Volumetric thermal expansion coefficient

cheez
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Actually it's a math question. Can I cancel V from both side in step 3? thx!
 
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No you can't. You need to take their partial derivative.
 
http://farm1.static.flickr.com/122/367693621_f74963f0ea_o.jpg"

I've taken the derivative and substituted beta and k? into it. How to make it looks like step 6?

thx!
 
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Hi, I had an exam and I completely messed up a problem. Especially one part which was necessary for the rest of the problem. Basically, I have a wormhole metric: $$(ds)^2 = -(dt)^2 + (dr)^2 + (r^2 + b^2)( (d\theta)^2 + sin^2 \theta (d\phi)^2 )$$ Where ##b=1## with an orbit only in the equatorial plane. We also know from the question that the orbit must satisfy this relationship: $$\varepsilon = \frac{1}{2} (\frac{dr}{d\tau})^2 + V_{eff}(r)$$ Ultimately, I was tasked to find the initial...
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