 Previously, we looked at uniform circular motion and the velocity of objects undergoing uniform circular motion. In this video, we'll derive the acceleration of objects undergoing uniform circular motion, which is also known as the centripetal acceleration. This is a pretty involved derivation. Don't worry if it seems a bit complicated as you wouldn't be expected to invent it on your own without having seen it. So, before we get started, how can an object undergoing uniform circular motion be accelerating if it's travelling at a constant speed? What we need to remember is that velocity is a vector. While it may be travelling at a constant speed, this vector is constantly changing direction for the object in question. Since the velocity is therefore changing, the object is accelerating. So let's find the acceleration of the object.