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.

University Physics Volume 1

18th Edition

ISBN:9781938168277

Author:William Moebs, Samuel J. Ling, Jeff Sanny

Publisher:William Moebs, Samuel J. Ling, Jeff Sanny

Chapter14: Fluid Mechanics

Section: Chapter Questions

Problem 89P: A container of water has a cross-sectional area of A=0.1m2 . A piston sits top of the water (see be...

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(a) A water hose 2.00 cm in diameter is used to fill a 20.0-L bucket. If it takes 1.00 min to fill the bucket, what is the speed v at which water moves through the hose? (Note: 1 L = 1 000 cm3.) (b) The hose has a nozzle 1.00 cm in diameter. Find the speed of the water at the nozzle.
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