A vibratory system of mass-spring-damper rotates about an axis perpendicular to its plane of vibration, and is subjected to harmonic forces in that plane. By taking into consideration the various coupling terms that may be present, we can measure the small rate of turn around the axis perpendicular to the plane vibration from the amplitude and phase angle relations. It was found previously that the phase angle is independant of the damping factor (i.e. independant of the transiant res-ponse) at the value of the rate of turn which is smaller than the system natural frequencies. Therefore, we can improve the transient performance without affecting the sensitivity of the devise. In this work, we study the sensitivity of the system when it is subjected to random noice.