(I can't take credit for this, no idea where it originally came from).
Merry Christmas all!
SANTA CLAUS: An Engineer's Perspective
I. There are approximately two billion children (persons under 18) in
the world. However, since Santa does not visit children of Muslim,
Hindu, Jewish or Buddhist religions, this reduces the workload for
Christmas night to 15% of the total, or 378 million (according to the
Population Reference Bureau). At an average (census) rate of 3.5 children per
household, that comes to 108 million homes, presuming that there is at
least one good child in each.
II.
Santa has about 31 hours of Christmas to work with, thanks to the
different time zones and the rotation of the earth, assuming he
travels east to west (which seems logical). This works out to 967.7 visits
per second. This is to say that for each Christian household with
a good child, Santa has around 1/1000th of a second to park the sleigh, hop out,
jump down the chimney, fill the stockings, distribute the remaining presents under
the tree, eat whatever snacks have been left for him, get back up the
chimney, jump into the sleigh and get on to the next house. Assuming that each
of these 108 million stops is evenly distributed around the earth
(which, of course, we know to be false, but will accept for the purposes
of our calculations), we are now talking about 0.78 miles per house-
hold; a total trip of 75.5 million miles, not counting bathroom stops or breaks.
This means Santa's sleigh is moving at 650 miles per second --- 3,000
times the speed of sound. For purposes of comparison, the fastest
man-made vehicle, the Ulysses space probe, moves at a poky 27.4
miles per second, and a conventional reindeer can run (at best) 15 miles per hour.
III.
The payload of the sleigh adds another interesting element.
Assuming that each child gets nothing more than a medium sized Lego set
(two pounds), the sleigh is carrying over 500 thousand tons, not
counting Santa himself. On land, a conventional
reindeer can pull no more than 300 pounds. Even granting that the
"flying" reindeer could pull ten times the normal amount, the job can't
be done with eight or even nine of them --- Santa would need 360,000 of
them. This increases the payload, not counting the weight of the sleigh,
another 54,000 tons, or roughly seven times the weight of the
Queen Elizabeth (the ship, not the monarch).
IV.
600,000 tons traveling at 650 miles per second crates enormous air
resistance --- this would heat up the reindeer in the same fashion as a
spacecraft re-entering the earth's atmosphere. The lead pair of reindeer
would absorb 14.3 quintillion joules of energy per second each. In
short, they would burst into flames almost instantaneously, exposing the
reindeer behind them and creating deafening sonic booms in their
wake. The entire reindeer team would be vaporized within 4.26 thousandths of a
second, or right about the time Santa reached the fifth house on his
trip. Not that it matters, however, since Santa, as a result of
accelerating from a dead stop 650 m.p.s. in .001 seconds, would be
subjected to centrifugal forces of 17,500 g's. A 250 pound Santa (which
seems ludicrously slim) would be pinned to the back of the sleigh by
4,315,015 pounds of force, instantly crushing his bones and organs and
reducing him to a quivering blob of pink goo.
V.
Therefore, if Santa did exist, he's dead now.
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