The micromanometer (as shown in the figure) is used to increase the accuracy when measuring small pressure di§erences. Two immiscible liquids (meaning they remain in separate layers when put together in the same container ñ they do not mix) having densities 1 and 2 are used in thismanometer. Flasks A and B contain gasses so that A; B 1; p2. (a) Find an expression for the pressure di§erence, pA pB, in terms of given quantities.(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindrical containers is A, Önd an expression for h in terms of a, A, and l. You may assume that h = l = 0 when pA = pB.(c) Show that by having a=A very small and 1 2, a small pressure change results in a largecolumn displacement, l, thus making the instrument very sensitive to small pressure differences 1. The micromanometer (as shown in the figure) is used to increase the accuracy when measuringsmall pressure differences. Two immiscible liquids (meaning they remain in separate layers whenput together in the same container-they do not mix) having densities, and are used in thismanometer. Flasks A and B contain gees so that PA. PP. P.FlaskFigure for problem 1.(a) Find an expression for the pressure difference, PA-PS, in terms of given quantities(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindricalcontainers is A, find an expression for h in terms of a, A, and L. You may assume thatA-C-0 when PA-PR-(e) Show that by having o/A very small and p, py, a small pressure change results in a largecolumn displacement, i, thus making the instrument very sensitive to small pressure differences

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Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

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The micromanometer (as shown in the figure) is used to increase the accuracy when measuring small pressure di§erences. Two immiscible liquids (meaning they remain in separate layers when put together in the same container ñ they do not mix) having densities 1 and 2 are used in thismanometer. Flasks A and B contain gasses so that A; B 1; p2.

(a) Find an expression for the pressure di§erence, pA pB, in terms of given quantities.
(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindrical containers is A, Önd an expression for h in terms of a, A, and l. You may assume that h = l = 0 when pA = pB.
(c) Show that by having a=A very small and 1 2, a small pressure change results in a large
column displacement, l, thus making the instrument very sensitive to small pressure differences

1. The micromanometer (as shown in the figure) is used to increase the accuracy when measuring
small pressure differences. Two immiscible liquids (meaning they remain in separate layers when
put together in the same container-they do not mix) having densities, and are used in this
manometer. Flasks A and B contain gees so that PA. PP. P.
Flask
Figure for problem 1.
(a) Find an expression for the pressure difference, PA-PS, in terms of given quantities
(b) If the cross-sectional area of the U-tube is a and the cross-sectional area of the cylindrical
containers is A, find an expression for h in terms of a, A, and L. You may assume that
A-C-0 when PA-PR-
(e) Show that by having o/A very small and p, py, a small pressure change results in a large
column displacement, i, thus making the instrument very sensitive to small pressure differences

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