A spherical body moves with a uniform angular velocity $\left(\mathrm{\omega }\right)$ around a circular path of radius r. Which one of the following statements is correct?

The body has no acceleration

The body has a radial acceleration ${\mathrm{\omega }}^2\mathrm{r}$ directed towards center of path

The body has a radial acceleration $\frac{2}{5}{\mathrm{\omega }}^2\mathrm{r}$ directed away from the center of the path

The body has an acceleration ${\mathrm{\omega }}^2$ tangential to its path