# Lecture_34 - PHYS 342 Fall 2011 Lecture 34: Simultaneity...

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PHYS 342 Fall 2011 Lecture 34: Simultaneity Becomes Relative plus Experimental Verification of Time Dilation Ron Reifenberger Birck Nanotechnology Center Purdue University 1 Lecture 34

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Simultaneity Becomes Relative Two identical synchronized clocks t rest in S’ frame '' f xx v t   y’ v f S’ y S at rest in S frame ' ' yy zz t 1 t 2 2 ' ' f vx tt c t 1 t 2 x’ x x’ 1  2 ' 1' f f uv u vc u x’ 2 In frame S’, the time difference between t’ 1 measured at x’ 1 and t’ 1 measured at x’ 2 is 0. We say the clocks are synchronized in the S’ frame. 2
' x An observer in frame S measures the time t 1 on both clocks. Does he conclude that the clocks are synchronized? ynchronized clocks in a 1 11 1 2 (' ) ' ' f vx ta t x t c x     Synchronized clocks in a moving frame appear to differ from one another by an amount that depends on 2 12 1 2 1 ) ' ( '' ) f t x t c x their exact locations. The “same instant of time” in one system is NOT identical to e “same instant of time” in 21 1211 2 ) ( ' ) ' ) f t x t x c x x  0.100 0.300 0.600 0.800 0.900 0.950 0.990 f vc  the same instant of time in another system. c  Trust the equations! 0.995 0.954 0.800 0.600 0.436 0.312 0.141 1.005 1.048 1.250 1.667 2.294 3.205 7.092 2 1 2  0.101 0.314 0.750 1.334 2.065 3.045 7.021 3

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It’s important to distinguish etween different situations between different situations that are closely related 4
Initially, when both frames are at rest, ALL clocks in S and S’ are synchronized y’ v f = 0 S’ ’ = 0 t = 0 x’ S v = 0 = 0 y f t 0 5 x

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Let frame S’ acquire a elocity nd fly by frame S velocity v f and fly by frame S n important question: Does An important question: Does the observer in one frame watch all clocks or just one clock in the other frame?
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## This note was uploaded on 12/08/2011 for the course PHYS 342 taught by Professor Staff during the Fall '08 term at Purdue University-West Lafayette.

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Lecture_34 - PHYS 342 Fall 2011 Lecture 34: Simultaneity...

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