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(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

(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

Biomedical Instrumentation Systems
Biomedical Instrumentation Systems
1st Edition
ISBN:9781133478294
Author:Chatterjee
Publisher:Chatterjee
Chapter15: Instrumentation In Medical Imaging
Section: Chapter Questions
Problem 7P
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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, h, is 1.5 m and hB is 1.85 m. Using the gauge pressure at heart height from the problem above, assume the density kg of whole blood is 1060 m³ and that the average arterial (heart) pressure of this individual has been measured to be 97 mmHg. Express your answer to four significant digits. B H hB ин Image from: M. M. Sternbeim 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
Transcribed Image Text: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, h, is 1.5 m and hB is 1.85 m. Using the gauge pressure at heart height from the problem above, assume the density kg of whole blood is 1060 m³ and that the average arterial (heart) pressure of this individual has been measured to be 97 mmHg. Express your answer to four significant digits. B H hB ин Image from: M. M. Sternbeim 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
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