PressureHardQuestion 30983
Question
For an incompressible fluid in hydrostatic equilibrium in a rotating cylindrical container (angular velocity ω), the pressure varies as:
- AP ∝ r² (increases outward)Correct
- BP ∝ 1/r
- CP is uniform
- DP ∝ ω
Correct answer
P ∝ r² (increases outward)
Explanation
In rotating frame, centrifugal pressure dP/dr = ρω²r. Integrating: P = P₀ + ½ρω²r². Pressure increases with r².