Question

A long cylindrical vessel is half filled with a liquid. When the vessel is rotated about its own vertical axis, the liquid rises up near the wall. If the radius of vessel is 5 cm and its rotational speed is 2 rotations per second, then the difference in the heights between the centre and the sides, in cm, will be:

• A. $1.2$
• B. $0.1$
• C. $2.0$
• D. $0.4$

Answer 1

The correct option is C $2.0$

$y=\frac{{\omega }^2{x}^2}{2g}=\frac{(2\times 2\pi {)}^2\times (0.05{)}^2}{20}\sim 2cm$