A centrifuge rotor rotating at \(9200\,\text{rpm}\) is shut off and is eventually brought uniformly to rest by a frictional torque of \(1.20\,\text{N}\cdot\text{m}\). If the mass of the rotor is \(3.10\,\text{kg}\) and it can be approximated as a solid cylinder of radius \(0.0710\,\text{m}\), through how many revolutions will the rotor turn before coming to rest? The moment of inertia of a cylinder is given by \(\dfrac{1}{2} m r^2\).