Adição Relativística de Velocidades
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
soma relat.
About this calculator
The Relativistic Addition of Velocities is a calculator that applies Einstein's theory of relativity to calculate the resulting velocity of two moving objects. It considers the speed of light as a universal limit and corrects the simple sum of velocities, which is only valid at speeds much lower than the speed of light.
This calculator works using the formula v' = (u+v)/(1+uv/c²), where v' is the resulting velocity, u and v are the velocities of the two objects, and c is the speed of light in a vacuum. This formula is essential for understanding phenomena in particle physics and astrophysics, where speeds can approach the speed of light.
The Relativistic Addition of Velocities is useful in real cases such as the study of subatomic particles in particle accelerators, where speeds are extremely high, or in the analysis of cosmic phenomena, such as the expansion of the universe. It is important to remember that, at very low speeds relative to the speed of light, the formula approximates the simple addition of velocities.
Common precautions when using this calculator include ensuring that the units of measurement are consistent and that the inserted velocities are less than the speed of light, as the theory of relativity does not apply beyond this limit.
Frequently asked questions
What is the purpose of the Relativistic Addition of Velocities?
It serves to calculate the resulting velocity of two moving objects, considering Einstein's theory of relativity.
When should I use this calculator?
It should be used when the involved velocities are significant relative to the speed of light, such as in particle physics or astrophysics.
What formula does the calculator use?
The used formula is v' = (u+v)/(1+uv/c²), where v' is the resulting velocity, u and v are the velocities of the objects, and c is the speed of light.
Can I use this calculator for very low velocities?
Yes, but the formula approximates the simple addition of velocities. For very low velocities, the difference is negligible.