A medical technician is trying to determine what percentage of apatient's artery is blocked by plaque. To do this, she measures theblood pressure just

asked 2021-04-14
A medical technician is trying to determine what percentage of apatient's artery is blocked by plaque. To do this, she measures theblood pressure just before the region of blockage and finds that itis \(\displaystyle{1.20}\times{10}^{{{4}}}{P}{a}\), while in the region of blockage it is \(\displaystyle{1.15}\times{10}^{{{4}}}{P}{a}\). Furthermore, she knows that blood flowingthrough the normal artery just before the point of blockage istraveling at 30.0 cm/s, and the specific gravity of this patient'sblood is 1.06. What percentage of the cross-sectional area of thepatient's artery is blocked by the plaque?

Answers (1)

We are given with
\(\displaystyle{v}_{{{1}}}={30}\) cm/s
=0.3 m/s
specific gravity RD = 1.06
\(\displaystyle{P}_{{{b}}}={R}{D}\times\) density of water
as the heights are equal we can write
and according to the bernoulis equation we get
so according to the equation of continuity we get
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