Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law [Q=πR4(P2−P1)/(8ηL)] applies to each. In this law, P2 is the pressure upstream, P1 is the pressure downstream, and Q is the volume flow rate. The ratio of the radius of hose B to the radius of hose A is RB/RA = 1.20. Find the ratio of the speed of the water in hose B to the speed in hose A.
Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law [Q=πR4(P2−P1)/(8ηL)] applies to each. In this law, P2 is the pressure upstream, P1 is the pressure downstream, and Q is the volume flow rate. The ratio of the radius of hose B to the radius of hose A is RB/RA = 1.20. Find the ratio of the speed of the water in hose B to the speed in hose A.
Stars and Galaxies
9th Edition
ISBN:9781305120785
Author:Michael A. Seeds, Dana Backman
Publisher:Michael A. Seeds, Dana Backman
Chapter19: Astrobiology: Life On Other Worlds
Section: Chapter Questions
Problem 3DQ
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Two hoses are connected to the same outlet using a Y-connector, as the drawing shows. The hoses A and B have the same length, but hose B has the larger radius. Each is open to the atmosphere at the end where the water exits. Water flows through both hoses as a viscous fluid, and Poiseuille's law [Q=πR4(P2−P1)/(8ηL)] applies to each. In this law, P2 is the pressure upstream, P1 is the pressure downstream, and Q is the volume flow rate. The ratio of the radius of hose B to the radius of hose A is RB/RA = 1.20. Find the ratio of the speed of the water in hose B to the speed in hose A.
![Water from
outlet
Hose A
Hose B](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F83e4d0e0-41e1-45c9-8283-0ae60fe430d6%2Fcbf52a23-7598-4007-a739-7edf9b45bd7c%2Fay6899p_processed.gif&w=3840&q=75)
Transcribed Image Text:Water from
outlet
Hose A
Hose B
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