Assured by an observer on tire spacecraft what is length mea

Assured by an observer on tire spacecraft, what is length measured by a ground observer? irver on earth? An atomic clock is placed in a jet airplane. The clock measures a time interval of 3600 s when the jet moves with a speed of 400 m/s. How much longer or shorter a time interval does an identical clock held by an observer on the ground measure?

Solution

T = t/sqrt(1-V^2)
T(1-V^2) = t

V=400/3e8 m/s ~= 1.667e-6

V^2 might have one bit significance subtracted from 1. We\'d need double precision to even begin to predict a difference that small.

3600 s.