What is the Lorentz Transformation for t'?

AI Thread Summary
The discussion centers on deriving the t' expression from the Lorentz transformation equations, specifically using algebraic substitutions involving x and x'. The user initially struggles with the algebra and seeks guidance on how to proceed. They mention substituting x' into x multiple times without success. Ultimately, the user resolves their confusion independently, indicating that they figured out the solution on their own. This highlights the challenges often faced in understanding Lorentz transformations in physics.
climb515c
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Homework Statement



We were told that it is a simple algebraic substitution to derive the t' expression from the x and x' equations for a lorentz transformation. However, I keep reaching a dead end in the algebra.

Homework Equations



x=B(x'+vt')
x'=B(x-vt)
B=1/(Sqrt(1-(v/c)^2))
B^2 = c^2/(c^2 -v^2)

Show t'=B(t-(vx/c^2))

The Attempt at a Solution



I've subbed x' into x multiple times and I am still getting no where. Does anyone have a tip, or maybe a relation I should be looking for that will help me get to t'? Thanks for any help
 
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Never mind everybody, I was able to figure it out. I guess its not my day today.
 

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