A student holding two weights close to his chest is sitting on a frictionless chair; the student and chair are rotating with an angular speed of 11.7 rad/s. The moment of inertia of Student + Weights + Chair system about the axis of rotation is 21.5 kg.m2. Now the student extends his arms horizontally to increase the moment of inertia by 0.138 %. Find the new angular speed of the system?