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 (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. m/s

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 (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. m/s

Name: 5.DETAILSSERPSE10 14.6.OP.025.MY NOTESASK YOUR TEACHERA gas station u
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Description: 5.DETAILSSERPSE10 14.6.OP.025.MY NOTESASK YOUR TEACHERA 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 of3.50 cm and 1

College Physics

1st Edition

ISBN:9781938168000

Author:Paul Peter Urone, Roger Hinrichs

Publisher:Paul Peter Urone, Roger Hinrichs

Chapter12: Fluid Dynamics And Its Biological And Medical Applications

Section: Chapter Questions

Problem 8PE: The human circulation system has approximately 1109 capillary vessels. Each vessel has a diameter of...

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(a) Verify that a 19.0% decrease in laminar flow through a tube is caused by a 5.00% decrease in radius, assuming that all other factors remain constant, as stated in the text. (b) What increase in flow is obtained from a 5.00% increase in radius, again assuming all other factors remain constant?
(a) Suppose a blood vessel's radius is decreased to 90.0% 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. By what factor must the pressure difference increase? (b) If turbulence is created by the obstruction, what additional effect would it have on the flow rate?
Water is moving at a velocity of 2.00 m/s through a hose with an internal diameter of 1.60 cm. (a) What is the flow rate in liters per second? (b) The fluid velocity in this hose's nozzle is 15.0 m/s. What is the nozzle's inside diameter?
Considering the magnitude of typical arterial blood pressures, why are mercury rather than water manometers used for these measurements?
The water supply of a building is fed through a main pipe 6.00 cm in diameter. A 2.00-cm-diameter faucet tap, located 2.00 m above the main pipe, is observed to fill a 25.0-L container in 30.0 s. (a) What is the speed at which the water leaves the faucet? (b) What is the gauge pressure in the 6-cm main pipe? Assume the faucet is the only leak in the building.
If your body has a density of 995 kg/m3, what fraction of you will be submerged when floating gently in: (a) Freshwater? (b) Salt water, which has a density of 1027 kg/m3?
A small artery has a length of 1.1103 m and a radius of 2.5105 m. If the pressure drop across the artery is 1.3 kPa, what is the flow rate through the artery? (Assume that the temperature is 37° C.)
What physical characteristic distinguishes a fluid from a solid?
The pressure drop along a length of artery is 100 Pa, the radius is 10 mm, and the flow is laminar. The average speed of the blood is 15 mm/s. (a) What is the net force on the blood in this section of artery? (b) What is the power expended maintaining the flow?
(a) Verify that work input equals work output for a hydraulic system assuming no losses to friction. Do this by showing that the distance the output force moves is reduced by the same factor that the output force is increased. Assume the volume of the fluid is constant. (b) What effect would friction within the fluid and between components in the system have on the output force? How would this depend on whether or not the fluid is moving?
(a) Using Bernoulli's equation, show that the measured fluid speed v for a pitot tube, like the one in Figure 12.7(b), is given by v=( 2gh)1/2 , where h is the height of the manometer fluid, is the density of the manometer fluid, is the density of the moving fluid, and g is the acceleration due to gravity. (Note that v is indeed proportional to the square root of h, as stated in the text.) (b) Calculate v for moving air if a mercury manometer's h is 0.200 m. Figure 12.7 Measurement of fluid speed based on Bernoulli's principle. (a) A manometer is connected to two that are close together and small enough not to disturb the flow. Tube 1 is open at the end facing the flow. A dead spot having zero speed is created there. Tube 2 has an opening on the side, and so the fluid has a speed V across the opening; thus, pressure there drops. The difference in pressure at the manometer is 12v22 , and so h is proportional to 12v22 . (b) This type of velocity measuring device is a Prandtl tube, also known as a pitot tube.
Pressure in the spinal fluid is measured as shown in Figure 11.43. If the pressure in the spinal fluid is 10.0 mm Hg: (a) What is the reading of the water manometer in cm water? (b) What is the reading if the person sits up, placing the top of the fluid 60 cm above the tap? The fluid density is 1.05 g/mL. Figure 11.43 A water manometer used to measure pressure in the spinal fluid. The height of the fluid in the manometer is measured relative to the spinal column, and the manometer is open to the atmosphere. The measured pressure will be considerably greater if the person sits up.