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 SThis is a practice problem
- 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.If 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^-3A 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.
- 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 mSuppose a blood vessel’s radius is decreased to 88 % of its original value by plaque deposits and the body compensates by increasing the pressure difference along the vessel to keep the flow rate constant. a. By what factor must the pressure difference increase?It is a fact that blood flows more rapidly in the aorta than in the capillaries. The cross sectional area of the aorta must be ___________ the total cross sectional area of the capillaries. less than equal to greater than Consider an incompressible liquid flowing in a pipe of constant diameter. ΔP is the pressure difference between the 2 ends of the pipe. Choose the correct statement regarding the volumetric flow. It will decrease with increased ΔP, and increase with greater pipe radius. It will increase with increased ΔP, and increase with greater length of the pipe. it will decrease with greater length of the pipe, and increase with greater pipe radius. it will decrease with increased viscosity of the liquid, and decrease with greater pipe radius.
- 41. Suppose a person is 182 cm tall. A typical blood pressure is often given as 110/70 mm Hg, with a mean pressure of 80 mm Hg. A. Do you think this is the gauge pressure or absolute pressure? Why? If the pressure at the top of the head is about 39 mm Hg, how far away is this person's head from the heart? Assume the density of blood is about 6% higher than that of water. t, What then would be the blood pressure.of this 6, person at their feet? b. Suppose this person suffers a puncture wound around the same height as the heart where the opening is about 3 mm in diameter. How far could blood shoot from their body assuming it comes out horizontally with 0 m/s initial horizontal velocity? %3D = 0.754 Since horizontal velocity is zero it will not go eny for than body Please explain the variábles used in the equation to solve for F= P.A in partad of this question. Comment > Thank yo!!25,708 E 8. Water at a pressure of 4.70 atm at street level flows into an office building at a speed of 0.80 m/s through a pipe 5.00 cm in diameter. The pipes taper down to 2.00 cm in diameter by the top floor, 22.0 m above. Calculate the water pressure in such a pipe on the top floor. Pa 27 R DI C F V 96 5 T G tv 6. B MacBook Air & 7 D N 34 8 M ( 9 K A O O W F10 P P zoom by mi 04 M vauies or the puffer s Am delete