Time Dilation Calculator — Formula
## Special Relativistic Time Dilation
A moving clock runs slower as observed from a stationary frame.
### Formula
**t = t0 / sqrt(1 - v^2/c^2) = gamma * t0**
- *t0* = proper time (time measured by the moving clock)
- *v* = relative velocity
- *c* = speed of light (2.998 x 10^8 m/s)
- *gamma* = Lorentz factor
At 90% of c, time passes about 2.3 times slower for the moving observer.
A moving clock runs slower as observed from a stationary frame.
### Formula
**t = t0 / sqrt(1 - v^2/c^2) = gamma * t0**
- *t0* = proper time (time measured by the moving clock)
- *v* = relative velocity
- *c* = speed of light (2.998 x 10^8 m/s)
- *gamma* = Lorentz factor
At 90% of c, time passes about 2.3 times slower for the moving observer.
Esempio Risolto
1 second of proper time at 0.9c.
- beta = v/c = 2.698e8 / 2.998e8 = 0.8999
- gamma = 1 / sqrt(1 - 0.81) = 1 / sqrt(0.19) = 2.294
- t = gamma * t0 = 2.294 * 1 = 2.294 s