- #1
fhqwgads2005
- 23
- 0
I've seen stated in many a physics book that the general case for the speed of sound (for general equations of state p(ρ) ) is given by
[tex] c^2 = \frac{\partial p}{\partial \rho} [/tex]
where p is pressure and ρ is density.
but I can't for the life of me figure out how on Earth to derive that. I've seen tons of derivations for specific cases--gasses, solids, but not for the general case. According to wikipedia, it can be derived using classical mechanics. Can someone point me in the right direction?
[tex] c^2 = \frac{\partial p}{\partial \rho} [/tex]
where p is pressure and ρ is density.
but I can't for the life of me figure out how on Earth to derive that. I've seen tons of derivations for specific cases--gasses, solids, but not for the general case. According to wikipedia, it can be derived using classical mechanics. Can someone point me in the right direction?
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