I'm currently designing a world for a story that I'm writing that is based on a system of magic that deals with barriers, specifically domes. To get to the point one key characteristic is that these dome barriers tend to rotate at very high speeds. I'm not too sure what this means in terms of how they behave with relation to the sound barrier. For the sake of simplicity the surfaces of these domes are smooth, and have a surface which feels like thick glass. They are for the most part shaped like perfect spheres. In some cases half of the body is above ground while the other is below (and in some cases they are nothing more than half spheres, but still perfectly spherical in geometry. There are three scenarios that I would like clarification on:
1) If one of these barriers were to spin faster than the speed of sound, how would they behave? Would there be a sonic boom, a specific sound, any unique behaviors of the dome at this speed, etc? I'd like to add that structurally these barriers are completely sound in this regard, there need not be any consideration given to the barrier "failing" due to any physical factors involving its rotation.
2) If an object were stuck to the surface of one of these barriers as it spun (horizontally of course) would this impact the behavior once it reaches supersonic speeds? What would likely happen to a human stuck to the surface in this scenario? 2.1) If this rotation were to occur vertically (meaning the barrier is a full sphere with half above ground and half under) would any differences arise in the characteristics assuming that the terrain it is in is capable of being moved (i.e. dirt, sand, etc.)?
3) If one were to inadvertently walk into a barrier spinning at such speeds, what would happen to them? Would this even be possible, and if not what would be a reasonable explanation to try and explain this? Also in the structural sense would a barrier rotating at such speeds be more or less likely to break if something with ordinarily sufficient force struck it?
I know this is a decent slew of questions, but I would appreciate any help and clarification on this subject, thanks you!