Problem #09 A manometer consists of an inclined glass tube which is connected to a metal cylinder standing upright. A manometris liquid fills the apparatus to a fixed zero mark on the tube when both cylinder and the tube are open to atmosphere. The upper end of the cylinder is then connected to a gas supply at a pressure p and the liquid rises in the tube. Find an expression for the pressure p in cm of water when the liquid reads y cm in the tube , in terms of the inclination 0 of the tube , the specific gravity of the liquid S, and the ratio a of the diameter of the cylinder to the diameter of the tube . Hence, determine the value of a so that the error due to disregarding the change in level in the cylinder will not exceed 0.1 % , when 0 = 30 °. GAS M M Zero of Scal

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Problem #09
A manometer consists of an inclined glass tube which is
connected to a metal cylinder standing upright. A manometris
liquid fills the apparatus to a fixed zero mark on the tube when
both cylinder and the tube are open to atmosphere. The upper
end of the cylinder is then connected to a gas supply at a
pressure p and the liquid rises in the tube.
Find an expression for the pressure p in cm of water when the
liquid reads y cm in the tube, in terms of the inclination 0 of the
tube , the specific gravity of the liquid S, and the ratio a of the
diameter of the cylinder to the diameter of the tube . Hence,
determine the value of a so that the error due to disregarding
the change in level in the cylinder will not exceed 0.1 %, when
0 = 30 °.
GAS
M
M
Zero of Scal
Transcribed Image Text:Problem #09 A manometer consists of an inclined glass tube which is connected to a metal cylinder standing upright. A manometris liquid fills the apparatus to a fixed zero mark on the tube when both cylinder and the tube are open to atmosphere. The upper end of the cylinder is then connected to a gas supply at a pressure p and the liquid rises in the tube. Find an expression for the pressure p in cm of water when the liquid reads y cm in the tube, in terms of the inclination 0 of the tube , the specific gravity of the liquid S, and the ratio a of the diameter of the cylinder to the diameter of the tube . Hence, determine the value of a so that the error due to disregarding the change in level in the cylinder will not exceed 0.1 %, when 0 = 30 °. GAS M M Zero of Scal
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