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METR 3113 (2007)
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Home page for OU's
Meteorology 3113,
Atmospheric Dynamics I
taught by Prof. Brian Fiedler bfiedler@ou.edu.
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Last modified Tuesday, 12-Aug-2008 10:40:52 MDT
News
Old news is now at the bottom of the page.
-
Exam and solutions online:
final.pdf,
fsol.pdf.
- 12/14: Final grade is online. Thanks for the
enjoyable semester!
Textbook
None! Lecture notes will be distributed.
(The syllabus is revised a bit from last year.
The end-of-semester material on pressure and buoyancy is now part of the quiz 1 and
quiz 2 material.)
Grading
There will be NO graded problem sets this year.
The final letter grade is computed from the total
score t with:
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A: t≥=80.
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B: 65.≤t< 80.
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C: 50.≤t< 65.
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D: 35.≤=t< 50.
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F: t< 35.
The total score is determined by the highest
score of the following two methods:
Conventional Method
The total score for the course is a weighted
average of these scores:
- 60%: 3 quiz scores, with the JiTT score replacing the
lowest quiz score, if it is greater.
- 35%: Final Exam
- 5%: Extra Points: (Presenting JiTT Solutions, Stand and Deliver, Dynamics Carols)
Alternative Method
The total score is based 100% on the Final Exam.
Accessing Grades and Answering JiTT Questions
Students may
check their grades and answer JiTT questions
, but they will need the class password to view the page,
and their personal password to interact with it. (Also, details about
the grading policy can be viewed in the above link). Passwords will
be distributed on 8/20.
A summary of all the graded JiTT questions,
with solutions. (usually updated within hours after the JiTT is graded)
Office Hours
Office hours will be 9:30am to 10:00am MWF in our lecture
room NWC 1350. Or you may just drop by my office, NWC 5636.
Or you may e-mail me to schedule an appointment.
Other office hours are online, the night before class:
Sunday, Tuesday and Thursday at 9:30 pm.
The subject of the online
office hours is usually the JiTT questions, the answers to which are due by 8:00 AM the
following morning. The "office hours" are in the chat room available for this course
at learn.ou.edu, (use the password
given to you by OU).
Goal statement
The goal of METR 3113 is to develop the student's abilities
in using knowledge of the fundamental forces in the atmosphere:
the pressure gradient force, gravity and the Coriolis force.
Analysis of atmospheric motion caused by these forces is done
without recourse to the analysis of continuous vector
fields. This means vector calculus is minimally employed.
Aspects of fluid mechanics, for example changes in the pressure field
resulting from "colliding parcels", is reserved for later courses.
Course Content
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Units, dimensional homogeneity and dimensional analysis.
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Vectors and rotational invariance. Vector products.
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Elementary functions and elementary differential equations.
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Newton's law of gravity.
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Newton's laws of motion.
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The equation of motion in one-dimension and its solution. Conservation of energy.
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Pressure. The pressure gradient force. The buoyancy force.
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The vector equation of motion.
Coordinate systems, Cartesian and polar.
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Centripetal acceleration. Conservation of angular momentum.
Cyclostrophic wind balance. Tornadoes.
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Inertial forces in accelerating reference frames.
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An equation of motion for meteorology. The Coriolis force.
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The tidal force.
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The gradient wind.
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Conservation of angular momentum with the Coriolis force.
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The thermal wind.
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An introduction to continuum mechanics. Simple
forms of the continuity equation. More about
pressure and buoyancy. Bernoulli equation.
Important Dates for Graded Items
- 9/24: Quiz #1
- 10/22: Quiz #2
- 11/19: Quiz #3
- 12/11: Final Exam, 8am-10am
Students are NOT required to work alone on
the JiTT problems. It is not realistic to enforce that; only
the honest people would suffer. So share the joy of your
scientific and analytic inquiry with your peers!
Obviously, quizzes and exams must be solely your own work,
and they are proctored rather carefully. No calculators
are allowed in quizzes or exams.
Physlets
Java-animated demonstrations of some physics is found at my
physlets page.
(Some of these are used in problem sets or JiTTs).
Links to Lecture Summaries
Summaries of lectures (in pdf files) will be linked here.
A draft may appear before the lecture is presented.
