An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the −y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density ρ. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = p0. The length of the cylindrical container in the axial direction is W. a) Starting from Newton’s 2nd law, derive the pressure distribution inside water as a function of r and Θ in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylind
An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the −y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density ρ. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = p0. The length of the cylindrical container in the axial direction is W. a) Starting from Newton’s 2nd law, derive the pressure distribution inside water as a function of r and Θ in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylind
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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An infinitely long cylindrical container has a cross section area of radius R, and is placed horizontally with gravity being in the −y direction, as shown in the figure. The cylinder is 50% filled with water (the shaded part), with density ρ. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = p0. The length of the cylindrical container in the axial direction is W.
a) Starting from Newton’s 2nd law, derive the pressure distribution inside water as a function of r and Θ in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylindrical coordinate).
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