The schematic below shows a human body cannulated (tubes are inserted to the body's vasculature) at three heights, B, F, and H. Blood would rise to the same height in each tube, similar to a column of water cannulated at three heights. The tubes can also be filled with a saline solution with a similar density to blood so that this will be a safer experiment to perform. For a typical adult, hμ is 1.5 m and hg is 1.85 m. Using the gauge pressure at heart height from the problem above, assume the density of whole blood is 1060 and that the average arterial (heart) pressure of this individual has kg been measured to be 95 mmHg. Express your answer to four significant digits. B hB ин F Image from: M. M. Sternheim and J. W. Kane, General Physics, 2nd edition (Wiley 1991). Hint: How would you model this problem? Blood vessels can be thought of as tubes containing columns of blood? Which equations would apply to find the blood pressure at different depths? (a) Calculate the gauge pressure in the feet. P = feet Pa (b) Calculate the guage blood pressure at brain height. P brain Pa (c) To produce the pressure at the feet calculated in part (a), to what height above the floor must the saline solution rise? Ah = m
The schematic below shows a human body cannulated (tubes are inserted to the body's vasculature) at three heights, B, F, and H. Blood would rise to the same height in each tube, similar to a column of water cannulated at three heights. The tubes can also be filled with a saline solution with a similar density to blood so that this will be a safer experiment to perform. For a typical adult, hμ is 1.5 m and hg is 1.85 m. Using the gauge pressure at heart height from the problem above, assume the density of whole blood is 1060 and that the average arterial (heart) pressure of this individual has kg been measured to be 95 mmHg. Express your answer to four significant digits. B hB ин F Image from: M. M. Sternheim and J. W. Kane, General Physics, 2nd edition (Wiley 1991). Hint: How would you model this problem? Blood vessels can be thought of as tubes containing columns of blood? Which equations would apply to find the blood pressure at different depths? (a) Calculate the gauge pressure in the feet. P = feet Pa (b) Calculate the guage blood pressure at brain height. P brain Pa (c) To produce the pressure at the feet calculated in part (a), to what height above the floor must the saline solution rise? Ah = m
University Physics Volume 1
18th Edition
ISBN:9781938168277
Author:William Moebs, Samuel J. Ling, Jeff Sanny
Publisher:William Moebs, Samuel J. Ling, Jeff Sanny
Chapter14: Fluid Mechanics
Section: Chapter Questions
Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...
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