The damped rotational oscillations of a cylinder whose length-to-diameter ratio is nine are considered. In the head part of the cylinder, a disc is mounted coaxially on the leg. The effect of the disk on damping of oscillations is described by aerodynamic rotational derivatives. Wind tunnel experiment is performed with the flow past a cylinder fixed on an elastic spring suspension. The diameter of the coaxial disk and the distance between the disk and the end of the cylinder vary. Deflected from the equilibrium position, the cylinder performs damping oscillations. The dependence of the amplitude of rotational vibrations on time is determined by the tensometric method. Coefficients of rotational pitch derivatives are found.