Although human lung capacity is about 3 liters per lung, the tidal volume, representing the amount of air that is breathed in and out with each breath is much less, typically about 250 cm3 per lung. The cycle of inhalation and exhalation during normal activity can be represented as a sine curve, as shown in the figure below, where the amount of air in each lung before inhalation begins is about 1.09 liters (the functional residual capacity of the lung) and the time on the horizontal axis has been calculated with the average adult breathing rate of 16 breaths per minute. Volume of air in lungs (L) 1.34 1.09 15 30 Time (s) We can model each lung as a cylinder of radius 5.95 cm in which one end cap is free to move up and down, increasing and decreasing the volume of the model lung during the breathing process.
Although human lung capacity is about 3 liters per lung, the tidal volume, representing the amount of air that is breathed in and out with each breath is much less, typically about 250 cm3 per lung. The cycle of inhalation and exhalation during normal activity can be represented as a sine curve, as shown in the figure below, where the amount of air in each lung before inhalation begins is about 1.09 liters (the functional residual capacity of the lung) and the time on the horizontal axis has been calculated with the average adult breathing rate of 16 breaths per minute. Volume of air in lungs (L) 1.34 1.09 15 30 Time (s) We can model each lung as a cylinder of radius 5.95 cm in which one end cap is free to move up and down, increasing and decreasing the volume of the model lung during the breathing process.
Related questions
Question
Transcribed Image Text:Although human lung capacity is about 3 liters per lung, the tidal volume, representing the amount of air that is breathed in and out with each breath is much
-3
less, typically about 250 cm7 per lung. The cycle of inhalation and exhalation during normal activity can be represented as a sine curve, as shown in the figure
below, where the amount of air in each lung before inhalation begins is about 1.09 liters (the functional residual capacity of the lung) and the time on the
horizontal axis has been calculated with the average adult breathing rate of 16 breaths per minute.
Volume of air in lungs (L)
1.34
1.09
mm
minimum height
maximum height
15
We can model each lung as a cylinder of radius 5.95 cm in which one end cap is free to move up and down, increasing and decreasing the volume of the model
lung during the breathing process.
(a) Using the data above, calculate the minimum and maximum heights (in cm) of the model lung during the breathing process. (Round your answers to at
least three significant figures.)
30
cm
mJ
Time (s)
cm
(b) What is the amplitude of oscillation (in cm) of the end cap of each model lung?
cm
(c) To demonstrate the breathing process to a group of medical students, you construct a model lung from a cylindrical tube with an end cap of mass m
suspended from a vertical spring with spring constant k = 35.0 N/m and set it in motion with the same amplitude as that found in part (b) of the problem.
What must the value of the mass m be (in kg) for the oscillation of your demonstration mass-spring system to match that of the model lung?
kg
(d) What is the total energy (in mJ) of this mass-spring system?
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
