Is there an equation that relates tangential and centripetal acceleration? I ask this question because it's been on my mind ever since I solved a problem involving the giant swing ride commonly seen at amusement parks. The question involved finding the speed $v$ with given symbols instead of actual values, which can be done using a force diagram. I was just thinking though, it may be useful to find an equation that relates both the radial and tangential acceleration of a particle in circular motion.