bill smith
Philosopher
- Joined
- Feb 14, 2009
- Messages
- 8,408
I think you are confusing TjW with tfk.
Possibly.Thanks
I think you are confusing TjW with tfk.
Bill never checked my math? Did I get close?The WTC tower took off at .35 feet per second after the impact of Flight 11. Where is it now? Did the WTC tower move 1000 feet before it collapsed?
Bill never checked my math? Did I get close?
I quickly worked out a rough value of about 11 cm/s which isn't too far off .35 ft/s but it's assuming an awful lot about the collision that wouldn't be the case.
I would be interested to know if he (or any CTist) EVER posts anything other than self-deluding nonsenseWhat is his purpose? What is his goal and conclusions? So far all he does is spread lies about 911 all over the Internet.
I would be interested to know if he (or any CTist) EVER posts anything other than self-deluding nonsense
As this seems highly unlikely, I'm unsubscribing from this thread
Did you cut your signature short ?

Does anybody think that FEMA was being misleading by putting this graphic in their official report ? This depicts a 747 going through the core columns. Can anybody speculate why they would have used a lane for the graphic that is twice the size of a 767 ? Could they not just as easiiy have depicted a far smaller 767 ?
Figure 5 (from the study). Results of simulation analysis of impact of a 747 jetliner crashing into a steel structure. Notice fracture of the steel column and breaking of the plane due to dynamic stresses (Graphics and analysis by MSC Software Corporation).
This stuff is fascinating. I've been watching one or two of Walter Lewin's lectures I'll have to take time with this though. hanks for the info. How would you write this in scientific notation incidentally ?
''and its final velocity is the velocity of the airliner, multiplied by the mass of the airliner, divided by the sum of the two masses''
Vf = Va x Ma / (Ma + Mb),
where,
Vf is the final velocity of the composite structure,
Va is the initial velocity of the airliner,
Ma is the mass of the airliner, and
Mb is the mass of the building.
In this case we set the initial velocity of the building to zero. A more general case is,
Vf = [(Va x Ma) + (Vb x Mb)] / (Ma + Mb),
where Vb is the initial velocity of the building; however, since all the velocities are vectors (which is why they're in bold type), in this case the final velocity comes from a vector sum; you need to choose a set of x, y and z axes, calculate the component of velocity parallel to each axis, and add them separately. That isn't necessary in the case where either the building or the airplane is initially stationary, because the initial and final velocity must be in the same direction.
This all assumes that the collision is perfectly inelastic. That's not exactly true, but it's a good enough starting approximation in this case.
Dave
Vf is the final velocity of the composite structure,
Va is the initial velocity of the airliner,
Ma is the mass of the airliner, and
Mb is the mass of the building.
(I used tons and mph).
So if....
Vf = Va x Ma / (Ma + Mb)
Then...
590 x 150 / (150+500.000) = 88.500 / 500.150) = 0.176946916
Vf = 0.176946916 (mph ?)
Is this right ?
Vf is the final velocity of the composite structure,
Va is the initial velocity of the airliner,
Ma is the mass of the airliner, and
Mb is the mass of the building.
(I used tons and mph).
So if....
Vf = Va x Ma / (Ma + Mb)
Then...
590 x 150 / (150+500.000) = 88.500 / 500.150) = 0.176946916
Vf = 0.176946916 (mph ?)
Is this right ?
Yes, for the starting numbers you've used. In this case the units aren't an issue because they cancel out, so mph and tons is OK; be careful about mixing units in any more complex calculation, though; in general it's best to convert everything into kilogrammes, metres and seconds (I've made one or two real howlers here as a result of failing to do that). I think the best value for the mass of the building is rather lower - about 280,000 tons rings a bell - but your maths is fine.
That'll give you an estimate of how fast the building recoils in the first instant after impact. As soon as it starts to move, the elasticity of the structure then opposes the motion, so you have to start calculating the elastic response of the building. That gets very complicated very quickly; ask a structural engineer for help with that one.
Dave
Thanks for the tutorial Dave. I could get into this easily. One other question about this one.
How would you write it if the building was moving towards the plane at 590 mph ?
I pnly ask this question because I think the answer should be Vf = 589.823053. But my calculator gives me 590 or -590 depending on whether I enter the 590 as a plus or a minus in the formula.both of them converging at 590 each..sorry
I pnly ask this question because I think the answer should be Vf = 589.823053. But my calculator gives me 590 or -590 depending on whether I enter the 590 as a plus or a minus in the formula.
If they're converging, then the directions are opposite, so you can treat it as a one-dimensional problem with the momentum of the airliner being negative. Therefore, subtract the airliner momentum from the building momentum, and divide the result by the total mass.
Vf = [(590 x 500000) - (590 x 150)]/500150
However, that won't give you 589.823 (which is, of course, 590mph less the final velocity with the building stationary) because you've doubled the relative velocity by having both moving at 590mph. If you want to work out the case for both moving at the same speed, but keep the same impact velocity, use 295mph for the building and -295mph for the airliner, and you'll get the result you're looking for.
Dave