SR, Doppler effect on rotating disk

by bigerst
Tags: disk, doppler, effect, rotating
 P: 57 1. The problem statement, all variables and given/known data taken directly from Rindler A large disc rotates at uniform angular velocity ω in inertial frame S. Two observers O1 and O2 ride on the disc at radial distances r1 and r2. They carry clocks C1 and C2 they adjust to keep with clocks time with S, i.e., they have been adjusted so the readings on the agrees with the clock in S. Prove that when O1 sends a light signal to O2 the light is Doppler shifted to $v2/v1 =\gamma_2/\gamma_1$. 2. Relevant equations Well, since it says the clocks have been adjusted, I'm assuming only Newtonian transformations are applicable here, so t=t'. 3. The attempt at a solution I tried doing this problem in terms of increasing wavelength, but from geometry, I found that each photon travels the exact same distance. Since it says the clocks are calibrated, time dilation isn't relevant either, so I'm guessing I did something wrong.