basic

Time Dilation Calculator

Special-relativistic time dilation.

Compute the dilated time observed in a stationary frame for a moving clock, given the proper time and the speed as a fraction of c, using Δt = Δt₀ / √(1 − v²/c²).

Dr. Helena Ortiz By Dr. Helena Ortiz
Published Last reviewed 1 min read

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Results

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How to use this calculator

  1. Fill in the inputs above using the units you already have.
  2. Values update automatically as you type — no submit button needed.
  3. Hover any result row for the underlying formula and intermediate values.

Formula

Δt = Δt₀ / √(1 − β²), β = v / c.

In depth

Compute the dilated time observed in a stationary frame for a moving clock, given the proper time and the speed as a fraction of c, using Δt = Δt₀ / √(1 − v²/c²).