Calculadora de Contração do Comprimento
Calcule a contração do comprimento prevista pela relatividade especial de Einstein. Determine como objetos encurtam a velocidades relativísticas.
Contracted Length
43.602761 m
Contracted Length vs Proper Length (L0)
Formula
Lorentz Length Contraction
Objects moving at relativistic speeds appear shorter in the direction of motion.
Formula
L = L0 * sqrt(1 - v^2/c^2) = L0 / gamma
Contraction occurs only along the direction of motion. Transverse dimensions are unaffected.
Exemplo Resolvido
A 100 m spaceship at 0.9c.
- 01beta = 0.9, gamma = 2.294
- 02L = L0 / gamma = 100 / 2.294
- 03L = 43.59 m
- 04The ship appears 56.4% shorter.
Perguntas Frequentes
Would a moving object look visually squished?
Not exactly. Due to the finite speed of light, a moving object appears rotated (Terrell rotation) rather than simply compressed. The contraction is real but the visual appearance is more complex.
Does the object actually shrink?
In the moving object's own frame, it is not contracted at all. Length contraction is a real physical effect of how different frames measure space, not an illusion.
At what speed is the contraction noticeable?
At 10% of c, contraction is only 0.5%. It becomes dramatic above 80% of c, where the length drops below 60% of the rest length.
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