Using the appropriate equations, predict the effects in each scenario. a. Vessels X and Y have the same diameter. X is 5 cm long and Y is 10 cm long. Which has the faster velocity of flow for the same fluid? b. A blood vessel has a radius of 4 cm. Vasoconstriction reduces the radius to 1 cm. In order to maintain the same flow, by what factor must pressure increase? c. The blood vessel in B above dilates from 1 cm to 4 cm. Does the flow rate increase or decrease?

A small blood vessels near the skin surface has a radius of 10um, a length  of 1um and the pressure  drop along the blood vessel is 2.50pa.The viscosity of blood is 0.0027pa.s. i. What is the  volume flow rate of blood through this blood vessel. What is the velocity  of blood flow? ii.Vasodilation causes the radius of this blood vessel to increase to 12um, while leaving the pressure drop along the vessel unchanged? What is the velocity of blood flow?

9. A fountain shoots water 8 m straight up. a. What is the pressure at the point where the water exits the pipe at ground level and when it reaches it maximum height of 8 m? b. How fast must the water be moving when it exits the pipe at ground level?

5. DETAILS SERPSE10 14.6.OP.025. MY NOTES ASK YOUR TEACHER A gas station uses a Venturi tube to measure the flow rate of gasoline. The density of the gasoline is p = 7,20 x 102 kg/m, the inlet and outlet tubes, respectively, have a radius of 3.50 cm and 1.75 cm, and the difference in input and output pressure is P, - P, = 1.20 kPa. P Pa (a) Find the speed (in m/s) of the gasoline as it leaves the hose. m/s O Meeting now (b) Find the fluid flow rate in cubic meters per second. m3/s

A 5.8 cm diameter horizontal pipe gradually narrows to 4.1 cm. When water flows through this pipe at a certain rate, the gauge pressure in these two sections is 31.0 kPa and 22.2 kPa, respectively.     Part A What is the volume rate of flow?

E5. In a hydraulic system, a force of 400 N is exerted on a pis- ton with an area of 0.001 m². The load-bearing piston in the system has an area of 0.2 m². a. What is the pressure in the hydraulic fluid? b. What is the magnitude of the force exerted on the load- bearing piston by the hydraulic fluid?

8. A piece of copper has a mass of 2.6 kg. a. What is the volume of this piece of copper?b. The copper is then totally submerged in water. What is the buoyant force acting on it? c. What is the piece of copper’s apparent weight in the water?

A barrel contains a 0.160 m layer of oil floating on water that is 0.170 m deep. The density of the oil is 600 kg/m3. a. What is the gauge pressure at the oil-water interface? b. What is the gauge pressure at the bottom of the barrel?

A viscous fluid flows in two different pipes. Pipe 1 has a radius r1, and Pipe 2 has a radius r2. If both pipes have the same length and r1 > r2, choose the correct statement about the pressure difference of the fluid in Pipe 1 and Pipe 2 The pressure difference of the fluid is the same in Pipe 1 and Pipe 2. The fluid in Pipe 1 has larger pressure difference. It cannot be determined in which pipe the fluid has larger pressure difference. The fluid in Pipe 2 has larger pressure difference.

Three glass containers containing water of the same temperature have different shapes and thickness. The distance between the top surface of the water and the bottom of each glass container is the same. Which of the following statements correctly characterizes the pressure at the bottom of the glass containers? (explain why) 2 3 a. Pressure at the bottom of all glass containers is the same. b. Pressure at the bottom of (2) and (3) are the highest because they have the same volume. c. Pressure at the bottom of (2) is the highest because it is wide. d. Pressure at the bottom of (1) is the highest because it is narrow. e. Pressure at the bottom of (3) is the highest because it is vertically aligned.