Friday Apr. 5, 2013
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Today's musical selection was "Sometimes"
from the Punch Brothers.
Quiz #3 has been graded and was returned in class. The
average was slightly better than the past two quizzes.
Several students did considerably better than they had on previous
quizzes.
An reasonably difficult In-class
Optional Assignment was handed out in class today. If
you weren't in class and would like to do the assignment, you can
download it and turn it in at the beginning of class next
Monday. Students in class were also given the option of
turning the assignment in next Monday.
We'll be covering a lot of topics in the next 3 weeks or so
leading up to Quiz #4: forces that cause the wind to blow the way
it does in the northern and southern hemispheres; thunderstorms,
tornadoes, and lightning; and hurricanes.
Today and Monday we will be
looking at how and why surface and upper level winds blow the
way they do.
Some real world examples of where this occurs are shown in the
figure below (found on p. 121 in the ClassNotes). The two
largest types of storm systems, middle latitude storms
(extratropical cyclones) and hurricanes (tropical cyclones),
develop around surface centers of low pressure. Winds spin
counterclockwise around cyclones (centers of low pressure) in the
northern hemisphere and clockwise in the southern hemisphere.
Winds spin clockwise around "anticyclones" (high pressure) in the
northern hemisphere and counterclockwise in the southern
hemisphere.
Why do winds blow in opposite directions around high and low
pressure. Why do the winds change directions when you move
from the northern to the southern hemisphere. These are the
kinds of questions we'll be addressing.
Storm systems in the tropics
(0 to 30 degrees latitude) generally move from east to west in
both hemispheres. At middle latitudes (30 to 60
degrees), storms move in the other direction, from west to
east. To understand why this is true we need to learn
something about the earth's global scale pressure and wind
patterns. This is a topic we will be getting into toward
the end of next week.
I've borrowed some more
carefully drawn figures below from a previous semester.
Step #1 is found on p. 122a in the ClassNotes.
Upper level winds spinning
around high and low pressure in the northern and southern
hemispheres are shown in the first set of four pictures.
The first thing to notice is that upper level winds blow
parallel to the contours. Just 2 forces, the pressure
gradient force (PGF) and the Coriolis force (CF), cause the
winds to blow this way. Eventually you will be able to
draw the directions of the forces for each of the four upper
level winds examples. Here is an example
of what you will be able to do.
The four drawings at the bottom of the page show surface
winds blowing around high and low pressure in the southern
hemisphere. These winds blow across the contour lines
slightly, always toward low pressure. The frictional
force is what causes this to occur. He is an example of
what you will be able to say about surface winds blowing
around low pressure in the southern hemisphere.
You should be able to look at an object's (or the wind's)
motion and tell if there is a net force or not. The only
time there is no net force is when something is stationary
(example (e) above) or moving in a straight line and at constant
speed (example (a) above). Here are a couple more figures
of these two kinds of situations.
The two objects above are stationary. In both cases
there is no net force. At left there aren't any forces at
all. At right, forces are present but that cancel each
other out and the total or net force is zero. With zero
net force both objects will remain stationary.
Here an object is moving in a straight line at constant
speed. For this to be true the net force must be zero in
both cases (otherwise the object would speed up, slow down, or
change direction). As long as the net force remains zero
both objects will continue to move in a straight line at
constant speed.
Another important point to take from Step #2 is that a
net inward force is needed anytime an object is moving in a
circular path even if the speed is constant. It doesn't
matter what the object is, what direction the object is moving,
or what the object is circling around.
A net inward force is needed to keep winds spinning around a
center of low pressure, an inward force is needed to keep air
moving in a circular path around high pressure, and a net inward
force (gravity) is needed to keep a satellite in a circular
orbit around the earth. It wouldn't matter what direction
the satellite is moving.
Now we'll start to look at the forces that cause the wind
to blow.
Pressure Gradient Force (PGF)
Air moving inward toward low pressure or outward away
from high pressure is similar to a rock rolling down and away from
the summit of a hill or inward toward the bottom of a
depression. The pressure gradient force always points
perpendicular to the contour lines on a map and toward low
pressure. The PGF will cause stationary air to begin to move
(it will always move toward low pressure).
Use the following figure (not shown in class) to test
yourself. With an arrow draw the direction of the PGF at
each of the points in the figure. You'll find the answers at
the end of today's notes.
Coriolis
Force
The Coriolis force is caused by
the rotation of the earth. We'll learn more about what
causes the Coriolis force next Monday. The CF points
perpendicular to the wind and can only change the wind's
direction. It can't cause the wind to speed up or slow
down. The direction of the CF depends on whether you're in
the northern or southern hemisphere.
Hurricanes don't form at the equator because there is no
Coriolis force there.
Time now to begin applying what we've learned.
We start with some stationary air at Point 1. Because the
air is stationary, there is no Coriolis force. There is a
PGF force. The PGF at Point 1 starts stationary air moving
toward the center of low pressure (just like a rock would start
to roll downhill).
Once the air starts to move, the CF causes it to turn to the
right (because this is a northern hemisphere chart). This
is happening at Point 2 (the dots show the initial motion of the
air). As the wind speeds up the CF strengthens. The
wind eventually ends up at Point 3 blowing parallel to the
contour lines and spinning in a counterclockwise
direction. Note that the inward PGF is stronger than the
outward CF. This results in a net inward force, something
that is needed anytime wind blows in a circular path.
See if you can figure out
what would happen with low pressure in the Southern
Hemisphere. This is the last example we had time for in
class.
We start again with some
stationary air at Point 1 in this figure. You'll find the
details at the end of today's notes.
Next Monday we'll look at upper level winds that blow around
high pressure in the northern and southern hemisphere (Steps 7
& 8). Then we'll look at how the frictional force
causes surface winds to blow across the contour lines toward low
pressure (Steps 9 & 10). I've put most of that online
just in case you want to take a look ahead.
Below is the answer to the earlier question about the PGF.
The green arrows show the direction of the PGF, always
perpendicular to the contours and pointing toward low pressure.
The mistake most people make is to forget to draw the PGF
perpendicular to the contours. It must be perpendicular and
point toward low pressure.
And here's how winds blow around Low pressure in the Southern
Hemisphere.