Length Contraction

Theory & Logic

Theoretical Background

Physics describes the fundamental mechanism of the universe. The Length Contraction is an essential tool for understanding Length Contraction in quantitative terms. Calculate contracted length L = L0 * sqrt(1 - v²/c²).

Mathematical Formulation

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

Result = l0 × √(1 - (v×v)÷(299792458×299792458))

Eq 1.1: Governing Formula

Variable Legend

Symbol	Parameter	Unit
l0	Proper Length	m
v	Velocity (v)	m/s

Practical Calculation Example

Problem

Calculating the result when:

Proper Length = 100 m
Velocity (v) = 90 m/s

Solution

Substituting into Eq 1.1:

Result = 100 × √(1 - (90×90)÷(299792458×299792458))