The buildup of plaque on the walls of an artery may decreaseits diameter from 1.

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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