If the object is accelerating at any rate then the magnitude of the angular, tangental, and centripetal components of the objects motion will also change. All the components of the ojects motion will change because they are all describing the same motion of the same object even if we as humans split its motion into many component motions on paper so we can fully describe in mathmatical terms. My point is that when an object is in circular motion you can not change one component of that motion without affecting the other components of its motion. Centripetal Acc. is based on Tangental speed and tangental speed is based on angular speed which is based on the measurement of angular displacement in a certain time interval which is simply motion in a circle. Take a close look at the angular kinematic equations and try to see how they all fir together. Please post the scenario that's giveing you troubles if this spiel doesn't help.