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Time Dilation (Special Relativity)

Experiment Module

Time Dilation

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Time Dilation (Special Relativity) is an essential tool for understanding Time Dilation (Special Relativity) in quantitative terms. Calculate dilated time t' = t / sqrt(1 - v²/c²).

Mathematical Formulation

The relationship between the variables is governed by the following equation:

Result = t ÷ √(1 - (v×v)÷(299792458×299792458))
Eq 1.1: Governing Formula

Variable Legend

Symbol Parameter Unit
t Proper Time s
v Velocity (v) m/s

Practical Calculation Example

Problem

Calculating the result when:

  • Proper Time = 1 s
  • Velocity (v) = 25 m/s

Solution

Substituting into Eq 1.1:

Result = 1 ÷ √(1 - (25×25)÷(299792458×299792458))