Relative speed and Time dilation

AI Thread Summary
The discussion focuses on calculating relative speed based on a 1% time difference observed by two observers. The equation used is t = (gamma)t', where gamma represents the Lorentz factor. An attempt to solve for velocity resulted in an incorrect value of 2.999x10^8 m/s. A suggestion is made to relate the time ratio t/t' to the 1% difference to find the correct velocity by solving for v in the gamma equation. The conversation emphasizes the importance of correctly applying the time dilation concept in special relativity.
stellaman
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Homework Statement


What is the relative speed if two observers record a time difference of 1%


Homework Equations


t=(gamma)t'


The Attempt at a Solution



I use the above equation and solved for v, and got

v=sqrt(-c2((t'/t)2-1)

however I am gettin 2.999x108m/s, and I am pretty sure that is not right.
 
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Perhaps you can relate \frac{t}{t'} to the 1% time difference. If you can do this you could find a velocity by solving \frac{t}{t'} = \gamma for the v in gamma.
 

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