Equations
Time dilation
Modern physics · id time_dilation
\Delta t = \frac{\Delta t_0}{\sqrt{1 - v^2/c^2}}
| Symbol | Quantity | Unit | Meaning | Usual range |
|---|---|---|---|---|
t | dilated time | s | Time interval measured by the observer | 1e-12 to 1e+12 |
t0 | proper time | s | Time interval in the moving clock's frame | 1e-12 to 1e+12 |
v | relative speed | m/s | Speed of the moving clock | 0 to 2.99792e+08 |
c | speed of light constant | m/s | Speed of light in vacuum |
Assumptions
- Inertial frames
- Constant relative speed
Valid when
- No extra conditions.
Found by
Questions with these words retrieve this equation: time dilation, relativity, special relativity, twin paradox, muon, moving clock.
Source
OpenStax University Physics Volume 3, Chapter 5 (reference; entry written by the project). License: MIT. Entry confidence: 0.99.