(a) The volume flow rate in an artery supplying the brain is 4.0 x 10-6 m3/s. If the radius of the artery is 5.7 mm, determine the average blood speed. (b) Find the average blood speed as a constriction in the artery if the constriction reduces the radius by a factor of 3. Assume that the volume flow rate is the same as that in part (a).

(a) Calculate the arterial blood pressure in the head of an erect person.  Assume that the head is 50 cm above the heart.  (The density of blood is 1.05 g/cm3.) (b) Compute the average arterial pressure in the legs of an erect person. 130 cm below the heart. Answer: (a) p = 61 torr; (b) p = 200 torr

The average body density of a human is 1030 kg/m3, yet we typically float in seawater when we fill our lungs with air and sink when we exhale. Therefore, our effective density is similar to that of seawater, 1010 kg/m3. If the typical total volume (body density + lung capacity) of a human is 0.25 m3, what volume is due to body mass and what volume is due to lung capacity (you can assume the density of air is rair = 1.2 kg/m3)

This is a practice problem

A hypodermic needle of length 3 cm and internal diameter of 0.45 mm is used to draw blood with viscosity of 4 mPl. Assuming the pressure difference across the needle is 80 cmHg, how long does it take to draw 15 mL?

A medical technician is trying to determine what percentage of a patient's artery is blocked by plaque. To do this, she measures the blood pressure just before the region of blockage and finds that it is P₁, while in the region of blockage it is P2. Furthermore, she knows that blood flowing through the normal artery just before the point of blockage is traveling at v₁, and the density of this patient's blood is p. The patient is laying down so there are no differential effects due to gravity. a. Symbolically, what is the ratio of the artery radius at the blockage, r2, to the ratio of the artery radius at the blockage, r₁? (find r₂/r₁) b. Find the numerical value of r2/r1. P₁ = 1.20x104 Pa, P₂=1.15×104 Pa, v₁ =30.0 cm/s, p = 1060 kg/m³.

The blood speed in a normal segment of a horizontal artery is 0.14 m/s. An abnormal segment of the artery isnarrowed by an arteriosclerotic plaque down to one-fifth its normal cross-sectional area. What is the difference in bloodpressures between the normal and constricted segments of the artery? (The density of the blood is 1060 kg/m3)

At least how high (in 2 decimal places) above the vein must an intravenous bag (IV) bag be hung in order for the fluid to flow into the vein? Assume the gauge blood pressure in the vein is 12 mmHg and that the blood and the fluid in the IV bag have the same density (p=1060 kg/m³).

Calculate the pressure drop per centimeters length of the aorta when the blood flow rate is 25 L/min. The radius of the aorta is about 1 cm, and the coefficient of viscosity of blood is 4 x 10-2 poise. Answer: ▵P= 3.19 x 10-2 torr.

If the flow rate of the blood flowing through an artery of 16 mm diameter is 90.5 cm3/s, the average speed of the blood flow is