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MotionLab
Moving clocks tick slower — the faster you go, the more time stretches for a stationary observer.
GPS satellites orbit at about 14,000 km/h and their onboard clocks tick ~7 μs/day slower due to special relativity (partially offset by general relativity). Without corrections, GPS positions would drift by ~10 km per day — time dilation has practical engineering consequences.
At 90% the speed of light (v/c = 0.9), γ ≈ 2.29 — meaning one year for the traveler equals 2.29 years back on Earth. At 99.9% c, γ ≈ 22.4 — the traveler ages just 16 days while Earth ages a full year.
Dilated time Δt′ (s)
2.294
Δt′ = γΔt₀
What you entered
β = v/c
0.9= 0.9γ = 1 ÷ √(1 − β²)
1 ÷ √(1 − 0.9²)= 2.2942Dilated time Δt′ = γ × Δt₀
2.2942 × 1= 2.2942 sLength contraction factor L′/L₀ = 1/γ
1 ÷ 2.2942= 0.4359Result
Dilated time Δt′ (s): 2.294
At 90.0% the speed of light (γ = 2.294), 1 s of proper time appears as 2.294 s to a stationary observer.