A final version will appear after the lecture is presented.
| date presented | file | subject | date uploaded |
| Monday, August 20 |
08_20.pdf |
Equations, Units and Dimensions |
September 09 22:03 Z |
| Wednesday, August 22 |
08_22.pdf |
The Dimension Extractor |
September 09 22:04 Z |
| Friday, August 24 |
08_24.pdf |
Dimensional Inhomogeneity: Filtering Out Nonsensical Equations |
September 09 22:04 Z |
| Monday, August 27 |
08_27.pdf |
Why Vectors are Useful |
September 09 22:05 Z |
| Wednesday, August 29 |
08_29.pdf |
The Dot Product and Cross Product |
September 09 22:06 Z |
| Friday, August 31 |
08_31.pdf |
Vector Identities |
September 09 22:06 Z |
| Wednesday, September 5 |
09_05.pdf |
The Exponential Function |
September 09 22:06 Z |
| Friday, September 7 |
09_07.pdf |
The Trig Functions Revisited |
September 09 22:09 Z |
| Monday, September 10 |
09_10.pdf |
Review of Basic Newtonian Physics |
September 10 18:08 Z |
| Wednesday, September 12 |
09_12.pdf |
Newtons's Law of Gravity |
September 12 19:23 Z |
| Friday, September 14 |
09_14.pdf |
Equation of Motion in 1-D |
September 14 21:46 Z |
| Monday, September 17 |
09_17.pdf |
More Equation of Motion in 1-D |
September 17 18:29 Z |
| Wednesday, September 19 |
09_19.pdf |
Pressure |
September 19 16:21 Z |
| Friday, September 21 |
09_21.pdf |
Stand and Deliver 2 |
September 21 16:35 Z |
| Wednesday, September 26 |
09_26.pdf |
Pressure, the Great Communicator |
September 28 14:26 Z |
| Friday, September 28 |
09_28.pdf |
Buoyancy |
September 28 18:03 Z |
| Monday, October 1 |
10_01.pdf |
Buoyancy Driven Motion |
October 01 16:30 Z |
| Wednesday, October 3 |
10_03.pdf |
Choosing A Coordinate System |
October 03 16:32 Z |
| Monday, October 8 |
10_08.pdf |
Dynamics in Polar Coordinates |
October 08 16:13 Z |
| Wednesday, October 10 |
10_10.pdf |
Noninertial Reference Frames |
October 10 16:43 Z |
| Friday, October 12 |
10_12.pdf |
Rotating Reference Frames |
October 15 16:16 Z |
| Monday, October 15 |
10_15.pdf |
More Rotating Reference Frames |
October 15 16:39 Z |
| Wednesday, October 17 |
10_17.pdf |
The Coriolis Force for Meteorology |
October 17 17:08 Z |
| Friday, October 19 |
10_19.pdf |
A physical explanation for the Coriolis Force |
October 19 20:30 Z |
| Wednesday, October 24 |
10_24.pdf |
More About the Pressure Gradient Force |
October 25 22:24 Z |
| Friday, October 26 |
10_26.pdf |
The Tidal Force |
October 26 16:48 Z |
| Monday, October 29 |
10_29.pdf |
The Gradient Wind |
October 30 16:14 Z |
| Wednesday, October 31 |
10_31.pdf |
More About The Gradient Wind |
October 31 17:20 Z |
| Friday, November 2 |
11_02.pdf |
More About The 2-d Equation of Motion |
November 05 03:55 Z |
| Monday, November 5 |
11_05.pdf |
The Continuity Equation and the Venturi Tube |
November 07 00:41 Z |
| Wednesday, November 7 |
11_07.pdf |
Introduction to Vorticity |
November 08 21:31 Z |
| Friday, November 9 |
11_09.pdf |
Vorticity with the Coriolis Force |
November 09 17:28 Z |
| Monday, November 26 |
11_26.pdf |
Introduction to the Thermal Wind |
November 26 17:28 Z |
| Wednesday, November 28 |
11_28.pdf |
Draft: Veering and Backing of Wind with Height |
November 27 23:15 Z |
Links to Problem Sets, Quizzes, Solutions, etc.
- 3113syl.pdf, the paper syllabus (redundant with this page)
- numval.pdf, useful numerical values and unit
conversions
- prac1.pdf, Practice Problems For Quiz #1
- q1.pdf, Quiz #1
- q1sol.pdf, Quiz #1 Solutions
- prac2.pdf, Practice Problems For Quiz #2
- q2.pdf, Quiz #2
- q2sol.pdf, Quiz #2 Solutions
- prac3.pdf, Practice Problems For Quiz #3
- q3.pdf, Quiz #3
- q3sol.pdf, Quiz #3 Solutions
- final.pdf, final exam
- fsol.pdf, solutions to the final exam
Useful external links
Old news
- 12/08: I just noticed this in my inbox:
Fall_Finals_week_bad_weather.pdf. I live close to the NWC.
I will be offering a final exam to all those who are willing
and able to travel to the NWC for the scheduled exam of 8am Tuesday.
But if the University is closed, do not attempt to take the exam
at the scheduled exam time if you feel your travel would be unsafe.
An alternative exam will be offered at a later time.
