\[L=\frac{L_0}{\gamma}\]
Variables
Lcontracted length (m)
L0proper length (m)
gamma[γ]Lorentz factor
Description
What is this formula?
The length contraction formula calculates the reduction in the observed length of an object moving at relativistic speeds. According to special relativity, an object's length measured along its direction of motion becomes shorter for a stationary observer.
When to use it
Use this formula when studying relativistic motion, spacecraft behavior, particle physics, and systems moving near the speed of light.
Example
Data:
Proper length:
L0=100 m
Lorentz factor:
γ=2
Formula:
L=L0/γ
Substitution:
L=100/2
Result:
L=50 m
Applications
- Special relativity
- Space travel
- Particle physics
- High-speed systems
- Astrophysics
- Relativistic mechanics