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Tuesday, October 22, 2013

Engineering view of Santa Claus

In the world there are approximately 2 billion children (persons under 18). However, since Santa Claus does not visit Muslim, Hindu, Jewish and Buddhist, the amount of work for  the new year is reduced to 15 %, or a total of 378 million children (according to the Population Reference Bureau). According to an average of 3.5 children per house, Santa Claus has to visit 108 million homes, if we assume that in any given house there is at least one good child .

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). So Santa Claus has to visit 967.7 houses per second. Thus, for each household with a good child, Santa has around 1/ 1000 second to park the sleigh, hop out, take gifts, jump into the chimney, fill the stockings, find a tree, leave the rest of the presents under the tree, climbed back up the chimney, jump into the sleigh and get to the next house.

Assuming that each of these 108 million stops is evenly distributed around the earth (for the purposes of our calculations), we are talking about 1.24 miles per house to another , behind what appears total time of 120.8 million miles, not counting Santa Claus visits to toilet or meal breaks, drinks etc. The above shows that the speed of Santa's sleigh moves at 1080 miles per second (3200 times the speed of sound). For comparison, the fastest man-made vehicle, the Ulysses space probe, going "only" 45 kilometers per second (162,000 km / h), and normal deer up to 24 km per hour or 0.0066 kilometers per second.

The payload of the sleigh adds another interesting element. Assuming that each child gets nothing more than a Lego set of medium size (about 860 grams). Then the total weight of cargo on Santa Clauses sleigh will be over 500 tons. On the ground, a normal reindeer can pull no more than about 138 kg. If we assume that Santa's flying reindeer can pull 10 times, Santa Claus would need around 360 thousand flying deer to pull sleds. Weight of so many deer increases the overall weight of the sled around 54 thousand tons, or about 7 times the weight of the Queen Elizabeth (the ship, not the monarch).

About 600 thousand tons traveling at a speed of 1080 km/second creates enormous air resistance, such resistance would heat up the reindeer in the same way as a heats up space craft reentering the earth's atmosphere. The lead pair of reindeer would absorb 14.3 quintillion joules of energy per second. Short, they would, burst into the living not a pretty sight torch, exposing deer behind them, and leading to a chain reaction in which all the 360 odd thousand deer vaporized within 4.26 thousands second, or right about the time to Santa reached the fifth house on his trip.

Santa Claus, as a result of acceleration from 0 km/h to 1080 km/h, would be exposed to acceleration power of 17.5 thousand times greater than that of a small g, ie. 175000 m/s². Santa Claus mass of 115 kg (which is very small for Santa Claus ) would be pinned to the back of his sleigh by 1,984,906.9 pounds of force, instantly crushing his bones and organs and reducing him to a pulpy purple, reddish liquid.

Therefore, if Santa ever existed, he is now surely dead.

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