Time Dilation Calculator
Calculate relativistic time dilation from velocity
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Formula
Formula
γ = 1/√(1 - v²/c²). Dilated time = γ × proper time. Length contraction = 1/γ. c = 299,792,458 m/s.
Special relativity predicts that moving clocks run slower. The Lorentz factor γ quantifies this effect. At low speeds γ ≈ 1. As v → c, γ → ∞.
How to Calculate Manually
- 1 Select how to enter velocity
- 2 Enter velocity and proper time
- 3 Calculator computes Lorentz factor
- 4 Shows dilated time and length contraction
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Reference Table
| v/c | γ (Lorentz) | Time Dilation | Length Contraction |
|---|---|---|---|
| 0.1 | 1.005 | 0.5% slower | 99.5% |
| 0.5 | 1.155 | 15.5% slower | 86.6% |
| 0.9 | 2.294 | 2.3x slower | 43.6% |
| 0.99 | 7.089 | 7.1x slower | 14.1% |
| 0.999 | 22.37 | 22.4x slower | 4.5% |
| 0.9999 | 70.71 | 70.7x slower | 1.4% |
| 0.99999 | 223.6 | 224x slower | 0.45% |
Time dilation is one of the most fascinating predictions of Einstein's special relativity. It states that time passes at different rates for observers in different states of motion. A clock moving at high velocity relative to an observer will tick slower than a clock at rest relative to that observer. This isn't an illusion or measurement error—it's a fundamental property of spacetime...
Frequently Asked Questions
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What is time dilation?
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What is the Lorentz factor?
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Has this been proven?
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