A changing magnetic field induces an electric current in a coil. If you cross a magnet through the coil it will induce a current, but if the magnet is at rest relative to the coil there will be no current.
My question is if both the coil and the magnet inside it are on a rotating surface, will there be an electric current? After all, even if the distance between the coil and the magnet does not change, both will have different tangent speeds (assuming that the magnet is not a point in the center that would be at rest).