You can't if frames are evenly displayed.Yet again the argument that the humand eye can't see much over 30fps.... well, I for one can tell the difference between 60 and 85fps.. or 120 if a CRT monitor is blessed to have that high of a refresh rate.
If each frame has one time span for 1/30 seconds presenting 30 FPS then this will be very smooth. The problem is that when computers work these frames isn't evenly displayed, depending on how the game is developed, cache, delays etc frames presented isn't calculated as evenly as you might think. More frames could in fact feel slower because one cpu works schizophrenic. It is the CPU that decides the smoothness because it decides the elapsed time between the frames and how much movement that should be done for different parts.
if the game has 300 FPS but the game calculates movement badly, that game will not feel smooth