Formula

L = L₀ / γ = L₀ × √(1 − v²/c²)

Length contraction describes how lengths measured in a frame where an object moves at velocity v are shorter than the object's proper length L₀.

How to use

Enter the proper length and velocity as a fraction of c. The tool computes γ and the contracted length automatically.

Example

For L₀ = 100 units and v = 0.8c → γ ≈ 1.6667, contracted L ≈ 60.00 units.

FAQs

Q: Can v exceed c? A: No, v must be < c. Q: Units? A: Use consistent length units for L₀ and output.