Time in a Uniformly Rotating System

Michelle Caler

Advisor: Dr. Shimon Malin

Einstein, in his 1931 book on relativity, shows how space and time are affected by uniformly rotating reference frames.   He does so by considering what an observer in an inertial        reference frame would observe when looking at clocks in the rotating frame.  This approach is used to determine the rate at which clocks tick as a function of radius in a rotating reference frame.  However, this method does not answer the  question of whether an observer in the rotating reference frame will agree with the observations made by the  outside inertial reference frame.  This research presents a new derivation of this the rate of ticking of clocks without reference to the inertial frame, and will show that it is in agreement with Einstein's derivation.