Speed of rotation
TIP: Multiply rpm by π/30 for fast conversion to rad/sec. Notice that the above procedure is actually a multiplication of this amount.
When x = r = 1.5 m, y = h
Determine the position of the vortex:
(Note: The height of paraboloid is equal to H2/2D when the vortex touches the bottom of the tank.)
Since h > H2/2D, the vortex is below the vessel. See figure below.
At x = x1, y = y1
At x = x2, y = y1 + 6
Volume of air
Final volume of air = Initial volume of air
The minimum pressure at the base occurs at all points within the circle of radius x1 and is equal to the original air pressure.
The maximum pressure will occur anywhere along the circumference of the base.