Enter the relative time and the actual time into the calculator to determine the velocity of an observer.

## Special Relativity Velocity Formula

The following equation is used to calculate the velocity from time dilation.

V = SQRT(1 - (RT/T)^2)*C
• Where V is the observer velocity (m/s)
• RT is the relative time (s)
• T is the actual time (s)
• C is the speed of light (299 792 458 m/s)

To calculate the observer velocity, square the ratio of relative time to actual time, subtract this result from 1, take the square root, and finally, multiply the speed of light.

## What is a Special Relativity Velocity?

Definition:

Special Relativity Velocity describes the velocity of an observer based on the time dilation experienced by the observer.

## How to Calculate Special Relativity Velocity?

Example Problem:

The following example outlines the steps and information needed to calculate Special Relativity Velocity.

First, determine the relative time. In this example, the relative time is found to be 30s.

Next, determine the actual time. For this problem, the actual time is found to be 100s.

Finally, calculate the Special Relativity Velocity using the formula above:

V = SQRT(1 – (RT/T)^2)*C

V = SQRT(1 – (30/100)^2)*299,792,458

V = 285,983,777.975 m/s