Time Dilation Calculatorसूत्र

## Time Dilation

Special relativity predicts that time passes more slowly for objects in relative motion.

### Formula

**t = t_0 / sqrt(1 - v²/c²) = gamma * t_0**

where t_0 is the proper time (measured in the moving frame) and gamma = 1/sqrt(1 - v²/c²) is the Lorentz factor.

हल किया गया उदाहरण

1 second of proper time at 90% the speed of light.

  1. gamma = 1 / sqrt(1 - 0.9²)
  2. gamma = 1 / sqrt(1 - 0.81)
  3. gamma = 1 / sqrt(0.19)
  4. gamma = 1 / 0.4359 = 2.294
  5. t = 1 * 2.294 = 2.294 s (observed from outside)