Physics 62 Special Relativity (21 of 43) The Lorentz Transformation Equations: Time

In this video I will explain Lorentz transformation equation in regards to time.

Next video in the Special Relativity series can be seen at:

[olivernorth]

The best explanation of the Lorentz transformation I've been able to find on the internet.

[valeriereid]

Wonderful! Thanks for making physics so beautiful and easy to appreciate.

[antoniocarlosmadeira]

You'll get the same expressions if you rationalize the denominator on the right hand side of equation ta = tb/sqr(1 - u^2/c^2) and solve for tb using u*u/c^2 instead of u^2/c^2 outside of the radical. By doing so it's easy to see that there's no difference between ta and t or between tb and t'. Equations ta = tb/sqr(1 - u^2/c^2) and ta = tb*sqr(1 - u^2/c^2) + x*u/c^2 are different forms of the same transformation.

[MichelvanBiezen]

tA is the time observed by observer A
tB is the time observed by observer B

[thephantomengine]

Yeah!!! I've been searching for a good explanation for "Lorentz Transformation" and finally there I found it.

[banuprakashm]

good job got lot information ...u are the best instructor help full for clearing national level exams....thank u very much sir, ....

[snaaen]

Very well explained, I was looking exactly for this. Thanks a lot!

[mikejiang]

Just one question, why can you substitute x’ into the first equation? The two events are not the same event then how can you assume the distances are the same?

[qualquan]

There is another time transform showing time dilation namely T = gamma To ( where To is proper time and gamma is 1/1-V^2/C^2).
Would be nice if you could compare and contrast this with the Lorentz time transforms.

[Stormsson]

What's the difference between these transformations and the ones in one of the previous video: tA = tB/sqr(1-u^2/c^2). when to use the former and when to use these ?

[danideboe]

Why is x' in the second equation equal to the x' in the first equation. I do not understand that because for the second equation you say that S' is stationary.

[methos]

I don't understand why you can use both equations in a system when x is a different value in the two situations.

[danideboe]

Is that because you multiply 1/gamma with x' ?

[oneinabillion]

Hi sir, in the 1st part u assumed U as the velocity of S'. In part 2 u again assume U as velocity of S. What if they are not the same?

[orchoose]

Hello, pls can you explain what is the difference between t t' and tA tB ...i can see its xu/c^2... but if tB is time observed in B frame what is t' than? Thank you.

Maybe i got it. relation between tA and tB tell you how to transform time of intervals and relation between t and t' tells you time difference since start of movement?

[nsq]

How can we substitute x' in the first equation? The x' is different in both the equations

[amadsafi]

Why is the distance measured to A -u*Tb and not -u*Ta?

[biggbuck]

Is the event stationary with respect to S'? or is the event stationary with respect to S?

[chavab]

do you have a video where you plug is actual numbers (relative to c)?

[hokunkim]

refer to "Wrong is Einstein relativity theory from Lorentz transformation" on YouTube