\[t=\gamma t_0\]
Variables
tdilated time (s)
t0proper time (s)
gamma[γ]Lorentz factor
Description
What is this formula?
The time dilation formula calculates how time intervals change for objects moving at relativistic speeds. According to Einstein's special relativity, moving clocks are observed to run more slowly compared with clocks at rest.
When to use it
Use this formula when studying relativistic motion, particle lifetimes, space travel, and high-speed systems.
Example
Data:
Proper time:
t0=10 s
Lorentz factor:
γ=2
Formula:
t=γt0
Substitution:
t=(2)(10)
Result:
t=20 s
Applications
- Special relativity
- Space travel analysis
- Particle physics
- Cosmic ray studies
- Satellite systems
- High-speed motion