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A 1.2–m–diameter, 3–m–high sealed vertical cylinder is
Chapter 3, Problem 113P(choose chapter or problem)
A 1.2-m-diameter, 3-m-high sealed vertical cylinder is completely filled with gasoline whose density is \(740 \mathrm{~kg} / \mathrm{m}^{3}\). The tank is now rotated about its vertical axis at a rate of 70 \(\mathrm{rpm}\). 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:
A 1.2-m-diameter, 3-m-high sealed vertical cylinder is completely filled with gasoline whose density is \(740 \mathrm{~kg} / \mathrm{m}^{3}\). The tank is now rotated about its vertical axis at a rate of 70 \(\mathrm{rpm}\). 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:
Step 1 of 2
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
Considering given figure