Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have a cross-sectional area A.. Outlet pipe 2 is orientated at an angle 8₂ from the horizontal, and outlet is orientated 03 from the horizontal. a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3. b) Find an expression for the horizontal force on the pipe junction. c) Find an expression for the vertical force acting on the pipe junction.
Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have a cross-sectional area A.. Outlet pipe 2 is orientated at an angle 8₂ from the horizontal, and outlet is orientated 03 from the horizontal. a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3. b) Find an expression for the horizontal force on the pipe junction. c) Find an expression for the vertical force acting on the pipe junction.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
Al pipes in the same plane at the same height
![Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as
shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have
a cross-sectional area A. Outlet pipe 2 is orientated at an angle 0₂ from the horizontal,
and outlet is orientated 03 from the horizontal.
a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3.
b) Find an expression for the horizontal force on the pipe junction.
c) Fir an expression for the
cal force acting on the pipe junction.
d) If 0₂ 03 = 60°, find a such that there is no vertical force acting on the system.
=
A₁
A₁
Ao
02
103
aQ](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc41f43b5-1aa0-491d-a8d1-548d7b858afd%2F0ee0a46d-d023-4b2c-a687-e14182459c5f%2F38d159e_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Fluid flows into a junction at a flowrate Q, and exits via two pipes of equal diameter, as
shown in figure Q5. The inlet pipe has a cross-sectional area A₁, and the outlet both have
a cross-sectional area A. Outlet pipe 2 is orientated at an angle 0₂ from the horizontal,
and outlet is orientated 03 from the horizontal.
a) If the flowrate in pipe 2 is aQ, find the flowrate in pipe 3.
b) Find an expression for the horizontal force on the pipe junction.
c) Fir an expression for the
cal force acting on the pipe junction.
d) If 0₂ 03 = 60°, find a such that there is no vertical force acting on the system.
=
A₁
A₁
Ao
02
103
aQ
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