They cannot be the same thing because they have different units. Centripetal acceleration ac=v2/R=ω2R has units of m/s2, while angular acceleration α=dω/dt has units of radian/s2.

Is angular acceleration and centripetal acceleration the same thing?

In a circular motion, the centripetal acceleration takes the direction towards the center, which varies over the circulation, but the angular acceleration takes the direction of the corkscrew law, which is a fixed direction.

Is angular acceleration centripetal force?

When an object is in uniform circular motion, it is constantly changing direction, and therefore accelerating. This is angular acceleration. A force acting on the object in uniform circular motion (called centripetal force) is acting on the object from the center of the circle.