An object of mass m is moving in a uniform circular motion in the xy plane. The circle has radius R and the object is moving around the circle with speed v. The motion is projected onto the x-axis where it appears as simple harmonic motion according to $\mathrm{x}\left(\mathrm{t}\right)=\mathrm{Rcos}(\mathrm{\omega t}+\mathrm{\varphi })$. Here $\mathrm{\omega }$ is equal to