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Lecture_33

# Lecture_33 - PHYS 342 Fall 2010 Lecture 33 Time Dilation...

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PHYS 342 F ll 2010 Fall 2010 Lecture 33: Time Dilation and Length Contraction Ron Reifenberger Birck Nanotechnology Center Purdue University Time dilation and length contraction are two of the most surprising implications of the Lorentz- Einstein transformations of special relativity Einstein transformations of special relativity. 1 Lecture 33

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What is Space? Space is what we measure with a measuring rod What is Time? Ti i h i h l k Time is what we measure with a clock NOTE In some of the examples that follow, we will require the difference in coordinates for a pair of events In other examples the 2 pair of events. In other examples, the coordinate of some object (like a clock) will remain the same. (see last lecture.)
How do we tell time? Light Clocks (no mechanical parts) http://webphysics.davidson.edu/course_material/py230l/relativity/relativity-ex1.htm 3

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Clock at rest in S’ frame Time Dilation y’ S S’ in S frame ' ' ' f x x v t y y y y v f t 1 t 2 ' ' ' f z z v x t t x x’ x’ 1 2 2 ' f c u v u 1 ' f v c u 1 1 1 2 ' ' f v x t t c Trust the equations: Takes you f S ’ t S 1 2 2 2 ' ' f v x t t c from S ’ to S 2 1 2 1 ' ' ' t t t t t t   4