Chapter 20 - Relativity - Davidson Physics

Announcements Review The Twin Paradox Length Contraction Final QuestionsTime dilation∆t =∆t 0√1 − v 2 /c 2To distinguish between these two measurements, we use the following terminology:When two events occur at the same location in an inertial reference frame, the time intervalbetween them, measured in that frame, is called the proper time ∆t 0Measurements of the same time interval from any other inertial reference frame are always greaterIn other words, moving clocks are observed to run more slowly than clocks at rest in the observer’s ownframe of referenceThe increase in the time interval between two events from the proper time interval is called time dilationThe Lorentz factorWe define the Lorentz factor γ > 1 asγ =1√1 − v 2 /c 2The time dilation equation then takes the convenient form ∆t = γ∆t 0Relativity