Time Dilation Calculator

Free calculate relativistic time dilation using special relativity. determine time dilation from velocity and compare proper time vs dilated time for moving objects.

Input Parameters

Time in the rest frame

Velocity of moving frame

Results

Enter proper time and velocity to calculate time dilation

Time Dilation Formula (Special Relativity)

Formula

t = t₀ / √(1 - v²/c²)

Where:

  • • t = dilated time (observed time)
  • • t₀ = proper time (rest frame)
  • • v = relative velocity
  • • c = speed of light (299,792,458 m/s)

Lorentz Factor

γ = 1 / √(1 - v²/c²)

Time dilation factor

Examples

  • • 0.1c: γ ≈ 1.005
  • • 0.5c: γ ≈ 1.155
  • • 0.9c: γ ≈ 2.294
  • • 0.99c: γ ≈ 7.089

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