Did I ask chatGPT hard question to throw at me Tesla 1 strength?

 If we assume ideal materials and negligible friction, the minimum size required to achieve the desired speed of rotation would depend mainly on the strength of the magnetic or electric field used to control the motion of the inner and outer balls.

To estimate the minimum size required, we can use the equation for the magnetic or electric force on a charged particle in a magnetic or electric field:

F = q * (E or B)

where F is the force, q is the charge of the particle, and E or B is the strength of the electric or magnetic field.

Assuming that the inner ball has a charge q and a radius r, and that the outer shell has a charge -q and a radius R (where R is larger than r), the force required to achieve the desired speed of rotation can be estimated as follows:

F = q * B * R

where B is the strength of the magnetic field required to achieve the desired speed of rotation.

The minimum size required to achieve the desired speed of rotation can then be estimated based on the strength of the magnetic field that can be generated with available technology. The strength of magnetic fields generated by magnets and electromagnets can vary widely, depending on factors such as the size and composition of the magnet, the current or voltage applied, and the distance from the magnet.

Assuming a magnetic field strength of 1 Tesla (which is a typical strength for a strong magnet), and a desired rotational speed of, say, 100 revolutions per second, the minimum size required can be estimated as follows:

B * R = 2 * pi * r * 100

where r is the radius of the inner ball.

If we assume that r is 1 mm (which is a reasonable size for a small ball), we can solve for R:

R = (2 * pi * r * 100) / B

If we assume a magnetic field strength of 1 Tesla, we get:

R = (2 * pi * 1 mm * 100) / 1 Tesla = 0.63 meters

This suggests that to achieve the desired speed of rotation with a magnetic field strength of 1 Tesla, the minimum size of the rotating mechanism would need to be at least 0.63 meters in radius. However, this is a rough estimate based on ideal conditions and neglects practical limitations such as the accuracy of 3D printing and the precision of the motor or mechanism used to rotate the balls.