Length Contraction Calculator

Length Contraction Calculator

True Length (m):

Object Velocity (m/s):

Speed of Light (m/s):

Calculate Length Contraction

 

About Length Contraction Calculator (Formula)

The Length Contraction Calculator you provided is designed to calculate the length contraction effect predicted by Einstein’s Special Theory of Relativity. It’s based on three input parameters:

1. True Length (m): This is the length of an object as measured by an observer at rest relative to the object.
2. Object Velocity (m/s): This is the relative velocity of the object in motion.
3. Speed of Light (m/s): The speed at which light travels in a vacuum, denoted by the constant $c$.

The formula used to calculate the length contraction is:

L=L′∗Sqrt(1−(V2/C2))

Where:

• $L$ represents the contracted length (length as measured by an observer in motion).
• L0​ is the true length (length as measured by an observer at rest relative to the object).
• $V$ is the relative velocity of the object.
• $c$ is the speed of light.

This formula is a consequence of Einstein’s theory, which states that as an object’s velocity approaches the speed of light, its length contracts in the direction of motion relative to an observer.

The Length Contraction Calculator is useful in theoretical physics and relativity studies to understand how the dimensions of objects change at high velocities. Keep in mind that this effect is only significant at very high speeds, approaching a substantial fraction of the speed of light.