Contração Lorentz
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
About this calculator
The Lorentz Contraction calculator helps determine the length contraction of a moving object according to Einstein's special relativity theory. When an object moves at high velocity relative to an observer, its measured length decreases due to the relationship between velocity and the speed of light. The formula used is L = L₀·√(1−v²/c²), where L₀ is the proper length, v is the object's velocity, and c is the speed of light.
This tool is useful for physics calculations involving velocities near the speed of light, such as particles in accelerators or spacecraft travel theories. Contraction occurs only in the direction of motion, while perpendicular dimensions remain unchanged. Remember that the formula is significant only when v is a substantial fraction of c (more than 10% of light speed).
When using the calculator, ensure correct inputs for velocity and proper length. The velocity unit must match the speed of light's unit (m/s or km/s). Additionally, contraction is a theoretical effect imperceptible at everyday velocities but essential for high-energy physics models.
Frequently asked questions
What is Lorentz Contraction used for?
It calculates the length reduction of an object in motion, as predicted by special relativity, at velocities near the speed of light.
How does velocity affect length contraction?
The higher the object's velocity relative to the speed of light, the greater the contraction, computed using L = L₀·√(1−v²/c²).
Does contraction occur in all directions?
No, contraction only happens along the direction of motion; perpendicular dimensions remain unchanged.
Can contraction be observed in everyday life?
No, because perceivable effects require velocities close to a significant fraction of the speed of light.
Does the calculator require specific units?
Yes, velocity and length must be in compatible units, such as meters per second (m/s) or kilometers per second (km/s).