Length Contraction Calculator

Length Contraction Calculator calculator can be used to calculate the contracted length of an object moving at a significant fraction of the speed of light.

Input Parameters

Calculation Results

Calculation Formula

L = L₀ √(1 - v²/c²)

Where:
L = Contracted Length (meters)
L₀ = Original Length (meters)
v = Velocity (meters per second)
c = Speed of Light (meters per second)

Result

Length Contraction Calculator Usage Guide

Learn how to use the Length Contraction Calculator calculator and its working principles

How to Use the Calculator

  1. Enter the original length of the object in meters.
  2. Enter the velocity of the object in meters per second.
  3. The speed of light is pre-filled and cannot be changed.
  4. Click the "Calculate" button to compute the contracted length.
  5. The result will be displayed in meters.

Working Principle

Length contraction is a phenomenon predicted by Einstein's theory of special relativity. It states that the length of an object in motion will appear shorter in the direction of motion when observed from a stationary frame of reference. The formula used is:

L = L₀ √(1 - v²/c²)

Where:

  • L = Contracted Length (meters)
  • L₀ = Original Length (meters)
  • v = Velocity (meters per second)
  • c = Speed of Light (meters per second)