JOSEPH TURBEVILLE'S RESEARCH
"A
Glimmer of Light" - Note - 2
Hypothetical Velocity at the Center of the Earth - 25920ft/sec.
Time Frame for an Ecliptic Rotation of the Earth - 25920 year.
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2000, Joseph TurbevilleA classic problem that has often been presented to students of Physics, and one that is totally impossible and entirely hypothetical, concerns the dropping of a ball into a "hole" that has been bored straight down through the center of the Earth. The gravitational factor drops linearly from 32.1327 ft/sec2 at the Earth's surface (~ 30 deg. Latitude) down to zero at the Earth's center. Thirty degrees was chosen because it is the approximate latitude of the Great Pyramid, a primary subject of this thesis. The average value for g therefore is (g avg) = 16.06635 ft/sec2. Equating the potential energy that the ball would have at the moment it is dropped, to the kinetic energy it would have as it reaches the center of the Earth, we can determine its maximum velocity. Thereafter, it would begin to lose speed and come to a stop just as it reaches the surface on the other side of the Earth. Unless the ball is removed from the "hole", it would fall back in the other direction and repeat the process again and again, as an oscillation, similar to a mass on a spring. This model assumes no energy loss due to air friction.
(Potential Energy) PE = (Kinetic Energy) KE
mass x g avg. x height = ½ mass x velocity2
Velocity2 = 2 x g avg. x Radius EarthVelocity = sq.rt.(2 x 16.06635
ft/sec2 x 20,908,800 ft.) Velocity = 25920 ft./sec
It is extremely interesting that the numerical value for the maximum velocity in this hypothetical problem is identical to the tabular value for the period for the Earth's ecliptic cycle of 25920 years.
. ©2000, Copyrighted by Joseph Turbeville. All rights reserved
