Problem 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 p. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = Po. The length of the cylindrical container in the axial direction is W. R Starting from Newton's 2nd law, derive the а) pressure distribution inside water as a function of r and O in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylindrical coordinate).

Problem 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 p. The other 50% of the volume in the cylinder is filled with air with constant pressure of p = Po. The length of the cylindrical container in the axial direction is W. R Starting from Newton's 2nd law, derive the а) pressure distribution inside water as a function of r and O in the cylindrical coordinate. (hint: use rectangular coordinate first, and then convert it to cylindrical coordinate).

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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Concept explainers

Properties of Pure Substances

A substance with fixed chemical composition throughout is called a pure substance like water, air, and nitrogen. A pure substance does not have to be a single element or compound. A mixture of two or more phases of a pure substance is also a pure substance as long as the chemical composition is the same for all phases. These substances mainly have a constant/ uniform composition. The substances also have fixed boiling and melting points. A pure substance takes part in a chemical reaction to form predictable products.

Question

Problem
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 p. The other 50% of the volume in the cylinder is filled
with air with constant pressure of p = po. The length of the
cylindrical container in the axial direction is W.
R
Starting from Newton's 2nd law, derive the
а)
pressure distribution inside water as a function of r and
O in the cylindrical coordinate. (hint: use rectangular
coordinate first, and then convert it to cylindrical
coordinate).

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