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The Aircraft Carrier and the Beachfront House [Vanity]
September 2, 2005 | snarks_when_bored

Posted on 09/02/2005 5:40:22 AM PDT by snarks_when_bored

[Let me begin by expressing my heartfelt condolences to the survivors of our nation's most devastating natural disaster to date. I can't imagine the pain and the loss they must be experiencing.]

It's clear that many of the people living in those Mississippi coast towns like Waveland and Ocean Springs and Biloxi and Gulfport were unable to comprehend the magnitude of the danger to their persons and property that Hurricane Katrina represented as it churned towards them. What could these people, and also knowledgeable people in authority, have done to better inform themselves of the threat they faced? For one thing, they could've used some arithmetic, backed up by graphical illustrations. What follows is a very simple example.

1 gallon of water weighs 8.33 pounds. 1 cubic foot of water contains about 7.5 gallons, and so weighs about 62.5 pounds. This means that a column of water only 8 feet high, 1 foot wide and 1 foot deep weighs about 500 pounds.

Now let's suppose that the width of the average beachfront house facing the Gulf of Mexico was 70 feet (that's perhaps not too far off). What is the weight of a column of water 8 feet high, 70 feet wide and (say) 1 mile deep (i.e., stretching 1 mile out into the Gulf)? It's easy to calculate: just multiply out 500 x 70 x 5280. The answer? 184,800,000 pounds, or about 92,400 tons. This is an enormous weight. In fact, it's just about the weight of a Nimitz class aircraft carrier, for example, the USS John C. Stennis:

Since water is an incompressible fluid, to be struck by a 92,000 ton column of it could be even more devastating than being struck by the Stennis (steel crumples and gives way to some degree; water does not). And note that we're not even considering the kinetic energy (that is, the energy of motion) of our column of water as it comes ashore in the storm surge. We're also ignoring the likelihood that considerably more than a mile of water stretching out into the Gulf is going to come ashore in such a surge.

If the average person were asked whether he thought that his house could withstand a direct hit by a 92,000 ton aircraft carrier, his answer would be an instantaneous "No!". So why does this same person believe that his house could withstand a direct hit by a 92,000 ton column of water? Well, he probably doesn't believe that; rather, it's likely that he doesn't know that that's the threat he's facing! And whose fault is that? In the land of personal responsibility, it's his, of course. But that doesn't mean that his elected representatives couldn't have done a better job of informing him and his neighbors of the threat they faced.

One last calculation. What is the weight of a column of water 20 feet high, 100 miles wide and stretching 2 miles out into the Gulf of Mexico? Answer: 6,969,600,000,000 pounds (that is, almost 7 trillion pounds), or 3,484,800,000 tons (roughly, 3.5 billion tons). I'll leave it as an exercise for the reader to find an appropriate graphic illustrating a storm surge of this magnitude.



TOPICS: Education; Miscellaneous; Science; Society; Weather
KEYWORDS: aircraftcarrier; arithmetic; beachfronthouse; hurricanekatrina; informedpublic; katrina; stormsurge
This was written in haste, so it's not impossible that I dropped a digit or two. If so, I'd appreciate having that fact pointed out.

Again, my condolences to our devastated fellow Americans in New Orleans and surrounding parishes, and along the Gulf coasts of Mississippi and Alabama.

1 posted on 09/02/2005 5:40:24 AM PDT by snarks_when_bored
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To: snarks_when_bored

For the record, I do understand that because the storm surge is for the most part not laterally constrained, it's able to flow around certain obstacles in a way that an aircraft carrier could not.


2 posted on 09/02/2005 5:51:16 AM PDT by snarks_when_bored
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To: snarks_when_bored

In your haste you took a cubic of foot of water to equal 1 lb. It equals something around 65. The carrier can't weigh more than the water it dispaces, roughly 35 ft X 100 ft X 1000 ft.


3 posted on 09/02/2005 6:03:53 AM PDT by SampleMan
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To: snarks_when_bored

Your numbers are off. You converted 1 cubic foot to 1 lb. It is around 65 lb.

Ship can't weigh more than it displaces. Roughly 35'X120'X1000'.

Thus you went way under the actual weight by x65.


4 posted on 09/02/2005 6:06:19 AM PDT by SampleMan
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To: SampleMan

Hmmm, I wrote this: "...a column of water only 8 feet high, 1 foot wide and 1 foot deep weighs about 500 pounds." I believe this to be correct, since 1 cubic foot of water weighs about 62.5 pounds (just imagine stacking 8 of those on top of each other). I used this 8 ft by 1 ft by 1 ft column in my subsequent calculation.


5 posted on 09/02/2005 6:12:25 AM PDT by snarks_when_bored
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To: snarks_when_bored

My apology. I mixed and matched your numbers. You are correct.


6 posted on 09/02/2005 8:00:51 AM PDT by SampleMan
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To: SampleMan

No problem. Best regards...


7 posted on 09/02/2005 8:20:03 AM PDT by snarks_when_bored
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To: snarks_when_bored
I went to the christening of the Stennis.

Thanks for the beautiful picture!

8 posted on 09/02/2005 8:33:19 AM PDT by Montfort (Check out The Figurehead, by Thomas Larus at lulu.com. Montfort is the protagonist.)
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To: Montfort

Yes, it's a great-looking boat, no question about it.


9 posted on 09/02/2005 8:39:26 AM PDT by snarks_when_bored
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