A bearing provides a first ring and a second ring capable of rotating concentrically relative to one another. At least one tapered groove is formed on a first axial cylindrical surface of the second ring and oriented towards the first ring. The bearing further provides at least one first distance sensor mounted on the first ring and facing a tapered wall of the tapered groove of the second ring that is inclined with respect to the axis of the bearing, a longitudinal axis of the first distance sensor being perpendicular to the axis, and at least one second distance sensor mounted on the first ring and distinct from the first distance sensor. The second distance sensor radially faces a second axial cylindrical surface of the second ring.