Calculadora de Dilatação do Tempo (Relatividade)

This calculator determines relativistic time dilation as predicted by Einstein's special theory of relativity. It compares the time interval measured in a rest frame (Δt) with the interval measured in a frame moving at velocity v (Δt'). The formula used is Δt' = Δt / √(1 - v²/c²), where c is the speed of light in vacuum.

To use the tool, enter the proper time interval Δt (in the rest frame) and the relative velocity v between the frames. The calculator returns the dilated time Δt' observed in the moving frame. The result shows how time passes slower for objects moving at high speeds, a phenomenon confirmed experimentally, for example, in accelerated particles and atomic clocks on airplanes.

This calculator is useful for physics students and enthusiasts who want to explore relativistic effects. Practical applications include calculating time dilation in hypothetical space travel, corrections in GPS systems (which consider relativistic effects), and in high-energy particle physics. Remember that effects become significant only when v is a sizable fraction of c.

Cautions: ensure consistent units (Δt in seconds, v and c in m/s). The velocity must be less than c, as equal or greater values result in division by zero or square root of a negative number. For low velocities (v << c), the Lorentz factor is approximately 1, and dilation is negligible. This calculator does not consider gravitational effects (general relativity).