Dean, Norlan and any other interested parties,
I recently wrote a brief detailing some of my thoughts on the plumbob
experiment and I made mention that some of the things I was stating were
possibly problematic. One of those points was a seeming paradox between
the amount of drop rate in gravitational attraction that the lateral force might
bring to bear and the possible difference in spinal latitudinal centrifugal force
that would be present at a given latitude.
My question was how to determine what acceleration could be attributed
to the lateral force of gravity in the opposite direction from the void of mass
column and adjoining mine shaft. I was pondering how one might test the degree
of lateral acceleration in an empirical sense and came up with an additional idea
how to test this. If we can calculate the exact distance away from each other the
plumbobs should be at depth compared to the surface measurement, then with
this distance being known, someone could artificially move the two bobs to that
position and then release them. One would expect that the bobs would each begin
to sway or accelerate very slowly toward the position they arrive at by themselves
as they were measured in the original experiment. One might then have the
chance to actually measure the exact distance that the plumbobs travel at the end
of the first second after they were released. This measurement could then be
compared to the answer I had derived of about 0.3651 cm/sec^2 to check its
accuracy and if inaccurate could be substituted to become the preferred measurement
of acceleration produced by a falling body towards a body of mass. The rate would
be exactly double the actual measurement because like in surface acceleration drop
rates of 980.665, the initial seconds motion through that time represents the average
of the slope of acceleration which would start at no motion relative to the Earth's
surface at all and its position one second in time after the falling object was released.
I stated no motion relative to the Earth's surface, because there is actually a lateral
motion of constant velocity equal to the spinal centrifugal force for a given latitude
since the Earth is continuously rotating on it geographic axis..
Scott