- 12/08:
Any postponement of the final exam can only be done at
at the top levels of the University. I have been told you will see an
announcement at http://www.ou.edu, if any
postponement occurs. If I see an announcement there, I will also mirror an announcement
here, but your best source for information will be the OU home page.
- 12/02:
More about the songfest this coming Wednesday and Friday: Your song should be about
atmospheric dynamics, but you are also welcome to interject your personal feelings
or experiences about dynamics. You may sing solo or in groups...but the standards
for excellence in groups is higher.
For those of you needing some inspiration for
the song fest, grab the sample:samplesong.pdf.
To receive your credit, be prepared to submit a typed copy of your lyrics with the
names of the performers also printed on it. Some of you already mentioned your preferences
for performance day, but please state your preference via email, to avoid any mistakes on my part.
- 11/29: On Friday and Monday I will be doing live the
Top Ten (Fifteen?) Derivation Countdown. Next Wednesday and
Friday we will have our dynamics songfest. Please schedule your
songfest day with me.
- 11/27:
A few practice problems about the thermal wind
Practice Problems for Thermal Wind Questions.
- 11/25:
We will be studying the themal wind on 11/26 and 11/28. Here are some
links that might be useful:
- 11/21:
Quiz #3 results are now online.
Quiz 3 and Quiz 3 Solutions
are now available for download.
- 11/14:
Alternate Quiz 3 is available for your perusal.
(I'll say it again: Monday's quiz will not be identical).
- 11/13: Tomorrow, Wednesday 11/14, an Alternate Quiz #3 will be offered
during our normal lecture time. There will be no choice amongst the
questions. If you turn your answers in, then your Quiz #3 grade will be based on
your score on this Alternate Quiz: you will not be eligible to take the quiz on Monday.
All students are welcome to attempt the Alternate Quiz and punt if need be (i.e. take your
answers and quiz with you). The Alternate Quiz #3 questions will be available online for
everbody, by Wednesday noon. I am astonished how many times I need to repeat this:
the questions for Quiz #3 on Monday will be distinct from those in the Alternate Quiz #3,
any overlap will be coincidental.
Typo fixed in problem 19 inPractice Problems for Quiz 3.
- 11/09: Generation of relative vorticity by stretching planetary vorticity -OR -
contraction of rings of air into a cyclone:
animation of infrared satellite images.
As promised, you will get your money's worth in this course: another edition of
Practice Problems for Quiz 3 is now available.
There are now 24 problems. Please send me requests for Practice Problems
for which you would like to see a solution presented in class next week.
- 11/06: Here is a provisional list of the 4 topics for Quiz 3 on Monday, 11/19.
As on the last quiz, you will likely have a choice of questions within each topic:
- PGF and the slopes of pressure surfaces; the f-plane approximation and
conservation of angular momentum on the f-plane
- tidal force
- gradient wind
- continuity eqaution, venturi tube; continuum analysis of of simple 2-d flows
(divergence, vorticity, pressure).
Yet another edition of the
Practice Problems for Quiz 3 is now available.
There are now 20 problems.
Note that problem 14 (about the thermal wind) is now marked as postponed.
- 11/05: If anybody needs to take Quiz 3 early, for example on
Wednesday November 14, please let your request be known to me. If an early
quiz is offered, there will be no choice in the selection of questions and it
will likely be harder than the standard Quiz 3, which will occur as planned on
November 19.
- 11/05: From Wikipedia: Coanda Effect,
Magnus Effect
- 11/03: Best of YouTube: Secondary Flow
- 10/31: From the wikipedia: Canon.
- 10/30:
Practice Problems for Quiz 3 now has a problem 16,
which should be "doable" by you at this time.
- 10/27:
Practice Problems for Quiz 3.
Problems 1 thru 8 should be "attemptable" by you at this point in time.
- 10/25: A few links about atmospheric tides:
The
lunar atmospheric tide is purely gravitational, and its
magnitude is something we can estimate with minimal theory. The
solar tide is driven more by heating, and as a consequence
is larger than the lunar tide. But with
the theoretical tools we have in 3113, we can not model it well.
I offer the following for the curious:
What if the Moon Didn't Exist?.
The basics:
Ocean Tides.
Don't miss this! Tides in measurements of atmospheric surface pressure:
Dr. Jeff Masters' WunderBlog.
- 10/24:
From the wikipedia: Tidal Force.
- 10/22:
Quiz 2 and Quiz 2 Solutions
are now available for download.
- 10/19: For laughs:cockroach physics.
- 10/18: Updated with new problems 16, 17 and 18:
Practice Problems for Quiz 2.
