Major brainfart here. Consider the spiral motion of a particle such that the distance from the origin to the particle is r(t) = e^t with a constant angular velocity. Now since the particle rotating with a constant angular velocity, I would think that the net force on the particle would have to be an inward centripetal force in the radial direction. However, there must also be a net outward force, in the radial direction, to account for the accelerating distance between the origin and the particle. Obviously this can't be right, but I can't pin down where I'm going wrong. Cheers!