Problem Set 11
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School
Pikes Peak Community College *
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Course
3400
Subject
Aerospace Engineering
Date
Dec 6, 2023
Type
Pages
3
Uploaded by brendanfitzpatrick97
University
of
Missouri-Columbia
Department
of
Mechanical
&
Aerospace
Engineering
MAE
3400
-
Fluid
Mechanics
(Fall
2023)
Problem
Set
11
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Due:
5pm
on
Friday,
November
10,
2023!
Please
submit
original
hardcopy
of
your
problems
with
following
guidelines:
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scan
your
homework
before
submitting
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in
case
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graded
set
is
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your
set
in
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just
outside
Room
E3409.
Please
write
legibly.
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the
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can’t
read
it,
they
can’t
grade
it.
Start
each
problem
on
a
new
sheet
of
paper.
Number
each
page.
Include
a
diagram
for
each
problem
as
appropriate.
Define
all
variables
next
to
diagram.
Recommended
to
solve
the
problem
with
variables
and
insert
values
only
at
the
very
end
-
this
helps
the
grader
give
you
partial
credit
and
helps
you
check
your
work.
Box
in
your
final
answer.
Problem
1:...coiviiiiiiiicic
e,
/20
points
Problem
2:
....
coovviiiiiiiiee,
/20
points
Problem
3:...iiiii
e,
/20
points
Problem
4:
.....
ccoovviiiiiiiiiiiiciicenn,
/20
points
Problem
5.,
/20
points
Total:
oo,
/100
points
Mizzou
Engineering
Problem
Set
11
MAE-3400
FS2023
All
problems
are
drawn
from
A.
Gerhart
et.
Al,
9-th
Ed.
i
N\
Take
kinetic
energy
correction
factor
@
=
1
for
all
problems
in
this
set.
-
A
'
e
B
i
12
ft
Problem
1
(20
points)
Concepts:
Energy
equation
4t
A
water
siphon having
a
constant
inside
diameter
of
3
in.
is
arranged
as
shown.
If
|
.
the
friction
loss
between
A
and
B
is
0.8V
/2,
where
V
is
the
velocity
of
flow
in
the
3in—R—
siphon,
determine
the
flowrate
involved.
i’*
o
Problem
2
(20
points)
Concepts:
Energy
equation
6
in.
f—
For
the
180°
elbow
and
nozzle
flow
shown,
determine
the
loss
in
|
i
available
energy
from
sections
(1)
to
(2).
How
much
additional
available
el
i
energy
is
lost
from
section
(2)
to
where
the
water
comes
to
rest?
12‘Lin-
.
p1
=
15
psi
:
JJ
V1
=5
ftis
"’%)
~
f
Section
(1)
Problem
3
(20
points)
Concepts:
Energy
equation
Section
(2)
Water
is
to
be
moved
from
one
large
reservoir
to
another
at
a
higher
——
elevation
as
indicated.
The
loss
of
available
energy
associated
with
diameter
pipe
2
2.5
ft3/s
being
pumped
from
sections
(1)
to
(2)
is
loss
=
%
ft?/s?,
where
I/
is
the
average
velocity
of
water
in
the
8-in.-inside-diameter
piping
involved.
Determine
the
amount
of
shaft
power
required.
Section
(1)
Problem
4
(20
points)
Concepts:
Energy
equation
p=749.5mm
Hg__;L
Elevation
=
10
m
e
;
Water
at
10
°C
flows
through
the
system
shown
at
0.2
m3/s.
Energy
loss
D=30cm
in
the
40-cm
pipe
is
negligible.
Energy
loss
in
the
30-cm
pipe
is
known
to
be
1.5V2.
A
mercury
manometer
indicates
that
the
absolute
pressure
—
Elaatitn
at
the
top
of
the
30-cm
pipe
is
749.5
mm
Hg
absolute.
The
pressure
of
Water
40-§n$dr?ameter
the
surroundings
is
101,330
Pa.
Calculate
the
power
input
to
the
pump.
|7=19°
fiamfion
i
i
i<
Problem
5
(20
points)
Concepts:
Energy
equation
&
efficiency
Patm
=
14.7
psia
@Pz
=49.5
psia
Determine
the
volume
flowrate
and
minimum
power
/
ag
L
dy=4.0in.
input
to
the
water
pump
in
the
figure
on
the
right.
4
=60
.
)
}
Determine
the
actual
power
if
the
hydraulic
efficiency
is
P
.
16.0
ft
75%
and
losses
in
the
motor
and
bearings
are
negligible.
P1=
"
8.0
in.
13.0
psialQ
}
\V/
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