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Different lengths of time between the same two events

  1. Oct 24, 2006 #1
    the sun set on october 23, 2006, at longitude E 0.0 and latitude N 0.0 at 17:48, and it set on october 24, 2006, at the same location at 17:48. let's say that the length of this period of time t is 86400 s.

    let's say that i am stationed at longitude E 0.0 and latitude N 0.0, and that i actually measure the period of time t = 86400 s with a clock next to me. i could change the tick-rate of my clock, so that the period of time between the two said sunsets is t' = 2*t, or change the tick-rate of my clock, so that the period of time between the two said sunsets is t" = 0.5*t.

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    let the blue clock be a clock situated at the north pole of the earth.

    let the red clock be a clock situated at longitude E 0.0 and latitude N 0.0.

    let the white clock be a moving clock, moving directly away from the center of the earth with a velocity v = 0.5*c.

    let the three clocks synchronize when they where at rest relatively to each other.

    let t be the length of the period of time between the said two sunsets, measured using the blue clock (i am stationed at the north pole, next to the blue clock).

    let t' be the length of the period of time between the said two sunsets, measured using the red clock (i am still stationed at the north pole, next to the blue clock).

    let t" be the length of the period of time between the said two sunsets, measured using the white clock (i am still stationed at the north pole, next to the blue clock).

    and let T be the length of the period of time between the said two sunsets, measured using the white clock (but this time i am moving along with the white clock next to me).

    what would be the value of t, t', t", and T, and how did you arrived at those values? thanks!
     
  2. jcsd
  3. Oct 27, 2006 #2

    berkeman

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    Staff: Mentor

    This is homework, but it looks like it belongs here for now.
     
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