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(a) Convert normal blood pressure readings of 120 over 80 $\mathrm{mm} \mathrm{Hg}$ to newtons per meter squared using the relationship for pressure due to the weight of a fluid $(P=h \rho g)$ rather than a conversion factor. (b) Discuss why blood pressures for an infant could be smaller than those for an adult. Specifically, consider the smaller height to which blood must be pumped.

(a) Case-I: $P_{\mathrm{g}_{122}}=16.0 \times 10^{3} \mathrm{Nm}^{-2}$Case-II: $P_{\mathrm{gso}}=10.7 \times 10^{3} \mathrm{Nm}^{-2}$(b) $h_{\text {Infart }}>h_{\text {Adult }}$

Physics 101 Mechanics

Chapter 11

Fluid Statics

Fluid Mechanics

University of Michigan - Ann Arbor

Simon Fraser University

Hope College

University of Winnipeg

Lectures

04:16

In mathematics, a proof is…

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In mathematics, algebra is…

01:43

(a) Convert normal blood p…

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[M] A healthy child's…

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Assume that the mean systo…

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here, we first know that the blood pressure of a human is directly proportional, too. We can say the height. And so what this essentially means is that using for a reading of 120 millimeters of mercury, we can say that H 71 20 would be equaling 0.120 meters. And so the pressure of 120 millimetres of mercury would be equaling the density G H. This would be the density of mercury 13 1006 100 kilograms per cubic meter multiplied by the acceleration due to gravity multiplied by the height of 0.120 meters. And so the pressure of a 120 millimeters of mercury reading would be equaling 1.60 times, 10 to the fourth Newtons per square meter. This would be our final answer for part A. Now, for Part B. It's asking us why the blood pressure's for an instant infant could be smaller than those for an adult, and this is simply because the height so because the blood pressure is directly proportional for the height, we can say that because height for infant is around 0.50 meters or rather 50 centimeters. So a 0.50 meters and then, um height for an adult is around 1.80 meters. We can say that the infant blood essentially feels the pressure of Onley 0.50 meters, whereas the height of an adult is approximately 101.80 meters. And so because blood pressure is a CZ directly proportional to height, we can say that the blood pressure for infant would of course, be less than the blood pressure for an adult. And this is simply because an infant is smaller. That is the end of the solution. Thank you.

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