Calculateur de Dilatation du Temps Gratuit
Calculez la dilatation du temps selon la relativité restreinte d'Einstein. Comparez le temps propre et le temps dilaté.
Dilated Time
2.293433 s
Dilated Time vs Proper Time (t0)
Formule
Special Relativistic Time Dilation
A moving clock runs slower as observed from a stationary frame.
Formula
t = t0 / sqrt(1 - v^2/c^2) = gamma * t0
At 90% of c, time passes about 2.3 times slower for the moving observer.
Exemple Résolu
1 second of proper time at 0.9c.
- 01beta = v/c = 2.698e8 / 2.998e8 = 0.8999
- 02gamma = 1 / sqrt(1 - 0.81) = 1 / sqrt(0.19) = 2.294
- 03t = gamma * t0 = 2.294 * 1 = 2.294 s
Questions Fréquentes
Has time dilation been experimentally confirmed?
Yes, many times. Muons created in the upper atmosphere reach the ground because their decay time is dilated. Atomic clocks on aircraft and satellites also confirm it.
What is the twin paradox?
If one twin travels at high speed and returns, they age less than the stay-at-home twin. The apparent paradox resolves because the travelling twin accelerates, breaking the symmetry.
Does GPS use time dilation corrections?
Yes. GPS satellites move fast enough (and are in a weaker gravitational field) that both special and general relativistic corrections are essential for accuracy.
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