The dimensions of your velocities are cm/s and you have used the continuity equation correctly to get the two velocities.
You are correct that the Bernoulli equation is what you need to compute the pressure difference. It is only valid if viscous effects can be neglected, which is OK over such a short distance. With no difference in height,
(p2 - p1) = (1/2)(density)(V1^2 - V2^2)
Use 1.06 g/cm^3 for the density of blood.
p2 - p1 = (0.5)(1.06)[38.2^2 - 6.1^2] = 746 dyne/cm^2 (round to 750)
= 7.5*10^4 Pa = 75 kPa
That is quite high, about 3/4 atmosphere. No wonder people die of ruptured aneurysyms
.. for showing your own work. We encourage students to do that here, but very few do.
but when i checked the conversion online, 750 dyne converts to 75 Pa, not 75kPa, which conversion is correct?
Is there a reason you have a different conversion, that I'm not seeing?
1 Pascal = 1 N/m^2
= 10^5 dyne/10^4 cm^2
= 10 dyne/cm^2
You are quite right. My conversion was wrong.
thank you so much!
Have a good night
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