22. A 1-m-diameter, 2-m-high vertical cylinder is completely filled with gasoline whose
density is 740 kg/m3. The tank is now rotated about its vertical axis at a rate of 90 rpm,
while being accelerated upward at 5 m/s2. Determine (a) the difference between the
pressures at the centers of the bottom and top surfaces and (b) the difference between
the pressures at the center and the edge of the bottom surface.
GIVEN:
The diameter of the cylinder,
The height of the cylinder,
.
.
The density of gasoline,
.
The angular velocity of the tank,
The upward acceleration,
.
.
REQUIRED:
(a) difference between the pressures at the centers of the bottom and top surfaces
(b) difference between the pressures at the center and the edge of the bottom
surface.
SOLUTION:
The angular velocity,
(A)
𝑷𝟐 − 𝑷𝟏 = −𝟕𝟏𝟏𝟖. 𝟖 𝑷𝒂
(B)
𝑷𝟐 − 𝑷𝟏 = 𝟖𝟐𝟏𝟓. 𝟎𝟖 𝑷𝒂