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Looking at the formula for time dilation due to speed (as opposed to altitude or gravity), T=to/sqrt1-V^2/C^2 I am confused as I have also seen the equation T=to/sqrt(1-v^2/c^2)^.5 Which is correct?

 Feb 23, 2016
 #1
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What you may have seen is either a hybrid your mind made up or a typo as

sqrt(1-v^2/c^2) is the same as (1-v^2/c^2)^.5

I have dealt in these formulas however so I do not know

 Feb 23, 2016
 #2
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The formula is: 1/ [Sqrt(1 - V^2)], where V=fraction of the speed of light. Example: A spaceship is travelling at .99 of the speed of light, calculate the time passed on the spaceship compared to the time elapsed on Earth.
1/ [Sqrt(1 - .99^2)]=1/ [Sqrt(1 - .9801)]=1/[Sqrt(0.0199)]=1/0.141067=7.0888. This is the time elapsed on Earth(in years if you wish), while 1 year has passed on the spaceship.

 Feb 24, 2016

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