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Define the continuity equation for incompressible fluids explaining all terms used. a) Water travels through an 8 cm diameter fire hose with a speed of 1.5 m/s. At the end of the hose the water flows out of a narrow nozzle with a speed of 20 m/s. What is the diameter of the nozzle? If we were to put our finger to cover part of the nozzle, what would be the effect on the exit speed of the water? Explain fully. b) The diameter of an artery is reduced to half its original value due to the presence of fat. Use a relevant equation including viscocity, to prove that in order to maintain the same volume flow rate of blood, the pressure difference across the artery (P1-P2) will have to be increased by 16 times.

Define the continuity equation for incompressible fluids explaining all terms used. a) Water travels through an 8 cm diameter fire hose with a speed of 1.5 m/s. At the end of the hose the water flows out of a narrow nozzle with a speed of 20 m/s. What is the diameter of the nozzle? If we were to put our finger to cover part of the nozzle, what would be the effect on the exit speed of the water? Explain fully. b) The diameter of an artery is reduced to half its original value due to the presence of fat. Use a relevant equation including viscocity, to prove that in order to maintain the same volume flow rate of blood, the pressure difference across the artery (P1-P2) will have to be increased by 16 times.

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Q4 Define the continuity equation for incompressible fluids explaining all terms used. a) Water travels through an 8 cm diameter fire hose with a speed of 1.5 m/s. At the end of the hose the water flows out of a narrow nozzle with a speed of 20 m/s. What is the diameter of the nozzle? If we were to put our finger to cover part of the nozzle, what would be the effect on the exit speed of the water? Explain fully! b) The diameter of an artery is reduced to half its original value due to the presence of fat. Use a relevant equation including viscocity, to prove that in order to maintain the same volume flow rate of blood, the pressure difference across the artery (P1-P2) will have to be increased by 16 times.
Transcribed Image Text:Q4 Define the continuity equation for incompressible fluids explaining all terms used. a) Water travels through an 8 cm diameter fire hose with a speed of 1.5 m/s. At the end of the hose the water flows out of a narrow nozzle with a speed of 20 m/s. What is the diameter of the nozzle? If we were to put our finger to cover part of the nozzle, what would be the effect on the exit speed of the water? Explain fully! b) The diameter of an artery is reduced to half its original value due to the presence of fat. Use a relevant equation including viscocity, to prove that in order to maintain the same volume flow rate of blood, the pressure difference across the artery (P1-P2) will have to be increased by 16 times.
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