Well Chris,
This is a legacy note that I wrote to you. I was gonna toss it, because I'm not going to bother debating you anymore. I've been struggling to find some redeeming feature in your character here that'd justify it. Can't find one. Especially the insulting 'tude.
So, here's some more bad news for ya regarding fall times. Trust me, I KNOW that you won't get it...
Since it appears that numbers & math discussion means nothing to you, I thought that I'd draw you a picture.
I've calculated the acceleration of the roofline of WTC7 using NIST's data (same as Chandler's) and the mathematical technique that Chandler used on the raw data - the "center difference approximation" (aka, "CDA") that I said introduced noise into the conclusions. The purpose of this is to show you HOW MUCH noise this technique puts into the analysis.
Chandler took the perfectly good position data, and performed a CDA to get velocities. He assumed that these velocities were appropriate for the midpoint in time between his position data points.
I have done exactly the same thing, only one more time. (Hey, if the technique is good once, it must be good twice, right??) I took the velocity data and applied a CDA to calculate acceleration, and assumed that acceleration would be true for the midpoint in time between the velocity data points.
Here are the results.
[qimg]http://www.internationalskeptics.com/forums/%5Bimg%5Dhttp://www.internationalskeptics.com/forums/vbimghost.php?do=displayimg&imgid=16761%5B/img%5D[/qimg][qimg]http://www.internationalskeptics.com/forums/picture.php?albumid=176&pictureid=1276[/qimg]
There are 4 plots of acceleration vs. time on this graph.
1. An object that is REALLY in free fall (red line)
2. My calculation of acceleration vs. time from a double differentiation of the position vs. time data. (blue line)
3. Chandler's reported "constant approximately G" value (heavy green straight line between 1.75 & 4.0 seconds.)
4. The Instantaneous accelerations, based on "Central Difference Approximation" applied to the calculated velocities. (light green wavy line.)
The heavy green line IS, in fact, the "linear average" of that ridiculously wavy light green line. Pretty gacky data, eh Chris?
Chris, this is the REAL results of plotting Chandler's conclusions, using Chandler's method. I simply used Chandler's method one more time than Chandler did.
So, while you're moaning & groaning that MY analysis cannot be right because it produces short term accelerations up to 108% of free fall, I will point out to you that Chandler's calculation show short term accelerations of 133% of free fall acceleration. And then 94% G, 163% G, 42% G, 132% G, 73% G, 130% G, 32% G & 111% G.
Which Chandler then took and "linearized" to 101% G.
And verbalized to "essentially free fall".
I don't suppose that ANY of this is sinking in...
Tom.
PS. BTW, Chris, this is a quote taken directly from Chandler's website: It refers to his previous calculation of the acceleration of the fall of the WTC towers.
From:
http://www.911speakout.org/
Faster than Gravity (Removed)
"I removed this video because when I did additional runs at different resolutions, I always got extreme accelerations, but not the same amounts in the same places. This made me skeptical of the procedure. Finding accelerations from position data involves double numerical differentiation, a process that can amplify "noise" in the data. The raw data in this analysis is the inherently noisy positional measurement of cloudy material, and the conclusions were based on the short term variations in the acceleration. This raises the likelihood that the extreme accelerations are artifacts. The WTC7 measurements (above) do not suffer the same defect because (1) they are measuring the motion of a more definite point of solid material, and (2) the conclusions are based on long term average acceleration."
Any of that sound familiar, Chris. Can you read into Chandler's (admirably honest) statement here that there are potential sources of error (aka "artifacts") that are purely the result of mathematical technique. Have you learned that all experimental technique is not created equal?
Naahhhh. What was I thinking...??