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A 1–m–diameter, 2–m–high vertical cylinder is completely
Chapter 3, Problem 151P(choose chapter or problem)
Problem 151P
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.
Questions & Answers
QUESTION:
Problem 151P
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.
ANSWER:
Problem 151P
Solution 151 P
Step 1 :
In this question, we have cylindrical tank filled with gasoline, when this tank is rotated along vertical axis , we need to find difference in pressure at the centers of top and bottom of the tank
In the second part, we need to find difference in pressure at the center and edge of the bottom surface
Data given
Diameter of cylinder
Radius
Height of cylinder
Density of gasoline
Rotational velocity
Accelerating along y direction
Considering given figure