The three-legged manometer in Fig P2.159 is filled with water to a depth of 20 cm. All tubes are long and have equal small diameters. If the system spins at angular velocity Ω about the central tube,
(a) Derive a formula to find the change of height in the tubes;
(b) Find the height in cm in each tube if Ω = 120 rev/min [HINT: The central tube must supply water to both the outer legs.]

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10 cm 10 cm20 cm