The Quiz Monday will cover:
- Pressure
- Buoyancy
- Dynamics in Cartesian and polar coordinates
- Accelerating reference frames, the Coriolis force, the Centrifugal force
- 10/13: Updated with a few more problems:
Practice Problems for Quiz 2.
- 10/12: Bad Coriolis
is a good read.
- 10/2: For an online lecture showing the classical pictorial
presentation of the dynamics of circular motion, visit
Physclips and click on
circular motion. Provides some beneficial multicultural stimulation!
- 10/1: JiTT 10_03_a had to be revised. Have another try if the current
version is not the version you attempted.
- 9/30: Practice Problems for Quiz 2.
Also, from 2006: q2.pdf
and q2sol.pdf.
- 9/28: Reading for Monday:
The simplest (and maybe all you need):
Convective Available Potential Energy (CAPE).
The local effort:
Capabilities of Thermodynamic and Kinematic Severe Weather Parameters. And from the wikipedia:
Convective available potential energy.
And now that you have the basics, here is a recent application of CAPE:
The Greensburg Tornado Environment on 4 May 2007 .
From youtube:
Cloud Time lapse.
- 9/26:Buoyancy,
from the wikipedia.
- 9/25: Quiz #1 grades are now online. Solutions:
q1sol.pdf.
Quiz: q1.pdf.
- 9/24: Pascal has left us a legacy greater than just lending his name to
the S.I. pressure unit. Here is what he had to say about
the human condition.
- 9/23: Late-breaking typo refix in:
prac1.pdf. (Clear your cache to ensure you grab the latest.)
Or cross-out both m in (13) of your previous copy.
In tomorrow's quiz, you will have choice somewhat similar to the 2006 quiz #1.
For 2007, there is 1 required question for dimensional analysis, and
a choice of 1 of 2 questions in vectors, equation of motion, and Newtonian physics.
Thus, you answer 4 out of 7 questions, subject to above constraint of one
per category.
- 9/21:
If you are interested:
Some elementary facts about drag coefficients. Also, the drag coefficient for a sphere
of 0.1 is about the lowest possible, with just the right sort of turbulent
boundary layers:
Drag of Blunt and Streamlined Bodies. If we had used a drag coefficient of .4,
the recalculated α would be much closer to what we used earlier for α.
- 9/19: Stand and Deliver
- 9/18:
Reading from the wikipedia for 9/19 lecture:
Pressure.
Kinetic
theory of pressure.
- 9/17: Now amended:
prac1.pdf, Practice Problems For Quiz #1.
Equation (13) had a typo fixed, and one more problem has been added.
Quiz #1 on Monday September 24 will include material up through
today's lecture.
- 9/12:
I suggest you read
Newton and Enlightened Science.
Links for the basic astronomy that was in today's lecture:
Lunar Parallax and
Hipparchus, parallax with an eclipse The distance to the moon.
9/11: Some reading for you in the Wikipedia:
Centripetal force.
9/9: Save your ink and paper! All lecture summaries are now
uploaded with 4 slides per page. Let me know if that format is better
for you.
9/8: Some weekend reading:
Newtons's Laws of Motion
from the Wikipedia. If my comments about implicit assumptions in trigonometry applied to
triangles tweaked your interest, you may want to see
Euclidean Geometry,
or for a laugh brainwashing.
I probably should have put these links up earlier:
9/4: Now available:
prac1.pdf, Practice Problems For Quiz #1
9/1: JiTTs are now available for Wednesday, September 5
8/31: Contrary to what I said in class, there will be
NO JiTTs due Monday, September 3!
8/27: This guy thinks like I do about vector
pedagogy:
Re: teaching vectors
8/23: Some of you wanted another reference for dimensional
analysis. Here is a
57 page document from MIT.
8/22: JiTT 08_24_a and 08_24_b had some typos earlier this evening.
Should be fixed now. Thanks to those who informed me.
8/21: I will need a volunteer to present the correct answer to
08_22_b tomorrow in class. Check after 8 am to be sure you have
the correct answer. In the case of multiple volunteers, the volunteer
with the last digit in the 4+4 closest to the last digit in the date (i.e. 22) will
be chosen. If that method produces a tie, the second to last digits will
be compared. (Digits are ranked cyclically ... 9 is 1 away from 0).
8/20: Class begins today. Lectures are MWF 10:00 to 10:50 in the
new National Weather Center building, room 1350. (Northwest corner
of the first floor). For Wednesday, you may want to read the first
section of
Dimensional Analysis. Be sure to answer the JiTT questions 08_22_a
and 08_22_b by 8 am Wednesday morning. Your personal and class password will be
distributed in class today. If you did not receive your
passwords (or if you lost it, etc.) email me at bfiedler@ou.edu .
Hopefully, you already are experts at:
Conversion of Units.
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