Homework Help: Violate the principle of relativity?

1. Jan 16, 2010

tkm2002

1. The problem statement, all variables and given/known data
In a water pipe, the light moves in the same direction of the water flow. It is
determined that the speed of light is dependent on the speed of water flow. Does
that violate the principle of relativity?

2. Relevant equations

3. The attempt at a solution
why the speed of light is dependent?
I know it should not be violate the principle of relativity but I don't know how to explain.

2. Jan 16, 2010

CeltIntuition

You are looking at a famous relativity example.

A distinction must be made between "speed of light (in a given medium)" and "speed of light in a vacuum (the speed limit of the universe)". I call the latter the "information speed limit".

I can suggest some more if you want, but that nugget of info above may be useful to you :).

EDIT: Actually, that is a downright awful attempt at being helpful, let's see if I can do better. You need to know about velocity addition formulae to answer the question. If you have tried all of that to no avail, then the water stuff is known as the fizeau experiment (books and interwebs know all about it)

Last edited: Jan 16, 2010
3. Jan 16, 2010

tiny-tim

Hi tkm2002!

No, it confirms the principle of relativity …

the v(1 ± 1/n2) formula is what special relativity predicts (by adding or subtracting v, the speed of the water, to c/n, the speed of light in the water) …

see http://en.wikipedia.org/wiki/Fizeau_experiment#Derivation_in_special_relativity"

Last edited by a moderator: Apr 24, 2017
4. Jan 16, 2010

tkm2002

Last edited by a moderator: Apr 24, 2017
5. Jan 17, 2010

tiny-tim

Special Relativity has a formula for "adding" velocities.

That formula is different from ordinary adding, but it agrees with the results of Fizeau's experiment …

so Fizeau's experiment does not violate Special Relativity, but confirms it.

See that link for details.