For the precise synchronization of the atomic clocks at the National Institute f

Question

For the precise synchronization of the atomic clocks at the National Institute for Standards and Technology at Boulder, Colorado, and those at the Bureau International de l'Heure at Paris, France, physicists carried portable atomic clocks from one location to the other. Roughly estimate how many seconds such a traveling clock loses relative to the clocks fixed on the surface of the Earth during the trip from Boulder to Paris. The distance between Boulder and Paris is about 8000km, and the rotational speed of the latitude of Boulder or Paris is ~300m/s.

Explanation / Answer

time interval mesured in earth frame of reference,       t= distance /velocity         = (8000000m) /(300m/s) time measured in the moving frame of reference                t' = t        = 1 /[1- (v^2 /c^2)] delay in the clocks          t = t -t'                       

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