The figure above depicts a bird's-eye view of a blocked horizontal artery branching off into four similar arterioles. The artery is cylindrical with a diameter of 1.5 mm and each arteriole has a diameter of 0.5 mm. Four key positions are denoted in the figure. Positions i and iv are in the centre of one of the aterioles, with position iv being 5 mm downstream from position i. Position iii is in the centre of the artery and position ii is out towards the wall of the artery. The average speed of the blood in the artery is v = 0.05 m/s. [Useful physical parameters: Blood has viscosity of 4×10¬3 Pa-s and a density of ~1050 kg/m³.] (a) What is the average speed of the blood in each arteriole? Varteriole = m/s (b) Considering the viscosity of blood, at which position (i-iv) is the blood moving slowest? OA. i OB. ii OC.i OD. iv (c) If the pressure at point i is P=1800 Pa, what is the pressure at point Py? (note that there is no change in height between these two positions) Piv = Pa

Structural Analysis
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Dan
The figure above depicts a bird's-eye view of a blocked horizontal artery branching off into four similar arterioles. The artery is cylindrical with a diameter
of 1.5 mm and each arteriole has a diameter of 0.5 mm. Four key positions are denoted in the figure. Positions i and iv are in the centre of one of the
aterioles, with position iv being 5 mm downstream from position i. Position ii is in the centre of the artery and position ii is out towards the wall of the
artery. The average speed of the blood in the artery is v = 0.05 m/s.
[Useful physical parameters: Blood has viscosity of 4×10¬3 Pa-s and a density of-1050 kg/m³.]
(a) What is the average speed of the blood in each arteriole?
Varteriole =
m/s
(b) Considering the viscosity of blood, at which position (i-iv) is the blood moving slowest?
OA.i
OB. i
C. i
D. iv
(c) If the pressure at point i is P=1800 Pa, what is the pressure at point Py? (note that there is no change in height between these two positions)
Py =
Pa
Transcribed Image Text:Dan The figure above depicts a bird's-eye view of a blocked horizontal artery branching off into four similar arterioles. The artery is cylindrical with a diameter of 1.5 mm and each arteriole has a diameter of 0.5 mm. Four key positions are denoted in the figure. Positions i and iv are in the centre of one of the aterioles, with position iv being 5 mm downstream from position i. Position ii is in the centre of the artery and position ii is out towards the wall of the artery. The average speed of the blood in the artery is v = 0.05 m/s. [Useful physical parameters: Blood has viscosity of 4×10¬3 Pa-s and a density of-1050 kg/m³.] (a) What is the average speed of the blood in each arteriole? Varteriole = m/s (b) Considering the viscosity of blood, at which position (i-iv) is the blood moving slowest? OA.i OB. i C. i D. iv (c) If the pressure at point i is P=1800 Pa, what is the pressure at point Py? (note that there is no change in height between these two positions) Py = Pa
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