A glass tube of uniform cross-section is filled with water and mounted on a vertical rotating shaft as shown. If it rotates with constant angular velocity ω, what happens to the water levels in sections A and B? Image
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Question

A glass tube of uniform cross-section is filled with water and mounted on a vertical rotating shaft as shown. If it rotates with constant angular velocity ω, what happens to the water levels in sections A and B? 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: Water levels in both sections A and B go up. Final answer: A.