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Barometers have been used for almost 400 years to measure pressure changes in the atmosphere. The first known barometer was invented by Evangelista Torricelli (1608-1647), a student of Galileo during his fi nal years in Florence, Italy. The height of a liquid in a barometer is directly proportional to the atmospheric pressure, or P=(rgh) where P is the pressure, r is the density of the barometer fluid, and his the height of the liquid column. For mercury barometers, the density of the fluid is 13,560 kg/m3. On the surface of the earth, the acceleration due to gravity, g, is approximately 9.8 m/s2. Thus, the only variable in the equation is the height of the fluid column, h, which should have the unit of meters.

Barometers have been used for almost 400 years to measure pressure changes in the atmosphere. The first known barometer was invented by Evangelista Torricelli (1608-1647), a student of Galileo during his fi nal years in Florence, Italy. The height of a liquid in a barometer is directly proportional to the atmospheric pressure, or P=(rgh) where P is the pressure, r is the density of the barometer fluid, and his the height of the liquid column. For mercury barometers, the density of the fluid is 13,560 kg/m3. On the surface of the earth, the acceleration due to gravity, g, is approximately 9.8 m/s2. Thus, the only variable in the equation is the height of the fluid column, h, which should have the unit of meters.

Elements Of Electromagnetics
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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2) Barometers have been used for almost 400 years to measure pressure changes in the atmosphere. The first known barometer was invented by Evangelista Torricelli (1608-1647), a student of Galileo during his fi nal years in Florence, Italy. The height of a liquid in a barometer is directly proportional to the atmospheric pressure, or P = (rgh) where P is the pressure, r is the density of the barometer fluid, and his the height of the liquid column. For mercury barometers, the density of the fluid is 13.560 kg/m3. On the surface of the earth, the acceleration due to gravity, g, is approximately 9.8 m/s2. Thus, the only variable in the equation is the height of the fluid column, h, which should have the unit of meters. (a) Create a function P that finds the pressure if the value of h is provided. The units of your answer will be kg/(ms^2)= Pa (b) Create another function to convert pressure in Pa (Pascals) to pressure in atmospheres (atm). Call the function Pa_to_atm. Note that 1 atm = 101,325 Pa (c) Use your functions to find the pressure for fluid heights from 0.5 m to 1.0 m of mercury.
Transcribed Image Text:2) Barometers have been used for almost 400 years to measure pressure changes in the atmosphere. The first known barometer was invented by Evangelista Torricelli (1608-1647), a student of Galileo during his fi nal years in Florence, Italy. The height of a liquid in a barometer is directly proportional to the atmospheric pressure, or P = (rgh) where P is the pressure, r is the density of the barometer fluid, and his the height of the liquid column. For mercury barometers, the density of the fluid is 13.560 kg/m3. On the surface of the earth, the acceleration due to gravity, g, is approximately 9.8 m/s2. Thus, the only variable in the equation is the height of the fluid column, h, which should have the unit of meters. (a) Create a function P that finds the pressure if the value of h is provided. The units of your answer will be kg/(ms^2)= Pa (b) Create another function to convert pressure in Pa (Pascals) to pressure in atmospheres (atm). Call the function Pa_to_atm. Note that 1 atm = 101,325 Pa (c) Use your functions to find the pressure for fluid heights from 0.5 m to 1.0 m of mercury.
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