Time Dilation Calculator

Formula

The formula to calculate the Relative Time (RT) is:

\[ RT = t \cdot \sqrt{1 - \frac{v^2}{c^2}} \]

Where:

\( RT \) is the Relative Time (seconds).
\( t \) is the Actual Time (seconds).
\( v \) is the Velocity of the Observer (m/s).
\( c \) is the Speed of Light (299792458 m/s).

What is Time Dilation?

Time dilation is defined as the change in time of a traveler relative to an observer as they approach the speed of light. This phenomenon occurs because, according to the theory of relativity, time slows down for objects moving at high velocities compared to those at rest.

Example Calculation

Consider an example where:

Actual Time (t): 1000 seconds
Velocity of the Observer (v): 100000000 m/s

Using the formula to calculate the Relative Time:

\[ RT = 1000 \cdot \sqrt{1 - \frac{(100000000)^2}{(299792458)^2}} = 1000 \cdot \sqrt{1 - 0.111} = 1000 \cdot 0.943 = 943 \text{ seconds} \]

This means that the relative time for this example is approximately 943 seconds.