For a fluid rotating at constant angular velocity about vertical axis as a rigid body, the pressure intensity varies as the___________________?

Correct answer: A. Square of the radial distance

  • A. Square of the radial distance
  • B. Radial distance linearly
  • C. Inverse of the radial distance
  • D. Elevation along vertical direction

Explanation

For rigid-body rotation, radial force balance gives dp/dr = rho omega²r. Integrating with radius therefore makes pressure vary with the square of radial distance, at a fixed elevation.

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