Observed Moving Rod Contraction
When a rod travels away from the observer, the image of the end of the rod
closest to him takes less time to reach him than the image of the front end
of the rod. Consequently it will appear to be shorter than it really is.
This shortening effect becomes more noticeable the faster the rod travels
and the longer it is.
The Observed distance (X) a moving body has traveled at time t is equal to:
X = tvc / (v+c), as compared to the Actual distance traveled which is tv.
Where t is the time at which the observation is made, v the velocity of the
object away
from the observer, and c is the speed of light.
See my paper "Frames of Reference", formula [2], at my website at:
http://www2.rideau.net/gaasbeek
Similarly, if the Actual length of the rod is equal to (S) it follows that
its Observed length
(S') is equal to:
S' = Sc / (v+c)
That is to say, the Observed rod will appear shorter than it Actually is by
a factor of:
c / (v+c).
Enjoy, Len.
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