What is the Lorentz contraction equation for bodies at relativistic speeds?

[zeromodz]

I need an equation to find to what extent bodies stretch or compress reaching relativistic speeds. Thank you:)

 

[Matterwave]

The Lorentz contraction:

$$L'=\frac{1}{\gamma}L$$

Where gamma is the Lorentz factor:

$$\gamma = \frac{1}{\sqrt{1-\frac{v^2}{c^2}}}$$

 

[Entropia]

The Lorentz contraction equation for bodies at relativistic speeds is given by:

L = L₀/√(1-(v/c)²)

where L is the contracted length of the object, L₀ is the rest length of the object, v is the velocity of the object, and c is the speed of light in a vacuum.

This equation shows that as an object approaches the speed of light, its length will appear to contract from an outside observer's perspective. This is due to the effects of time dilation and the constant speed of light, which are fundamental principles of special relativity.

To calculate the extent of contraction, you would plug in the values for the rest length and velocity of the object into the equation. The resulting value of L will be the contracted length of the object. This equation is important for understanding the behavior of objects at high speeds and is used in various fields of physics, such as particle accelerators and space travel.