Length Contraction Rechner — Formel
## Length Contraction
Objects in relative motion appear contracted along the direction of motion.
### Formula
**L = L_0 * sqrt(1 - v²/c²) = L_0 / gamma**
where L_0 is the proper length (measured at rest). This is only along the direction of motion; perpendicular dimensions are unchanged.
Objects in relative motion appear contracted along the direction of motion.
### Formula
**L = L_0 * sqrt(1 - v²/c²) = L_0 / gamma**
where L_0 is the proper length (measured at rest). This is only along the direction of motion; perpendicular dimensions are unchanged.
Lösungsbeispiel
A 100 m spaceship traveling at 90% the speed of light.
- L = L0 * sqrt(1 - v²/c²)
- L = 100 * sqrt(1 - 0.81)
- L = 100 * sqrt(0.19)
- L = 100 * 0.4359
- L = 43.59 m (56.4% shorter)