Water of density p flows steadily through a smooth contraction of width w, as shown in Figure P3.61, and exits to atmospheric pressure. A Pitot tube in the jet is connected to a manometer where the other end is open to atmospheric pressure. The manometer fluid has the same density as water. The jet of water strikes a vane that turns the fluid an angle 3.61 0. (a) Find the ratio V2/V1 (this is a number), given that the gauge pressure upstream of the contraction is 12PV?. (b) Find V2 in m/s when h = 1 m. (c) Find the resultant force required to hold the vane in place in terms of p, V2, H2, w and 0. Gravity and viscous forces are not important. (d) If the vane now moves at a constant velocity V2/2 to the right, how does the resultant force required to hold the vane change?

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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If anyone can help with this problem I would appreciate it. Thank you! Answers listed in the book are: a) 5, (b) 4.4 m/s, (c) −ρV 22 H2w((1 + cos θ)i + sin θj), (d) magnitude ×1/4

H2
vane
Pa
V,
H1
P.
Pig
9.
V2
Figure P3.61
Transcribed Image Text:H2 vane Pa V, H1 P. Pig 9. V2 Figure P3.61
Water of density p flows steadily through a smooth contraction of width w, as shown
in Figure P3.61, and exits to atmospheric pressure. A Pitot tube in the jet is connected to
a manometer where the other end is open to atmospheric pressure. The manometer fluid
has the same density as water. The jet of water strikes a vane that turns the fluid an angle
3.61
0.
(a) Find the ratio V2/V1 (this is a number), given that the gauge pressure upstream of the
contraction is 12PV?.
(b) Find V2 in m/s when h =1m.
(c) Find the resultant force required to hold the vane in place in terms of p, V2, H2, w and
0. Gravity and viscous forces are not important.
(d) If the vane now moves at a constant velocity V2/2 to the right, how does the resultant
force required to hold the vane change?
Transcribed Image Text:Water of density p flows steadily through a smooth contraction of width w, as shown in Figure P3.61, and exits to atmospheric pressure. A Pitot tube in the jet is connected to a manometer where the other end is open to atmospheric pressure. The manometer fluid has the same density as water. The jet of water strikes a vane that turns the fluid an angle 3.61 0. (a) Find the ratio V2/V1 (this is a number), given that the gauge pressure upstream of the contraction is 12PV?. (b) Find V2 in m/s when h =1m. (c) Find the resultant force required to hold the vane in place in terms of p, V2, H2, w and 0. Gravity and viscous forces are not important. (d) If the vane now moves at a constant velocity V2/2 to the right, how does the resultant force required to hold the vane change?
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