A spin bike is an indoor bike that is designed to duplicate the feeling of regular road cycling. A typical spin bike has a very heavy flywheel. A friction pad or other brake provides damping that mirrors the drag and other resistive forces that a road cyclist experiences; the inertia of the wheel simulates the way a regular bike keeps moving even after you stop pedaling. A spin bike has a flywheel in two parts—a 12.5 kg disk with radius 0.23 m, and a 7.0 kg ring with mass concentrated at the outer edge of the disk. A friction pad exerts a force of 9.7 N on the outside of the disk. A cyclist is pedaling, spinning the disk at a typical 180 rpm. If she stops pedaling, how long will it take for the flywheel to come to a stop?