When an object is moving in a non-uniform circular motion, the linear acceleration is represented as a centripetal and tangential component. The centripetal or the radial component is associated with a change in the direction of velocity, expressed in terms of velocity and radius of the circle. Replacing velocity by omega times radius, a relationship between centripetal acceleration and angular velocity is obtained. The tangential acceleration component is parallel to instantaneous velocity and is associated with the change in magnitude of velocity. Replacing velocity by omega times radius, a relationship between tangential acceleration and angular acceleration is obtained. Since tangential acceleration is associated only with speed and not the direction of motion, the angular acceleration is positive when the angular velocity is increasing and negative when the angular velocity is decreasing.