In this current work, a novel theoretical framework is introduced to reveal the effect of the Coriolis force on a rotating micro-cantilever. A forced Van der Pol-Rayleigh-Duffing oscillator model is utilized to predict dynamic responses of the effective mass of the micro-cantilever used in the micro-electro-mechanical gyroscope in the driving and sense modes. Displacements of the micro-cantilever rotating at constant angular velocity are obtained for different driving force strengths. The simulation results indicate that the static equilibrium positions monotonically change and displacement amplitudes become notably larger as the driving force strength increases. Moreover, variations in time-varying Coriolis forces at the first three flexural eigenmodes are explored for diverse angular velocities. It is worth mentioning that the effect of angular velocity on the magnitude of Coriolis force is relatively less at the second and third flexural eigenmodes for the driving and sense modes. In addition, dynamic responses of the micro-cantilever are observed for different Van der Pol-Rayleigh and Duffing coefficients. As a result, in the present work, a new nonlinear dynamic model is proposed to estimate rotating micro-cantilever responses under constant driving force with the consideration of the Coriolis effect.