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Population of Earth


Percentage that is children


Number of children on earth


Percentage of children that believe in Santa


Percentage of "Christian"s of population


CALCULATE: Number of children to deliver to


Number of children per household


CALCULATE: Number of Households



Mass of Santa's sleigh


Mass of Santa


Number of reindeer


Mass of a reindeer


Dimensions of Santa's sleigh


Volume of sleigh


Area of sleigh from below





Area of sleigh from front


Average present mass


Average present height


Average present bottom area



total mass of presents


total mass of sleigh, Santa, reindeer


total mass of sleigh, Santa, reindeer, presents

total height of presents (assuming they are not crushed)



what the density of the presents would need to be crushed to to fit in the sleigh and only be 2 meters tall


Assumption: Surface Area of earth:

196,940,400 square miles (509,917,870 square kilometers).




Assuming households evenly spread,

Average area between households,


Average distance between households

(square root of area)







average hours of nightfall on Dec. 21,

if mostly Northern Hemisphere


Rotation in hours of the earth:


CALCULATE: Total time for Santa to make the journey


Assumptions: Time spent in each household:



Average time between each household:


Average speed between each household:

(Average distance/average time)


maximum speed reached between each household

(average speed times two)

Santa accelerates to max speed for half the distance, half the time, then deaccelerates the rest of the way


the acceleration/deacceleration for each half of the trip between each household


the total force required by the reindeer



the work required by the reindeer

W= Fd (half the distance)

the work required by Each reindeer


the power required by the reindeer

P =W/T


the power required by EACH reindeer

(in horsepower??)

in watts?


The work converted to thermal, electrical, or chemical energy units





The theoretical terminal velocity of the sleigh




The escape velocity (11 km/sec)

Sound = 334 m/s





** Given the thermal energy absorbed by each reindeer over the time of each trip, and its mass, you can calculate the new temperature of the reindeer (assuming it started at zero)...


You can then compare to the cooking/vaporizing temperature of reindeer meat!