Length Contraction Calculator

Calculate Observed Length

The length of the object measured in its own rest frame (e.g., in meters).
Enter the velocity as a decimal fraction of the speed of light (e.g., 0.8 for 80% of c). Must be less than 1.

Explore the fascinating phenomenon of length contraction with our user-friendly calculator. Understand how Einstein's Special Relativity predicts objects appear shorter when moving at speeds approaching that of light. Simply input the proper length and relative velocity to find the observed length.

Formula:

L = Lā‚€ × √(1 - (v²/c²))

Where:

  • L = Observed Length (contracted length as measured by an observer in relative motion)
  • Lā‚€ = Proper Length (the length of the object measured in its own rest frame)
  • v = Relative Velocity (the speed of the object relative to the observer)
  • c = Speed of Light in a vacuum (approximately 299,792,458 m/s)

Physics and Science Tools

Bq to Ci Conversion : Convert Becquerel to Curie

Go to Calculator

Clausius-Clapeyron Phase Change

Go to Calculator

Doppler Effect Blue Shift Wavelength

Go to Calculator

Electric Field : Determine Field Strength & Force

Go to Calculator

Electromagnetic Field Energy Density

Go to Calculator

Law of Cooling : Predict Object Temperature Over Time

Go to Calculator