The Tilting Water Tower · AI Generator #GEN-CA4AE829

Physics · mechanics

Problem

A cylindrical water tower with radius R=8.0  mR = 8.0\;\text{m} and height H=20  mH = 20\;\text{m} is completely filled with water. Due to an earthquake, the tower begins to tilt at a constant angular velocity ω=0.15  rad/s\omega = 0.15\;\text{rad/s} about its base. As the tower tilts, water begins to spill out once the water surface becomes tangent to the top edge of the cylinder. Find the angle θ\theta at which water first begins to spill, measured from the vertical. Take g=9.8  m/s2g = 9.8\;\text{m/s}^2.

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