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Homework Help: Time Dilation at very slow speeds.

  1. Apr 22, 2012 #1
    1. The problem statement, all variables and given/known data

    Hi, I have a question which asks me to find the time difference (difference between a stationary frame and one that is moving at 30m/s for 1 hour) it has asked me to use binomial approximation and I am kind of lost as to what I need to do to solve the equation.

    2. Relevant equations

    τ=τ[itex]_{0}[/itex][1+(v[itex]^{2}[/itex]/2c[itex]^{2}[/itex])] obtained from here

    3. The attempt at a solution

    1hour is 3600S. I know how to do binomial but I can't figure out how to do this one. Any help would be appreciated. I've used excel with a lot of decimal points and got an answer of around 1.8x10^-11 but that answer is not accepted
    Last edited: Apr 22, 2012
  2. jcsd
  3. Apr 22, 2012 #2


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    Science Advisor

    I think you dropped the factor of 2 in the denominator.
  4. Apr 22, 2012 #3
    thanks for pointing that out, I have fixed the equation but still have the same problem
  5. Apr 22, 2012 #4


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    Science Advisor

    I also got 1.8*10^-11 seconds. I don't know why this is not accepted.
  6. Apr 22, 2012 #5
    Have you used the binomial approximation? if so I will be complaining at uni tomorrow about the damn thing.

    It has asked for 3 sig figures and I entered 1.82x10[itex]^{-11}[/itex] and usually it would accept it when its very close.
  7. Apr 23, 2012 #6
    Solved now, problem with the marking system. btw just a typo in my earlier post with 1.82x10^−11, meant to be 1.80*10^-11
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