2}$

$T^4=-\frac{8*\pi^4*L}{g^2}*d+\frac{4*\pi^4*L*K}{g^2}$

$m=-\frac{8*\pi^4*L}{g^2}<br />$
$c=\frac{4*\pi^4*L*K}{g^2}$

Have a nice day !
March 22nd 2009, 01:31 PM
rutherford

Thank you very much,

Had a Eurecka moment shortly after posting this and after making g squared the subject of m, rearranging c to find K and substituting g squared into k, the solution to K boiled down to an elegant 2c/m.

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