Relativistic Effects: When to Consider v/c Ratios

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SUMMARY

Relativistic effects become significant when the velocity ratio (v/c) approaches 0.4, resulting in a gamma factor of approximately 1.1, which indicates a 10% difference in measurements due to length contraction and time dilation. While GPS satellites must account for these relativistic effects, the impact is minimal. In experimental settings, such as measuring the velocity of an electron versus a proton, it is essential to consider relativistic effects for the electron due to its smaller mass and higher velocity, while such considerations may be negligible for the proton.

PREREQUISITES
  • Understanding of special relativity concepts, including gamma factor
  • Familiarity with velocity ratios (v/c) in physics
  • Knowledge of length contraction and time dilation principles
  • Basic principles of particle physics, specifically electron and proton behavior
NEXT STEPS
  • Research the implications of the gamma factor in high-energy physics experiments
  • Study the role of relativistic corrections in GPS technology
  • Explore the differences in relativistic effects on particles of varying masses
  • Investigate experimental methods for measuring relativistic effects in particle accelerators
USEFUL FOR

Physicists, students studying special relativity, researchers in high-energy particle physics, and engineers working with GPS technology.

Sonko
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at what sort of speed ratio (v/c) would one consider relativistic effects to become important? i would probably say when v/c ~ 0.4 as this would make the gamma factor to be ~ 1.1, making a 10% difference (for length contraction, time dilation etc..). is there any "offical" value for where one should begin to consider the effects?

thanks
 
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Depends on how accurately you need to measure, GPS satelites have to correct for relativity but the effect is tiny.
 
ok well let's say i was to measure the velocity of a small mass particle and one with a larger mass in the lab frame (lets say an electron and proton). if both particle were to have the same wavelength and so same energy would i be correct in saying that due to their sizes it would be appropriote to include relativistic effects on the electron, but not nessasary for the proton within a good accuracy?
 

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