In the following, we will calculate the actual dipole gravity force from a rotating 2 meter diameter(1 meter radius) hemisphere made of a solid stainless steel rotating at 100,000 rpm. It may be a relatively large structure and a pretty fast rotating speed. Still it can be considered a manageable set up in a decent sized lab.
From this result, we will have a sense of directions to modify the apparatus to obtain the most desirable effect.
Preliminary calculation shows that for a solid stainless steel hemisphere of radius 1 meter, density 8,000kg/m^3, at 100,000 rpm, at the strongest spot near either side poles of the rotor has the radial gravitational acceleration of 4.54x10^-16 m/sec^2, one side(flat) pulls and the other side(domed) pushes, purely due to dipole gravity.
This is not a very promising level of strength to be considered measurable. It pushes the current technology on earth to the limit. At 1 million rpm, the strength increases to 4.54x10^-14 m/sec^2. The dependency of this force to the radius is 4th power, dependency to the density linear and that to the rpm harmonic(^2).
High density material will certainly increase the level of the strength, but only linearly. Increasing the radius to double will increase the strength to 16 times.
If the radius of the rotor can be increased to 10 times, the acceleration per unit mass on the detector will become 4.54x10^-10 m/sec^2 at 1 million rpm which may be considered still too small.
The size of the rotor in this case is 20 meter in diameter and the rotational speed 1 million rpm. This can hardly be considered a practical experimental set up although it may all depend on the sensitivity of the gravitometer.
Some other method of detection may need to be found.
Theory of Gravitation, Cosmology and a part of general relativity
No comments:
Post a Comment