Length Contraction Calculator

Calculate relativistic length contraction using L = L0 * sqrt(1 - v²/c²).

m

Contracted Length

43.5890 m

Contraction56.41 %

Contracted Length vs Proper Length (rest frame)

सूत्र देखें →

सूत्र

## 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.

हल किया गया उदाहरण

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

  1. 01L = L0 * sqrt(1 - v²/c²)
  2. 02L = 100 * sqrt(1 - 0.81)
  3. 03L = 100 * sqrt(0.19)
  4. 04L = 100 * 0.4359
  5. 05L = 43.59 m (56.4% shorter)