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Originally posted by exponent
This is where you make a mistake. What you are assuming here is that the mass is accelerating horizontally throughout its entire fall, which is not the case. In fact the unit suffers an initial violent acceleration until it is ejected from the building, and a deceleration due to air resistance afterward.
Originally posted by bsbray11
The horizontal component in reality did not accelerate over time, but was imparted with an initial velocity from a force and then just sailed out into the air, only having air to resist it, until it hit the ground.
In fact what you need to divide is the average speed. 150m in 9 seconds is an average speed of 16 2/3m/s.
The problem is that we don't know how long the force was exerted to eject the mass but let us take a ballpark figure of 0.2s. This gives us the following formula to put into the simple equations of motion: en.wikipedia.org...
u=0
v=16.7
t=0.2
v = u + at or 16.7 = 0.2a
which can be rearranged as
a = 16.7/0.2
This gives us an acceleration of 83.3m/s/s requiring force 907*83.3=75,553.1N.
This is not a gigantic amount of force, using the ballpark of 10N = 1kg, this is the same as a weight of 7.5 tons. The upper sections of each tower weighed in the region of a hundred thousand tons.
I would say both your claims are wrong. NIST primary purpose was to determine the causes of the collapses, not to disprove anything. Employing the scientific method, their conclusions precluded the controlled demolition theory. And separately NIST investigators addrssed the claim of controlled demolition and possibility of thermite being used.
A summary below of NIST questions and answers, including the thermite claim.
Originally posted by jprophet420
The NIST report did not in fact determine the cause of the collapses. It determined that the pancake collapse could have been initiated under the circumstances with manipulated data.
wtc.nist.gov...
NIST concluded that the WTC towers collapsed because: (1) the impact of the planes severed and damaged support columns, dislodged fireproofing insulation coating the steel floor trusses and steel columns, and widely dispersed jet fuel over multiple floors; and (2) the subsequent unusually large jet-fuel ignited multi-floor fires (which reached temperatures as high as 1,000 degrees Celsius) significantly weakened the floors and columns with dislodged fireproofing to the point where floors sagged and pulled inward on the perimeter columns. This led to the inward bowing of the perimeter columns and failure of the south face of WTC 1 and the east face of WTC 2, initiating the collapse of each of the towers. Both photographic and video evidence—as well as accounts from the New York Police Department aviation unit during a half-hour period prior to collapse—support this sequence for each tower.
NIST’s findings do not support the “pancake theory” of collapse, which is premised on a progressive failure of the floor systems in the WTC towers
[...] Instead, the NIST investigation showed conclusively that the failure of the inwardly bowed perimeter columns initiated collapse and that the occurrence of this inward bowing required the sagging floors to remain connected to the columns and pull the columns inwards. Thus, the floors did not fail progressively to cause a pancaking phenomenon.
NIST’s findings also do not support the “controlled demolition” theory..
[...]
Video evidence also showed unambiguously that the collapse progressed from the top to the bottom, and there was no evidence [...] of any blast or explosions in the region below the impact and fire floors as the top building sections (including and above the 98th floor in WTC 1 and the 82nd floor in WTC 2) began their downward movement upon collapse initiation.
In summary, NIST found no corroborating evidence for alternative hypotheses suggesting that the WTC towers were brought down by controlled demolition using explosives planted prior to Sept. 11, 2001. NIST also did not find any evidence that missiles were fired at or hit the towers. Instead, photographs and videos from several angles clearly show that the collapse initiated at the fire and impact floors and that the collapse progressed from the initiating floors downward until the dust clouds obscured the view.
Originally posted by bsbray11
That's exactly what I said:
If you average in the original acceleration from rest (whether it happened in a split second) to the acceleration when it had already reached its final velocity (relatively speaking) it makes no difference in terms of total energy used to get there in the total amount of time.
You just implied that the 1-ton mass accelerated at 83m/s^2. If you worked out the rest of the numbers around that, I'm pretty sure you would find it wouldn't work out quite the same as what I did above.
That force can't be applied over the whole 9 seconds it took for the debris to hit the ground, so you are measuring a different force than I am.
You need to use the average acceleration of the whole time period I am looking at, not just the acceleration for the 0.2 second period only.
You forget that 80%-90% of the masses of both towers were ejected in this way, not just isolated pieces:
So the energy required to send all this debris flying outward would have added up very rapidly, not to mention all that mass can no longer contribute to crushing the tower down further and further anymore. And yet the collapses continued as if it didn't even matter.
