FYKOS Year 36 Series 1 Problem 5 — U-tube again · FYKOS 36 #36.1.5

Physics · mechanics · thermodynamics

Problem

We have a U-tube with length

l

and cross-sectional area

S

. We pour volume

V

of water into the tube. The volume

V

is large enough that the whole U-turn is filled with water but

Sl > V

. When water levels in both arms of the tube are at rest, we seal one of the arms. What is the period of small oscillations of water in the tube?