Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of A, and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles
Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional areas of A, and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross- sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown. Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do not change with time. a) Find an expression for Q2 b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the other flow rates, areas and angles c) Find an expression for the vertical force on the vane in terms of the flow rates, areas and angles
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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![Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional
areas of Ao and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross-
sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are
deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown.
Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do
not change with time.
a) Find an expression for Q2
b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the
other flow rates, areas and angles
c) Find an expression for the vertical force on the vane in terms of the flow rates, areas
and angles
Q₁
0₁
A₁
le
Ao
10₂
A₂
22
Figure Q2: Fluid entering a vanes and exiting in 2 directions.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F88987a03-4211-4a24-a161-6afee14c4628%2Ff1ae95d4-ba43-4ea7-9a86-a97501560af7%2F6w91o7_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Water falls into a vane and it ejected through two pipes. The inlet has a cross-sectional
areas of Ao and the flowrate is Qo. The exits have flow rates of Q₁ and Q2, and cross-
sectional areas of A₁ and A₂, respectively, as shown in Figure Q2. Pipes 1 and 2 are
deflected at angles of 0₁ and 0₂ with respect to the horizontal, as shown.
Assume that the fluid at each inlet and outlet is at atmospheric pressure. The flowrates do
not change with time.
a) Find an expression for Q2
b) If the horizontal force on the vane is zero, find an expression for Q₂ in terms of the
other flow rates, areas and angles
c) Find an expression for the vertical force on the vane in terms of the flow rates, areas
and angles
Q₁
0₁
A₁
le
Ao
10₂
A₂
22
Figure Q2: Fluid entering a vanes and exiting in 2 directions.
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