Relativity Physics and Science Calculator - Stationary vs. Moving Clocks .
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moving clock relativistic time


Stationary vs. Moving Clocks

"Science is the belief in the ignorance of the experts" - Richard Feynman ( 1918 - 1988 )

§ Assume: moving clock relativistic timesystem is moving "inside" stationary moving clock relativistic time system with velocity moving clock relativistic time and is carrying the following clock consisting of a light - flash source and a receiving photocell. One "clock tick" consists of a roundtrip light - flash and photocell reception:


stationary vs. moving clock
suggested source of diagram: Richard Feynman's " Lectures on Physics - Vol. I "

Employing simple algebra for the above Stationary Clock (a) in moving clock relativistic time system versus Moving Clock (b) in moving clock relativistic time system, we get the following: 

Lorentz factor difference

dilated time

So as 

body object velocity increase

What this all means is that as viewed from within Stationary system moving clock relativistic time, time in Moving system moving clock relativistic time

dilated time

will appear to move more slowly - i.e., relative units of time become comparatively expanded - as relative velocity

moving clock velocity

increases as between Stationary system moving clock relativistic time and Moving system moving clock relativistic time.

Inside the Moving system moving clock relativistic time, rest time 

rest time

however moves at a "normal rate".

In conclusion, any "moving clock" moving at a uniform velocity in an inertial ( non - accelerating ) frame of reference relative to a stationary observer's clock will therefore appear to run slower!

moving clock relativistic time

§ Time dilation:

moving clock relativistic time

This concept of relativistic time dilation in special relativity is also shown in this American Museum of Natural History - "A Matter of Time" movie as well as PBS's NOVA Science program of the 1971 time dilation experiment aboard a transatlantic British Airways flight:

source: American Museum of Natural History - "A Matter of Time"
[ note: for those who cannot view this page whole, see quicktime movie ]


source: PBS's NOVA Science - "Time Dilation Experiment, 1971"
[ note: for those who cannot view this page whole, see quicktime or flash movie ]

Observed Facts: Flying eastward and then westward from the stationary U.S. Naval Observatory, General Relativity predicted a time loss of 40 ± 23 nonoseconds on the eastward bound and a time gain of 275 ± 21 nanoseconds for the westward trip; the actual eastward loss was 59 ± 10 nanoseconds going eastward but gained 273 ± 7 nanoseconds for the westward trip!!

§ Another derivation partially using both (c) above and referring back to "Albert A. Michelson & the Aether-Part II":

distance-velocity-time

dilated time derivation

§ Please also refer back to "Albert A. Michelson & the Aether-Part II" as the mathematics is identical although the problem herein is subtly different.


moving clock relativistic time

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