The buildup of plaque on the walls of an artery may decrease itsdiameter from 1.
ID: 1746405 • Letter: T
Question
The buildup of plaque on the walls of an artery may decrease itsdiameter from 1.1 cm to 0.81 cm. Thespeed of blood flow was 14 cm/s beforereaching the region of plaque buildup. (a) Find the speed of blood flow within theplaque region. cm/s(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.) in Pa (a) Find the speed of blood flow within theplaque region. cm/s
(b) Find the pressure drop within the plaque region. (Assume thatblood has the same density as water.) in Pa
Explanation / Answer
Given thatthe diameter isd1 = 1.1cm =1.1*10-2m and d2 = 01.81cm =0.81*10-2m Initial speed ofthe blood is U1 = 14cm/s ----------------------------------------------------------------- From the equationof continuity A1*U1 = A2*U2 *(d1/2)2*U1= *(d2/2)2*U2 U2 = U1*(d1/d2)2 =-------- m/s Thepressure difference is P1-P2 =(1/2)(U12 -U22) =--------- N/m where is the density ofthe blood .Related Questions
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