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Time Dilation

Tool to make calculations with time dilation. Time dilation is an effect of the special relativity which states that time is going slower if an object is moving.

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Time Dilation -

Tag(s) : Physics-Chemistry, Date and Time

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# Time Dilation

## Time Dilatation Calculator

### ... According to ...

 An observer moving with the object stationary (e.g. on Earth)

Tool to make calculations with time dilation. Time dilation is an effect of the special relativity which states that time is going slower if an object is moving.

## Answers to Questions

### What is the time dilation?

The dilation of time is a consequence of Einstein's theory of special relativity: the perception of time is different according to the relative speed of movement of an object relative to an observer.

### What is the time dilation formula?

Calculation involves Lorentz factor and is calculated with this formula:

$$\Delta{t} = \frac{\Delta\tau}{\sqrt{1 - \frac{v^2}{c^2}}}\$$

Example: A person (A) voyaging during 1 hour at 99% of the speed of light will appear as a 7 hours-long trip for a stationary person (B).

### How has the dilation of time been proven with atomic clocks?

According to the theory of relativity of Albert Einstein, time is defined in each frame of reference. By associating a clock in each referential, and deduce the time changes (time dilation) for an observer outside of the clock frame of reference, which will see a clock moving with a tick slower than a stationary clock.

An experiment was carried out by installing atomic clocks in planes and returned to earth by comparing the time of the clocks: there was a shift similar to that expected by the theory.

### What is the speed of light?

The speed of light in a vacuum is of 299792458 m/s (an order of magnitude of 300000 km/s) or 1079252848 km/h.

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## Questions / Comments

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