When speed changes along the circular path, two perpendicular accelerations exist:

Centripetal (radial): a_c = v^2/r, always toward the centre. Tangential: a_t = dv/dt, along the direction of motion (or opposite if decelerating).

Net acceleration: a = sqrt(a_c^2 + a_t^2), at angle phi = arctan(a_t/a_c) from the radius.

Angular kinematics (constant alpha): omega = omega_0 + alphat theta = omega_0t + (1/2)alphat^2 omega^2 = omega_0^2 + 2alphatheta

Key point: The net force is NOT directed toward the centre in non-uniform circular motion. Only the radial component is centripetal.