Length Contraction Calculator
Compute contracted length L = L₀/γ at relativistic speed.
Input Data
Rest Length M
m
Velocity Ms
m/s
Results
L = L₀/γ.
80.000182m
γ = 1/√(1−v²/c²).
1.249997
L/L₀ = 1/γ.
0.800002
At a glance:L = L₀·√(1−v²/c²); γ = 1/√(1−v²/c²). Complements time-dilation and lorentz-factor.
Formula
L = L₀·√(1 − v²/c²).
$$L = L_0 \sqrt{1 - \frac{v^2}{c^2}} = \frac{L_0}{\gamma}, \quad \gamma = \frac{1}{\sqrt{1 - \beta^2}}, \quad \beta = \frac{v}{c}$$How to Use
- Enter proper length and velocity.
- The tool returns contracted length and γ.
Case Studies
L₀=1, v=0.8c
L = 0.6 m, γ=1.667.
FAQ
Only along motion?
Yes — contraction is parallel to the relative velocity.
Related Tools
References
Content review: Calculatorism Science Team. Results are for reference only; please refer to the relevant authorities for the official figures.