Kinetic Energy
My first thought was of the B-25 that crashed into the Empire State Building in 1945. That accident (they were lost, in weather) caused a small handful of deaths (about a dozen), and about a million dollars in damage, which was serious enough, and big news at the time. The structure of the Empire State Building was not seriously damaged, and since the WTC buildings were still standing after the airliners struck them, I figured the big twin towers would probably be okay, too.
The B-25 grosses at 28,000 pounds, and the 767s at roughly 250,000, depending on the model. Roughly ten times the weight, so ten times the kinetic energy. Taking a wild guess at the speed at impact, assuming the B-25 hit at 150 knots and the 767s at 600 knots, that's four times the speed. Yes, redline indicated airspeed for a 767 is under 400, but I doubt they were paying much attention to the manual, or limitations, and they were MOVING. Energy varies with the square of the speed, so that's 16 times the energy from speed, or a total of 160 times the energy of the B-25 that slammed into the Empire State Building. With those numbers in mind, I wondered how the buildings were still standing after the impact.
For some perspective, take a look at this chart:
Click for larger image.
I have assumed a weight of 20,000 pounds for the B-25, and an impact speed of 150 knots for that actual incident. I do not know what the real figures were, but that's close enough to establish an approximate data point, and by the time we look at the higher speeds and weight, any small errors will be lost in the noise.
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Boeing 747 | 409,684,764,222 | 800,000 | 600 |
Boeing 767 | 128,186,722,222 | 250,000 | 600 |
B-25 | 640,933,611 | 20,000 | 150 |
Bonanza | 384,560,167 | 3,000 | 300 |
Aircraft TypeKinetic Energy foot-poundsWeight poundsSpeed knots
This compares an actual accident (the B-25), with three other airplanes used as weapons. Note the relatively small energy of a Bonanza, even at 300 knots. It's about half that of the B-25, which is six times heavier. Both absolutely pale in comparison with the big jets. I cannot help but wonder, if we're so worried about future terrorist incidents, why were the big airplanes flying, and the small ones grounded?
But what difference does all that make? Those who hate airplanes, or who don't understand how important general aviation is, will take the attitude they don't even want RC models flying around, for fear they may be used as weapons. Few outside our small community see small airplanes as anything but toys for the rich, and I'm not sure we'll ever convince anyone otherwise. Pity.
The HorrorThe fire, that awful fire, clearly visible even from a great distance, kept burning on multiple floors, and I began to wonder what was burning. Then I thought of the thermal energy contained in 10,000 gallons of jet fuel, guessing at the amount, not really knowing how much they were carrying. That could vary greatly with the flight plan distance, which I didn't know.
I began to realize with mounting horror that those buildings were doomed, and were coming down. It was just a matter of time until the steel structure heated up enough to weaken just enough to begin bending, and once that happened, it would be all over. Watching them come down numbed me to the soul. I believed at first that there might have been 100,000 deaths. Without knowing anything about the buildings, I guessed at 200 people per floor, or 40,000 within the towers, plus probably an equal number in the surrounding very large buildings.
I am so glad I was wrong on that. It could have been that bad, but for several fortunate circumstances (if we can call anything about this event "fortunate"). The first one hit high, killing "only" those on and above those floors. That gave precious time for those lower in the building and most in the second tower to get out, saving tens of thousands. The second impact was lower than the first, but by then, most people on and above those floors were already below that point.
We'll never know for sure how many died that day. Authorities began talking of "hundreds," and reluctantly raised it in steps to the current number approaching 7,000. For a little perspective, we kill about seven times that number every year on the highway. No, I know, that doesn't help me, either.
Pilots and Politicians