Answered: Water moves through a constricted pipe…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter15: Fluids

Section: Chapter Questions

Problem 43PQ

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Question

Water moves through a constricted pipe in steady, ideal flow. At the lower point shown in the figure below, the pressure is 1.85 ✕ 10⁵ Pa and the pipe radius is 2.70 cm. At the higher point located at

y = 2.50 m,

the pressure is 1.27 ✕ 10⁵ Pa and the pipe radius is 1.30 cm.

A pipe is open at both its left and right ends. The pipe starts at the left end, extends horizontally to the right, curves up and to the right, and extends horizontally to the right again. The right end is higher than its left end, and the change in height is labeled y. The diameter at the right end is smaller than the diameter at the left end. The pressure at the left end is labeled P₁, and the pressure at the right end is labeled P₂.

(a) Find the speed of flow in the lower section.
m/s

(b) Find the speed of flow in the upper section.
m/s

(c) Find the volume flow rate through the pipe.
m³/s

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