I am designing a particle accelerator for a class. I want to know how tight of a turn an accelerator pipe can make; is there a defined maximum? Is there a calculation that needs to be made considering the type of particle/energy of the particle/magnets available?
Here is a hint: consider the Lorentz force and the centrifugal force. Those laws (for classical mechanics) are sufficient, it probably doesn't apply for particles near the speed of light.