Time Dilation
Enter your known values, leave one input blank, and solves for the missing one. Try different units for next level excitement!
Learning zone
Time itself runs slower for whatever moves: the traveler's own (proper) time Δt₀ is always the shortest. The classic proof rains from the sky — muons created 15 km up live only 2.2 μs, barely enough to travel 660 m, yet at β = 0.995 their internal clock is dilated tenfold and they shower the ground in abundance. GPS satellites feel the effect at just β ≈ 0.00003: their clocks lose 7 μs/day to speed (and gain 45 to weaker gravity), corrections without which positions would drift kilometers per day.
Time Dilation
Where
- = Dilated time
- = Proper time
- = Speed ratio v/c
Missing one of these? Work it out first, then come back
- Dilated time — Speed, Distance & Time, Final Velocity (Uniform Acceleration)
- Proper time — Speed, Distance & Time, Final Velocity (Uniform Acceleration)
- Speed ratio v/c — Lorentz Factor, Length Contraction