Giancoli 7th Edition textbook cover
Giancoli's Physics: Principles with Applications, 7th Edition

10-2: Density and Specific Gravity
10-3 to 10-6: Pressure; Pascal's Principle
10-7: Buoyancy and Archimedes' Principle
10-8 to 10-10: Fluid Flow, Bernoulli's Equation
10-11: Viscosity
10-12: Flow in Tubes; Poiseuille's Equation
10-13: Surface Tension and Capillarity
10-14: Pumps; the Heart

Question by Giancoli, Douglas C., Physics: Principles with Applications, 7th Ed., ©2014, Reprinted by permission of Pearson Education Inc., New York.
Problem 72
Q

A physician judges the health of a heart by measuring the pressure with which it pumps blood. If the physician mistakenly attaches the pressurized cuff around a standing patient’s calf (about 1 m below the heart) instead of the arm (Fig. 10–42), what error (in Pa) would be introduced in the heart’s blood pressure measurement?

Device for measuring blood pressure.
Figure 10-42 Device for measuring blood pressure.
A
1×104 Pa1 \times 10^4 \textrm{ Pa}
Giancoli 7th Edition, Chapter 10, Problem 72 solution video poster
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VIDEO TRANSCRIPT

This is Giancoli Answers with Mr. Dychko. The difference in pressure at the calf versus at the heart level is due to the column of blood between the calf and the heart. So the pressure due to a column of fluid is given by density of the fluid times g times the height. So that's 1.05 times 10 to the 3 kilograms per cubic meter— density of blood—times 9.8 newtons per kilogram times the 1 meter height distance between the heart and the calf and that gives about 1 times 10 to the 4 pascals. So the reading would be this much more than it should be.

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