My experience in a flotation tank
kulveer.co.uk
kulveer.co.uk
When I did it the tank operator told me this happens because there are certain chemicals being released from your adrenal system, and that the direction you feel like you're spinning corresponds to the chemical being released. Not sure if that particular claim is true or not, but apparently there is a reasonably large body of academic research into the physiological effects/benefits of floating.
Also, Joe Rogan's video on the tank is a must watch:
We sat in a cavern for a while with all of our flashlights off. At first you expect your eyes to start adjusting, then you realize that they aren't going to and you start to think that they're closed. After a while you quit caring what state they're in as it doesn't do any good. It's a very peaceful, almost serene feeling to (temporarily) have the information feed from major sensory organs cut off like that.
No blinking leds, no street lights: takes a few seconds to understand what is going on.