How curvy should the tops of the hills and valleys be in a roller coaster?

The curvature of the tops of hills and valleys in a roller coaster should be designed to ensure a smooth transition for riders, maintaining both comfort and safety. Generally, gentle curves allow for gradual changes in speed and direction, reducing the risk of sudden jolts. The radius of these curves should be calculated based on the forces experienced by riders, with tighter curves requiring more gradual inclines to avoid excessive G-forces. Ultimately, the design should balance thrill and rider experience while adhering to engineering standards.