Originally posted by exponent
As long as the final velocity is identical then the equation for kinetic energy will still be the same, but we know that a force was not applied throughout the entire fall, it was in fact applied only at the beginning.
No force can apply 8kN horizontally to an object flying through the air but we have a good explanation of why the building would impart 75kN for a short period during collapse.
Exactly, there is no reason to suppose that the object accelerates once it has left the tower
You need to use the average acceleration of the whole time period I am looking at, not just the acceleration for the 0.2 second period only.
Why?
You forget that 80%-90% of the masses of both towers were ejected in this way, not just isolated pieces:
Where is the information that indicates 80-90%? I think it's more likely it was 30-40%.
There is no magic behind this, as I'm sure you are aware, Dr Greening, Dr Bazant et al have done excellent work on identifying the required energy to fail the towers. We can go into that if needed but this is not the thread.
In the NIST report they admit to excluding much of the evidence that could imply CD was used. This does not imply that CD was or was not used, however it is illustrates that the scientific method was averted. In other words admitting that the steel was shipped off and not tested rules out the possibility that an experiment was undergone to determine the chemical composition of the steel.
The second scenario I must point out is the computer recreations that showed the initiation of the collapse actually required several reworkings to bring the simulation to collapse initiation. This averts the scientific method in that no new hypothesis was cunstructed upon failure of the experiment.
And finally, I look at the trickery in the question that is being asked in the first place. The question I want to know is "Were the twin towers broght down by and as a direct result of the jetliners that crashed into them?" The question that the NIST asks is "Was it possible for the airliners to initiate global collapse?"
Video evidence also showed unambiguously that the collapse progressed from the top to the bottom, and there was no evidence [...] of any blast or explosions in the region below the impact and fire floors as the top building sections (including and above the 98th floor in WTC 1 and the 82nd floor in WTC 2) began their downward movement upon collapse initiation.
unequivocal: admitting of no doubt or misunderstanding; having only one meaning or interpretation and leading to only one conclusion
NIST concluded that the WTC towers collapsed because:
Originally posted by GenRadek
But I guess you would rather just use techno-jargon of physics to sound smarter and talk down to me, when in reality you really arent too sure what the heck is being said.
Originally posted by exponent
I don't know why today you are suddenly so aggressive, but your understanding of the situation is incorrect as your equation is based on a continuous acceleration.
However, we know that this did not actually occur! As you stated in reality the object experienced a brief period of rapid acceleration, and traversed the whole distance at a constant velocity.
Originally posted by exponent
However, we know that this did not actually occur! As you stated in reality the object experienced a brief period of rapid acceleration, and traversed the whole distance at a constant velocity. That velocity, (150/9) is the amount we need to calculate kinetic energy as follows:
E_k = 1/2mv^2 = 453.5 * 16.7^2 = 126476.615 = 126KJ
Originally posted by bsbray11
Once again, no, it isn't. I'm going to stop explaining this, as you obviously aren't paying attention to what I am saying.
Given,
d=150m (TOTAL distance traveled)
t=9s (TOTAL time elapsed)
initial velocity = 0
Now solve this equation!:
d=v0+( (1/2)a(t^2))
Solve this equation for "a."
Yes, as I stated. I am well aware of the fact, I stated it in the very first post on this subject, when you ignored it and assumed I was unaware of this fact. However, YOU are apparently ignorant to the fact that it DOES NOT MATTER when you are calculating the net force, because you have to use the AVERAGE acceleration OF THE WHOLE PERIOD OF TIME IN WHICH YOU ARE ANALYZING.
I could not be more clear than that. It sounds to me as if you're begging to join pteridine on my ignore list, but please, solve the equation I posted above for "a". Please please please solve it and tell me what number satisfies it! Then tell me the equation is wrong, or any of the variables I provide are not justified!
Originally posted by tezzajw
Bear in mind that this is for an object ejected at a height of 396m.
The energy required for a block ejected at a lower height, travelling 150m, will be more.
I'm not sure if any particular pieces of wreckage have been identified with regards to their initial height and their ejection distance. That data would give us better figures to play with.
...and then travelled 150m in 9 seconds decelerating slightly due to air friction....
Originally posted by P1DrummerBoy
Are you suggesting that an object falling from somewhere on the building down to the ground will SLOW DOWN due to air friction?
Common sense tells me that objects would ACCELERATE in this situation, I learned that when I was 5, or at least I think I did.