Physics - Fluid Question with Solution | TestHub

Let its angular velocity be $\omega$ at all points (uniform motion). At the highest point, weight of the body is balanced centrifugal force, so $$\begin{array}{rl}& m{\omega }^{2}r=mg\\ & \Rightarrow \omega =\sqrt{\frac{g}{r}}\end{array}$$ Angular frequency is related to frequency as follows: $\omega =2\pi f$ $\therefore f=\frac{\omega }{2\pi }=\frac{1}{2\pi }\sqrt{\frac{g}{r}}$