Time Dilation Calculator, Formula and Sample Problems

Time Dilation Calculator :

Enter the time dilation calculator, calculates the Time interval (Δt) in seconds(sec), Observer velocity (v) in km/s, Relative time (Δt’) in seconds(sec), and you get the calculator check it.

Time Dilation Calculator

Time Dilation Formula :

Time Dilation Formula is time observed T(s) in second is equal to the time observed at rest T0(s) in second and divided by the root of one minutes square of  the velocity of the object v2(m/kg) in meter per kilogram and divided by the velocity of light in vacuum c2(m/s2) in meter per second2.Hence the time Dilation Formula can be written as,

T(s)=T0(s)/ √1-v2(m/kg)/c2(m/s2)

where,

T → time observed in second

T0 time observed at rest in second

V→ velocity of the object in m/kg

C → velocity of light in a vacuum (3*108 m/s2)

Sample Problems :

Example 1 :

Calculate the relativistic time? In a T0 is 4 years and the velocity of the object is 0.30c.

Solution :

Given,

T0=4years

V=0.30C

The  formula for time dilation is given by

T=T/ √1-v2/c2

T=4/√1-(0.30)2(32*1016)/ 32*1016

T=4/√0.91

T=4/0.9539

T=4.19 years

Example 2 :

Calculate the relativistic time? In a T0 is 7 years and the velocity of the object is 0.55c.

Solution :

Given,

T0=7years

V=0.55C

The  formula for time dilation is given by

T=T/ √1-v2/c2

T=7/√1-(0.55)2(32*1016)/ 32*1016

T=7/√0.552

T=7/0.8351

T=8.38 years

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