A U-tube is rotated about one vertical limb with angular speed ω. The horizontal separation of the limbs is L and tube diameter is negligible compared with L. Find the difference H between the liquid levels. Image
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Question

A U-tube is rotated about one vertical limb with angular speed ω. The horizontal separation of the limbs is L and tube diameter is negligible compared with L. Find the difference H between the liquid levels. Image

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G1 Physics · Accepted Answer

Step 1: Use hydrostatic equilibrium, P₂−P₁ = ρgΔh; in an accelerating fluid replace g by the effective acceleration where required. Step 2: Equate pressures at the same horizontal level or integrate pressure over the stated surface. Applying these relations to the given data gives A: L²ω²/(2g). Final answer: A.