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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:

0.4

0.1

2.0

1.2

Solution:

y = ω²x²/2g = (2 × 2π)² × (0.05)² / 20 ≈ 2 cm