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 :

Engineering

Physics

Liquid Pressure

Question

2.0

0.1

1.2

0.4

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$y = \frac{w^{2} x^{2}}{2 g} = \frac{{(2 \times 2 π)}^{2} \times {(0 .05)}^{2}}{2 g}$

= 125 × 8 × 10^–4

= 2 cm