Length Contraction CalculatorFórmula

## 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.

Ejemplo Resuelto

A 100 m spaceship traveling at 90% the speed of light.

  1. L = L0 * sqrt(1 - v²/c²)
  2. L = 100 * sqrt(1 - 0.81)
  3. L = 100 * sqrt(0.19)
  4. L = 100 * 0.4359
  5. L = 43.59 m (56.4% shorter)