I don't think I've ever seen the average velocities of collapsing buildings compared before - so I wasn't thinking along those lines, but now I see what you are saying.
To be honest, I just don't know if it is useful to be making that comparison. As I am sure you are aware the force of gravity causes falling objects to accelerate. The distance covered is proportional to the square of the time - so given the same rate of acceleration, if a building took twice as long to fall, it would actually be four times as tall. However, the average velocity is directly proportional to the time, so the average velocity for the building that was four times taller would actually be twice that of the shorter building.
I'll add a couple more average velocity measurements to see what you think.
building height time average velocity
Liberty Tower 380 ft 11.0 s 34.55 ft/s
WTC2 1362 ft 39.4 s 34.57 ft/s
We know the Liberty Tower was a controlled demolition - so, hypothetically speaking, if WTC2 took 39.4 seconds to collapse, would it be indicative of a controlled demolition because the average velocity would be the same as the Liberty Tower collapse?
I think it is more useful to compare a buildings average collapse acceleration with gravity. I've seen this done a number of times and have done it myself. Here are the final figures for the two structures from your post (the time used for WTC1 also comes from your post):
building height rate of acceleration compared to gravity
cooling tower 500 ft 15.6 ft/s² -51.4%
WTC1 1368 ft 8.4 ft/s² -73.7%
So even though the average velocity for WTC1 is slightly higher than the cooling tower, the average rate of acceleration is quite a bit slower.
I just think it is more useful to say a building fell some percentage amount slower than a free-fall collapse. I've had plenty of people disagree with me about measuring it this way. And they are right - this is just to get a rough idea of how '
fast' or '
slow' a building came down. To really do it accurately would probably require a complex computer simulation - which I don't have the equipment or knowledge to do properly. I've just been using simple physics equations and a spreadsheet - it doesn't give me the precise answer, but I think it at least allows me to make useful comparisons.
- Make7