The amount of time dilation experienced by an object can be calculated using the formula derived from the theory of special relativity. The formula relates the time dilation factor, also known as the Lorentz factor (γ), to the relative velocity (v) between the object and an observer.
The formula for time dilation is:
Δt' = γ * Δt
where Δt' is the time interval experienced by the moving object (proper time), Δt is the time interval measured by an observer at rest (coordinate time), and γ is the Lorentz factor given by:
γ = 1 / √(1 - (v^2 / c^2))
In this formula, v represents the relative velocity between the object and the observer, and c is the speed of light.
To calculate the time dilation, you need to know the relative velocity between the object and the observer. If the object is moving at a constant velocity relative to the observer, you can use this formula to determine the time dilation factor and compute the time experienced by the moving object.
It's important to note that the time dilation formula is applicable for relative velocities close to the speed of light (v << c). For velocities much lower than the speed of light, the time dilation effects are negligible and can be considered insignificant in most practical scenarios.</p>
Keep in mind that time dilation is a fundamental consequence of special relativity and has been experimentally confirmed in various situations, including high-speed particle accelerators and satellite-based navigation systems like GPS.