Physics - Fluid Question with Solution | TestHub

When a cone filled with water is revolved in a vertical circle, then the velocity at the highest point is given by Also $\begin{array}{rl}& v\ge \sqrt{gr}\\ & v=rw=r\frac{2\pi }{T}\end{array}$ Hence, $\frac{2r\pi }{T}\ge \sqrt{rg}$ $\begin{array}{rl}T& \le \frac{2\pi r}{\sqrt{rg}}=2\pi \sqrt{\frac{r}{g}}=2\pi \sqrt{\frac{4}{9.8}}\\ & =2\times 3.14\times 0.6389=4.0\sec \end{array}$ So, $T_{\max }=4\sec$