Length Contraction Calculator

Calculate relativistic length contraction: L = L0 * sqrt(1 - v^2/c^2), the shortened length as seen by a stationary observer.

m
m/s

Contracted Length

43.602761 m

Length Reduction (%)56.3972 %

Contracted Length vs Proper Length (L0)

Voir la formule →

Formule

## Lorentz Length Contraction Objects moving at relativistic speeds appear shorter in the direction of motion. ### Formula **L = L0 * sqrt(1 - v^2/c^2) = L0 / gamma** - *L0* = proper length (measured at rest) - *v* = relative velocity Contraction occurs only along the direction of motion. Transverse dimensions are unaffected.

Exemple Résolu

A 100 m spaceship at 0.9c.

  1. 01beta = 0.9, gamma = 2.294
  2. 02L = L0 / gamma = 100 / 2.294
  3. 03L = 43.59 m
  4. 04The ship appears 56.4% shorter.