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
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ISBN:9780190698614
Author:Sadiku, Matthew N. O.
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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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