AllMyCalculators

Length Contraction Calculator

Works out the shortened length of something moving at relativistic speed.

% of c

Must be below 100%.

Measured length while moving
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Share sends a link that reopens these numbers. Copy details pastes the full breakdown as a list.

Lorentz factor (γ) —
Shorter by —
Speed —
Reading this —

The formula

L = L₀ ÷ γ γ = 1 ÷ √(1 − v²/c²)

L₀ is the length measured at rest relative to the object.

What to watch out for

The object’s own crew sees nothing unusual: its length only changes for an observer it moves past.

Frequently Asked Questions

How long is a 100 m ship at 90% of light speed?

43.59 m, as measured by someone it passes.

What about at 99.9%?

4.47 m.