Show that if the pressure drop remains Constant, reduction of the Radius of the arteriole from 0.1 to 0.08mm decreases the blood flow by more than a factor of 2. b) Calculate the decrease in the radius Required to reduce the blood flow by 90%.
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1. a) Show that if the pressure drop remains Constant, reduction of the Radius of the arteriole from 0.1 to 0.08mm decreases the blood flow by more than a factor of 2.
b) Calculate the decrease in the radius Required to reduce the blood flow by 90%.
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- The pressure drop along a length of artery is 103 Pa, the radius is 9.5 mm, and the flow is laminar. The average speed of the blood is 16.5 mm/s.Randomized Variables P = 103 Par = 9.5 mms = 16.5 mm/s a. What is the net force on the blood in this section of artery in N? b. What is the power expended maintaining the flow in mW?L (a) The heart pumps blood into the aorta at a rate of 4 . Calculate the average speed of blood if min the aorta's diameter is 2.1 cm. 1155 V blood cm S (b) The aorta branches many times until the blood finally reaches the smallest branch: the capillaries. Each capillary has an average diameter of 6.9 μm and the blood slows down to 0.5 the number of capillaries in the body. Does this answer look reasonable? mm Calculate . S n 1840 caps capillaries (c) For what duration of time is a red blood cell in a capillary if the average capillary length is 1 mm? t = 0.0867 SDetermine the pressure drop along an arteriole of 20 mm diameter and 8 mm length. Assume a volume flow rate of 2.9 x 10 12 m3/s. Assume h = 5 x10-3 Pa s. O 8.9 x 103 Pa O 1.8 x 103 Pa O 3.4 x 103 Pa O 4.3 x 103 Pa O 5.3 x 103 Pa O 6.7 x 103 Pa
- The minimum pressure require to force the blood of density 1.04 g cm-3 from the heart to the top of the head (vertical distance = 60 cm) is:This is a practice problemWhich is not a reason why the blood pressure meter cuff is placed in the left arm? Choices: Because it has the same pressure as the heart since it belongs to the same horizontal Because it has the brachial artery which pulse is comparable to the heart Because it is nearest to the heart compared to other parts Because it is the most convenient part of the patient
- 3. In scuba diving, a regulator is used so that the pressure of the air the diver breathes is close to that of the ambient water. A reckless swimmer decides to use a hose sticking out of the surface to breathe underwater while diving in a lake. When the air pressure in the lungs is at a pressure of around 0.155 atmospheres below the ambient pressure, lung injury may occur. Find the depth at which the swimmer would experience such a pressure differential.A fish maintains its depth in fresh water by adjusting the air content of porous bone or air sacs to make its average density the same as that of the water. Suppose that with its air sacs collapsed, a fish has a density of 1.11 g/cm³. To what fraction of its expanded body volume must the fish inflate the air sacs to reduce its density to that of water? Number Units No units MIf the viscosity of blood is 2.1x 10^-3 pa.s, and capillary of 100 um radius has a length of 4cm , then the blood flow resistance a cross this capillary be * 214x10^12 pa.sm^-3 2.14x10^12 pa.sm^-3 0.214 x10^12 pa.sm^-3 0.00214x10^12 pa.sm^-3
- 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.Inthelungs,therespiratorymembraneseparatestinysacsofair(absolute pressure=1.00x105 Pa) from the blood in the capillaries. These sacs are called alveoli, and it is from them that oxygen enters the blood. The average radius of the alveoli is 0.125 mm, and the air inside contains 14% oxygen, which is somewhat smaller amount than in fresh air. Assuming that the air behaves as an ideal gas at body temperature (310 K), find the number of oxygen molecules in one of the sacs.A teenager in a large pool at a certain depth D, equipped with a full scuba gear, takes enough air from his tank to fully expand his lungs then swam up to the surface. During the ascent, the teenager failed to exhale which is not advisable. The difference between the external pressure and the acquired pressure in his lungs is 8.7 kPa. Determine the depth D. O 29 m 0.89 m O 9.5 m 8.7 m