Three arterial geometries are shown in the figure, including a healthy blood vessel (i), a constricted blood vessel (ii), and a blood vessel with an aneurysm (a balloon-like bulge; (iii)). The speed of the blood at point ① in all three vessels is 40.0 cm/s. ii 2 1.00 cm 0.30 cm 1.00 cm 2 1.70 cm 1.00 cm (a) In which of the three blood vessels would the blood be flowing at a higher speed at point ②? O the healthy vessel (i) O the constricted vessel (ii) O the vessel with an aneurysm (iii) ○ The blood is flowing at the same speed at point 2 in all three blood vessels. (b) What would be the ratio of the speeds of the blood at point 2 in blood vessels (ii) and (iii)? v (ii) ✓ (iii) 32.1 (c) What If? What would be the ratio of the speeds of the blood at point ② in blood vessels (ii) and (iii) if the blood vessels were oriented vertically and point ② were 11.7 cm above point ①? V(ii) 32.1 V (iii) (d) What is the change in pressure (in Pa) between points ① and ② in each of the three blood vessels in the case presented in part (c)? (Assume blood = 1.05 x 103 kg/m³ and AP = P₂ - P₁.) ΔΡ. ΔΡ (i) (ii) AP (iii) × Which equation relates the pressure, velocity, and height of a fluid in a pipe? Which of these quantities change in Vessel (i) between points 1 and ②? Pa = 120.5 = -11483.16 1279 Pa Check your equation again carefully. Does pressure increase or decrease with height in a vertical pipe? Pa

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Chapter11: Fluid Statics
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Three arterial geometries are shown in the figure, including a healthy blood vessel (i), a constricted blood vessel (ii), and a blood vessel with an aneurysm (a balloon-like bulge; (iii)). The speed of the blood at point ① in all three vessels is 40.0 cm/s.
ii
2
1.00 cm
0.30 cm
1.00 cm
2
1.70 cm
1.00 cm
(a) In which of the three blood vessels would the blood be flowing at a higher speed at point ②?
O the healthy vessel (i)
O the constricted vessel (ii)
O the vessel with an aneurysm (iii)
○ The blood is flowing at the same speed at point 2 in all three blood vessels.
(b) What would be the ratio of the speeds of the blood at point 2 in blood vessels (ii) and (iii)?
v
(ii)
✓ (iii)
32.1
(c) What If? What would be the ratio of the speeds of the blood at point ② in blood vessels (ii) and (iii) if the blood vessels were oriented vertically and point ② were 11.7 cm above point ①?
V(ii) 32.1
V (iii)
(d) What is the change in pressure (in Pa) between points ① and ② in each of the three blood vessels in the case presented in part (c)? (Assume blood = 1.05 x 103 kg/m³ and AP = P₂ - P₁.)
ΔΡ.
ΔΡ
(i)
(ii)
AP (iii)
×
Which equation relates the pressure, velocity, and height of a fluid in a pipe? Which of these quantities change in Vessel (i) between points 1 and ②? Pa
= 120.5
= -11483.16
1279
Pa
Check your equation again carefully. Does pressure increase or decrease with height in a vertical pipe? Pa
Transcribed Image Text:Three arterial geometries are shown in the figure, including a healthy blood vessel (i), a constricted blood vessel (ii), and a blood vessel with an aneurysm (a balloon-like bulge; (iii)). The speed of the blood at point ① in all three vessels is 40.0 cm/s. ii 2 1.00 cm 0.30 cm 1.00 cm 2 1.70 cm 1.00 cm (a) In which of the three blood vessels would the blood be flowing at a higher speed at point ②? O the healthy vessel (i) O the constricted vessel (ii) O the vessel with an aneurysm (iii) ○ The blood is flowing at the same speed at point 2 in all three blood vessels. (b) What would be the ratio of the speeds of the blood at point 2 in blood vessels (ii) and (iii)? v (ii) ✓ (iii) 32.1 (c) What If? What would be the ratio of the speeds of the blood at point ② in blood vessels (ii) and (iii) if the blood vessels were oriented vertically and point ② were 11.7 cm above point ①? V(ii) 32.1 V (iii) (d) What is the change in pressure (in Pa) between points ① and ② in each of the three blood vessels in the case presented in part (c)? (Assume blood = 1.05 x 103 kg/m³ and AP = P₂ - P₁.) ΔΡ. ΔΡ (i) (ii) AP (iii) × Which equation relates the pressure, velocity, and height of a fluid in a pipe? Which of these quantities change in Vessel (i) between points 1 and ②? Pa = 120.5 = -11483.16 1279 Pa Check your equation again carefully. Does pressure increase or decrease with height in a vertical pipe? Pa
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