User:John R. Brews/CZ psychology authors: Difference between revisions
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http://www.charlierose.com/view/interview/11891 | http://www.charlierose.com/view/interview/11891 | ||
Before we conclude that clocks we perceive as moving actually run slower than clocks that appear stationary, so they count two events as taking less time if the clocks are moving, there is a wrinkle to examine. On the train, the light is sent and received at the same location, so the same clock records departure time and arrival time. On the track, though, the location of the flashlight changes with time, so two clocks are needed, one at the sending location and one at the receiving location. Can we be sure the two clocks are synchronized? | |||
To synchronize the clocks on the ground, a light beam is sent from one location to the other. Because light travels at speed ''c'', it will arrive at the other location a time ''L/c'' later. Thus, we set the distant clock to time ''L/c'' when the light arrives. That is the method for synchronizing separated clocks. | |||
From the train however, these clocks are not synchronized. The distance ''L=vt'' used by the track observers is not the correct separation, which is a shorter distance ''vt' ''. Consequently, the distant clock is set to the wrong time of arrival for the synchronizing light, namely ''vt/c'' instead of ''vt'/c''=''vt √(1-''v''<sup>2</sup>/''c''<sup>2</sup>)/c''. Instead of ''L'', the track observers should have used ''L''√(1-''v''<sup>2</sup>/''c''<sup>2</sup>), the so-called ''Lorentz contraction'' of ''L''. | |||
Revision as of 00:15, 2 October 2011
CZ psychology authors
- User:John_Calvin_Moore
- User:Douglas_Griffith
- User:Michael J. Formica
- User:Patrick Malone
- User:Richard Pettitt
- User:Michael S. Everhart
http://www.charlierose.com/view/interview/11891
Before we conclude that clocks we perceive as moving actually run slower than clocks that appear stationary, so they count two events as taking less time if the clocks are moving, there is a wrinkle to examine. On the train, the light is sent and received at the same location, so the same clock records departure time and arrival time. On the track, though, the location of the flashlight changes with time, so two clocks are needed, one at the sending location and one at the receiving location. Can we be sure the two clocks are synchronized?
To synchronize the clocks on the ground, a light beam is sent from one location to the other. Because light travels at speed c, it will arrive at the other location a time L/c later. Thus, we set the distant clock to time L/c when the light arrives. That is the method for synchronizing separated clocks.
From the train however, these clocks are not synchronized. The distance L=vt used by the track observers is not the correct separation, which is a shorter distance vt' . Consequently, the distant clock is set to the wrong time of arrival for the synchronizing light, namely vt/c instead of vt'/c=vt √(1-v2/c2)/c. Instead of L, the track observers should have used L√(1-v2/c2), the so-called Lorentz contraction of L.