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Problem 1 = = = 13,600 Manometers can be used in combination with cardiovascular catheters to measure blood pressure based on height differences. In the example in Figure 1, the manometer contains two fluids: water (density p 995 Kg/m³) and mercury (density pm Kg/m³). The density of blood is p 1,060 Kg/m³. Assume that there is atmospheric pressure at the interface between mercury and air. The interface between mercury and water is at z₁ = 7 cm, the interface between water and blood is at Z2 27 cm, and the tip of the manometer at za 10 cm. Recall that the fluid statics equation is dp/dz-pg 0, when the z axis is taken pointing downwards. a. What is the gauge pressure po at the interface with air, in mmHg? (5 points) b. Calculate the gauge pressure ps at the tip of the manometer, in mmHg. (5 points) N Z37 blood ப Zz Water Mercury Zo 3=0 z Figure 1. Manometer for blood pressure measurement.

Problem 1 = = = 13,600 Manometers can be used in combination with cardiovascular catheters to measure blood pressure based on height differences. In the example in Figure 1, the manometer contains two fluids: water (density p 995 Kg/m³) and mercury (density pm Kg/m³). The density of blood is p 1,060 Kg/m³. Assume that there is atmospheric pressure at the interface between mercury and air. The interface between mercury and water is at z₁ = 7 cm, the interface between water and blood is at Z2 27 cm, and the tip of the manometer at za 10 cm. Recall that the fluid statics equation is dp/dz-pg 0, when the z axis is taken pointing downwards. a. What is the gauge pressure po at the interface with air, in mmHg? (5 points) b. Calculate the gauge pressure ps at the tip of the manometer, in mmHg. (5 points) N Z37 blood ப Zz Water Mercury Zo 3=0 z Figure 1. Manometer for blood pressure measurement.

Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
Engineering Fundamentals: An Introduction to Engineering (MindTap Course List)
5th Edition
ISBN:9781305084766
Author:Saeed Moaveni
Publisher:Saeed Moaveni
Chapter18: Mathematics In Engineering
Section: Chapter Questions
Problem 32P
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Problem 1 = = = 13,600 Manometers can be used in combination with cardiovascular catheters to measure blood pressure based on height differences. In the example in Figure 1, the manometer contains two fluids: water (density p 995 Kg/m³) and mercury (density pm Kg/m³). The density of blood is p 1,060 Kg/m³. Assume that there is atmospheric pressure at the interface between mercury and air. The interface between mercury and water is at z₁ = 7 cm, the interface between water and blood is at Z2 27 cm, and the tip of the manometer at za 10 cm. Recall that the fluid statics equation is dp/dz-pg 0, when the z axis is taken pointing downwards. a. What is the gauge pressure po at the interface with air, in mmHg? (5 points) b. Calculate the gauge pressure ps at the tip of the manometer, in mmHg. (5 points) N Z37 blood ப Zz Water Mercury Zo 3=0 z Figure 1. Manometer for blood pressure measurement.
Transcribed Image Text:Problem 1 = = = 13,600 Manometers can be used in combination with cardiovascular catheters to measure blood pressure based on height differences. In the example in Figure 1, the manometer contains two fluids: water (density p 995 Kg/m³) and mercury (density pm Kg/m³). The density of blood is p 1,060 Kg/m³. Assume that there is atmospheric pressure at the interface between mercury and air. The interface between mercury and water is at z₁ = 7 cm, the interface between water and blood is at Z2 27 cm, and the tip of the manometer at za 10 cm. Recall that the fluid statics equation is dp/dz-pg 0, when the z axis is taken pointing downwards. a. What is the gauge pressure po at the interface with air, in mmHg? (5 points) b. Calculate the gauge pressure ps at the tip of the manometer, in mmHg. (5 points) N Z37 blood ப Zz Water Mercury Zo 3=0 z Figure 1. Manometer for blood pressure measurement.
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