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Oregon State University, Corvallis *
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Course
530
Subject
Mechanical Engineering
Date
Dec 6, 2023
Type
Pages
18
Uploaded by CoachHerring1955
2022/5/17
21:12
Quiz:
Midterm
Midterm
Started:
May
16
at
8:07pm
Quiz
Instructions
The
exam
is
open
book
and
open
notes.
You
may
consult
with
your
classmates
on
strategy,
but
the
work
must
be
your
own.
Question
1
2
pts
The
recently
closed
Boardman
coal
plant
in
Boardman,
OR
has
a
campus
of
approximately
2
square
km,
and
a
rated
power
output
of
550
MW.
(It
was
permanently
closed
on
Oct
15
2020.)
A
satellite
image
of
the
facility
is
shown
below.
Assume
the
coal
plant
has
a
capacity
factor
of
72.6%.
How
much
energy
(in
MWh)
does
the
coal
plant
produce
in
a
year?
N
vl
AN
-~
Cr
N
-
-
%
"
At
)/
s
~
—
i
«
3%
N\
i
3%
;
e
S
&\
ths
n
-
4
L
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‘.
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L
"of""u-‘vhwn.h""
>
B
.
-
=gk
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o
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\.\
-
Pt
e
‘..',.,l;_"’
SR
N
b
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e
)
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4
-
2
l,‘
e
»
A
A
4
.
&
L
Y
S
.:,,,:‘
.‘*,«
Rl
T
AV
TS
Report
a
problem
|
K
3,497,868
Question
2
2
pts
https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take
1/18
2022/5/17
21:12
Quiz:
Midterm
Assume
a
wind
farm
of
300
Vestas
V90
2
MW
wind
turbines
is
being
considered
as
a
replacement
for
the
coal
plant.
Assume
a
wind
capacity
factor
of
30.7%.
How
much
energy
(in
MWh)
does
the
wind
farm
produce
in
a
year?
1,613,592
The
questions
below
utilize
the
wind
turbine
power
curve
below.
The
turbine
power
is
the
dark
trace
with
diamond
markers,
using
the
y-axis
scale
on
the
left.
The
coefficient
of
power
is
the
light
trace
with
circle
markers,
using
the
y-axis
scale
on
the
right.
Assume
this
turbine
is
deployed
in
a
location
with
an
average
wind
speed
of
7
m/s.
I
Power
P
[kW]
Power
coefficient
Cp
[-]
O
S
S
S
S
>
()
60
2,000
1,750
0.50
L2
0.40
1,250
1,000
0.30
750
0.20
500
0.10
250
0
0.00
0
5
10
15
20
25
Wind
speed
v
at
hub
height
[m/s]
Question
3
1
pts
What
is
the
wind
turbine
rated
power
(in
kW)?
2,100
https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take
2/18
2022/5/17
21:12
Quiz:
Midterm
Question
4
1
pts
What
is
the
turbine
maximum
coefficient
of
power,
as
a
percentage
of
the
Betz
limit?
(Answer
in
percent,
no
%
sign.)
84.7
Question
5
2
pts
At
a
wind
speed
of
9
m/s,
how
much
wind
power
is
moving
through
the
turbine
swept
area?
(Answer
in
kW.)
2,500
Question
6
1
pts
What
are
boundaries
of
region
I117?
@
13
m/sto
25
m/s
O
2m/sto
13
m/s
(O
2m/sto
7
m/s
O
0m/sto2m/s
(O
7
m/sto
25
m/s
Question
7
1
pts
In
region
llI:
https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take
3/18
2022/5/17
21:12
Quiz:
Midterm
(O
The
turbine
speed
and
blade
pitch
are
fixed.
@
The
turbine
speed
is
fixed
and
the
blade
pitch
is
variable.
(O
The
turbine
speed
is
variable
and
the
blade
pitch
is
fixed.
(O
The
turbine
speed
and
blade
pitch
are
variable.
(O
The
wind
speed
is
too
high
and
the
turbine
is
shut
down.
Question
8
1
pts
What
is
the
average
turbine
output
power?
