Relativistic Velocity Addition Calculator

This calculator helps physicists and students calculate the addition of velocities in the context of special relativity, solving the challenge of determining resultant velocities at high speeds.

Calculator

Results

Resultant Velocity (w) 0.00c

Data Source and Methodology

All calculations are rigorously based on the formulas and data provided by the Wikipedia page on Velocity Addition Formula. All calculations adhere strictly to these sources.

The Formula Explained

\( w = \frac{u + v}{1 + \frac{uv}{c^2}} \)

Glossary of Variables

How It Works: A Step-by-Step Example

Consider two objects moving with velocities \( u = 0.5c \) and \( v = 0.4c \). Using the formula:

w = \frac{0.5 + 0.4}{1 + \frac{0.5 \times 0.4}{1}} = \frac{0.9}{1.2} = 0.75c

The resultant velocity \( w \) is \( 0.75c \).

Frequently Asked Questions (FAQ)

What is relativistic velocity addition?

It is the formula used to calculate the resultant velocity of two velocities in the context of special relativity.

Why is relativistic velocity addition important?

It is crucial in understanding motion at speeds close to the speed of light.

Can velocities exceed the speed of light?

No, according to Einstein's theory of relativity, the resultant velocity will always be less than the speed of light.

How does this calculator work?

It uses the velocity addition formula to compute the resultant velocity based on the inputs given as fractions of the speed of light.

Is this calculator accurate?

Yes, the calculator uses precise mathematical formulas to ensure accurate results.

Tool developed by Ugo Candido. Content verified by the Physics Insights Team. Last reviewed for accuracy on: October 15, 2023.
```