The buildup of plaque on the walls of an artery may decreaseits diameter from 1.
ID: 1729895 • Letter: T
Question
The buildup of plaque on the walls of an artery may decreaseits diameter from 1.1 cm to 0.61 cm. Thespeed of blood flow was 17 cm/s beforereaching the region of plaque buildup. (a) Find the speed of blood flow within the plaque region.(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.) I found part A to be 55.2 cm/s which is correct, but I do notunderstand how to calculate part B. The buildup of plaque on the walls of an artery may decreaseits diameter from 1.1 cm to 0.61 cm. Thespeed of blood flow was 17 cm/s beforereaching the region of plaque buildup. (a) Find the speed of blood flow within the plaque region.
(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.) I found part A to be 55.2 cm/s which is correct, but I do notunderstand how to calculate part B.
Explanation / Answer
From Bernoulli's law P1 + 1/2 v12 = P2+ 1/2 v22 P1 - P2 = 1/2 (v22 - v12 ) = 1/2(103 kg/m3) (55.22 - 172 ) * 10-4 =137.9 Pa P1 - P2 = 1/2 (v22 - v12 ) = 1/2(103 kg/m3) (55.22 - 172 ) * 10-4 =137.9 Pa
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