(Assume
ug
is
the
wind
speed
and
f(ug)
is
the
wind
speed
probability
density
function.)
O
<
Purbine
>=
[y
Prurbine
(u0)®
f(uo)
dug
O
<
Pubine
>=
Prurbine
(wo)
[y
f(uo)
dug
®
<
Purbine
>=
[,
Prurbine
(o)
f(uo)
dug
O
<
Purtine
>=
[y
5PAturbine
w3
f(uo)
dug
O
<
P,
turbine
—
—
P,
rated
fOoo
U%
f
(UO)
duO
Question
9
1
pts
Assume
a
potential
wind
site
is
characterized
with
Rayleigh
distribution
f(ug)
with
a
mean
wind
speed
of
7
m/s.
For
any
observation
of
a
wind
speed
at
a
random
time,
what
is
the
chance
the
wind
speed
will
fall
within
region
Il
of
this
turbine?
O
[y
fluo)
duo
O
[%
f(up)
dug
®
[
£(7)
dug
>
f
f(13)
dug
https://canvas.oregonstate.edu/courses/1883392/quizzes/27684
34/take
4/18
2022/5/17
21:12
Quiz:
Midterm
O
[7
£(13)
dug
Question
10
1
pts
Why
does
the
coefficient
of
power
decrease
for
the
high
wind
speeds?
(O
The
generator
operates
less
efficiently
at
high
speeds
(O
The
turbine
speed
is
being
decreased
to
reduce
stress
on
the
turbine
(O
The
blades
are
not
optimized
for
the
less
frequent
wind
speeds
above
15
m/s
@
The
blades
are
being
pitched
to
spill
the
excess
power
(O
Higher
wind
speeds
are
less
frequent
For
the
questions
below,
assume
we
have
a
grid
connected
energy
storage
system
with
the
following
specifications:
Energy
rating:
98
kWh
(full
SOC
range)
Power
rating:
51
kW
Power
electronics
charge
efficiency:
90%
Power
electronics
discharge
efficiency:
95%
Storage
medium
round
trip
efficiency:
80%
Question
11
2
pts
If
the
power
electronics
are
delivering
21.9
kW
to
the
grid,
what
is
the
power
drawn
from
the
link
between
the
storage
medium
and
the
power
electronics
(P,
)?
(Answer
in
kW.)
23.05
https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take
5/18
2022/5/17
21:12
Quiz:
Midterm
Question
12
2
pts
If
the
power
electronics
are
delivering
27.3
kW
to
the
grid,
what
is
the
power
withdrawn
from
the
storage
medium
(P%,,)?
(Answer
in
kW.)
32.13
Question
13
2
pts
If
the
power
electronics
are
delivering
28.3
kW
to
the
grid,
and
the
system
starts
at
full
SOC,
what
is
the
SOC
after
2
hours?
(Answer
in
fractional,
not
percent.)
0.32
Question
14
2
pts
If
the
power
electronics
are
discharging
at
-37.9
kW
(in
other
words
charging),
what
is
the
power
drawn
from
the
link
between
the
storage
medium
and
the
power
electronics
(Pj;nz)?
(Use
a
discharging
convention,
in
which
positive
numbers
mean
power
flowing
from
the
storage
medium
to
the
output
of
the
power
electronics,
and
negative
numbers
mean
power
flow
from
the
power
electronics
to
the
storage
medium.).
(Answer
in
kW.)
-34.11
Question
15
2
pts
If
the
power
electronics
are
discharging
at
-37.5
kW
to
the
grid,
what
is
the
power
withdrawn
from
the
storage
medium
(P,
)?
(Use
a
discharging
convention,
in
which
positive
numbers
mean
power
flowing
from
the
storage
medium
to
the
https://canvas.oregonstate.edu/courses/1883392/quizzes/2768434/take
6/18
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A Carnot engine operates between temperature limits of 1200 °K and 400 °K and using 0.4 kg of air. The
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O a. 55.9 kJ/kg
O b. 95.5 kJ/kg
O C. 95.5 kJ
O d. 55.9 kJ
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S (kj/kg-K)
8200 kPa, 400 degrees
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0.6493
10 kPa, sat. vapor
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