Length Contraction Calculator

Find how length shrinks at relativistic speed.

Rest length

Velocity

Contracted length 74.494

Lorentz factor (γ) 1.342

Formula: L = L₀ × √(1 − v²/c²)

Step-by-step with your numbers:

1. Values used:

2. Rest length = 100

3. Velocity = 200,000,000

5. Contracted length = 74.494

6. Lorentz factor (γ) = 1.342

Did we solve your problem today?

Objects contract along their direction of motion at high speed.

The math behind it

L = rest length × √(1 − v²/c²).

100 m at 200,000 km/s → ~74.5 m.

Which direction?

Only along the motion; perpendicular dimensions are unchanged.