Time Dilation Formula

It is one of the most interesting concepts of physics about Albert Einstein's theories of relativity, where time flows with different speeds for observers in other frames of reference, particularly when they are moving relative to each other, or when they are under different gravitational fields.

What is Time Dilation?

Time dilation is the phenomenon by which time passes differently when it is affected by relative motion or gravitational fields. It is proposed by Einstein's theory that time occurs rather than as an absolute quantity, and it has a tendency to stretch or compress based on gravity and speed.

Formula of Time Dilation

The formula for time dilation is given by,

T=T01-V2C2

Where, 

• T is the time observed

• T0 is the time observed at rest

• v is the velocity of the object

• c is the speed of light in a vacuum (3×108m/s)

Solved Examples

Example 1: Find the relativistic time, if T0 is 7 years and the velocity of the object is 0.55c

Solution:

Given,

T0 = 7 years

v = 0.55c

The time dilation formula is given by,