Time Dilation Calculator
Use this calculator to determine the effects of time dilation as predicted by Einstein's theory of relativity. This tool is valuable for physics students, educators, and professionals exploring the relativistic effects of time at high velocities.
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Data Source and Methodology
All calculations are strictly based on Einstein's theory of relativity and are consistent with the standards set forth by reputable scientific resources.
The Formula Explained
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{v^2}{c^2}}} \]
Glossary of Variables
- Velocity (v): The speed of the moving object as a fraction of the speed of light.
- Proper Time (Δt): The time interval measured in the rest frame of the object.
- Dilated Time (Δt'): The time interval measured in a frame where the object is moving at velocity v.
How It Works: A Step-by-Step Example
Consider an object moving at 0.8c, and a proper time interval of 100 seconds. The dilated time is calculated as follows:
\[ \Delta t' = \frac{100}{\sqrt{1 - (0.8)^2}} = 166.67 \text{ seconds} \]
Frequently Asked Questions (FAQ)
What is time dilation?
Time dilation is a difference in the elapsed time measured by two observers, due to a relative velocity between them, or a difference in gravitational potential.
How is time dilation calculated?
Time dilation is calculated using the formula: Δt' = Δt / sqrt(1 - v^2/c^2).
Does time dilation affect everyday life?
At typical speeds and conditions on Earth, time dilation effects are negligible, but they become significant at speeds close to the speed of light.
Who discovered time dilation?
Time dilation was derived from Albert Einstein’s theory of relativity, published in 1905.
Is time dilation real?
Yes, time dilation has been confirmed by numerous experiments, including those involving precise atomic clocks.
Formula (LaTeX) + variables + units
','
\Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{v^2}{c^2}}}
\Delta t' = \frac{100}{\sqrt{1 - (0.8)^2}} = 166.67 \text{ seconds}
\[ \Delta t' = \frac{\Delta t}{\sqrt{1 - \frac{v^2}{c^2}}} \]
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Last code update: 2026-01-19
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