Thursday Sep. 10, 2009
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A couple of songs ( "Stairway to Heaven" and "Diablo Rojo" )
from Rodrigo y
Gabriela before class today. A local group, Calexico, will be
featured next week, all week.
The first of this semester's 1S1P Assignments
is now online. The Bonus Report is due next Thursday, Sep.
17. If you decide to do a report on Topic #1 or #2 (or both),
those reports are due on Tue., Sep 29.
So far
this semester we have learned about the composition of the atmosphere
and about some of the main air pollutants. Today we will start
looking
at how atmospheric characteristics such
as
air temperature, air pressure, and air density change with
altitude. In the case of air pressure we first need to understand
what pressure is and why it changes as you move vertically through the
atmosphere.
An iron bar was passed around at the
beginning of class. You were supposed to guess how much it
weighed.
We came back to this later in the period.
A pair of bottles, one containing water and the other
an equal volume of mercury, were also passed around in class. Feel the
difference in the weights of the two bottles. Mercury is much
denser than water.
Before we can learn about
atmospheric pressure, we
need to review
the terms mass and weight. In some textbooks you'll find mass
defined as "amount of stuff" or "amount of a particular
material." Other books will define mass as
inertia or as resistance to change in motion (this comes from Newton's
2nd law of motion, we'll cover that later in the semester). The
next picture
illustrates both these definitions. A Cadillac and a volkswagen
have both stalled in an intersection. Both cars are made of
steel. The Cadillac is larger and has more steel, more stuff,
more mass. The Cadillac is also much harder to get moving than
the VW, it has
a larger inertia (it would also be harder to slow down once it is
moving).
Differences in volumes account for the differences in mass in the
example above. It is possible to have two objects with the
same
volume but very
different masses. The bottles of water and mercury that were
passed around class were an example (thanks for being so
careful
with the mercury).
Weight
is a force and depends on
both the mass of an object and the
strength of gravity. We tend to use
weight and mass
interchangeably
because we spend all our
lives on earth where gravity never changes.
On the earth where the pull of gravity never changes, any three objects
that all have the same mass
(even if they had different volumes and were made of different
materials) would always have the same weight. Conversely:
When gravity is always the
same, three
objects with the
same weight
would also have the same mass.
The difference between mass and weight is clearer
(perhaps) if you
compare the situation on the earth and on the moon.
If you
carry an object
from the
earth to the moon, the mass
remains the
same (it's the same object, the same amount of stuff) but the weight
changes because gravity on the moon is weaker than on the earth.
In
the first example there is more mass (more dots) in the right box than
in the left box. Since the two volumes are equal the box at right
has higher density. Equal masses are squeezed into different
volumes in the bottom example. The box with smaller volume has
higher density.
The air
that
surrounds the earth has mass. Gravity pulls downward on the
atmosphere giving it weight. Galileo conducted (in the 1600s) a
simple
experiment to prove that air has weight. That experiment wasn't mentioned in
class.
Pressure is defined as force divided by area. Air
pressure is the
weight
of the atmosphere overhead divided by the area the air is resting
on.
Atmospheric pressure is
determined by and tells you something about the weight of the air
overhead. This is one way, a sort of large scale representation,
of understanding air pressure.
Under normal conditions a 1 inch by 1 inch column of air
stretching
from sea level to the top of the atmosphere will weigh 14.7
pounds. Normal
atmospheric
pressure at sea level
is 14.7 pounds per square inch (psi, the units you use when you fill up
your car or bike tires with air).
Now here's where the steel bar
comes in. The steel bar also weighs exactly 14.7 pounds (many
people think it is heavier than that). Steel is a lot denser
than air, so a steel bar only needs to be
52 inches tall to have the same weight as an air column that is 100
miles or more tall.
Here are some of the other commonly used pressure
units.
Typical sea level
pressure is 14.7 psi or about 1000 millibars
(the
units used by meterologists and the units that we will use in this
class most of the time) or about 30 inches of mercury (refers to
the reading on a mercury barometer). If you ever find
yourself in France needing to fill your
automobile tires with air (I lived in France for a while and owned
a Peugeot
404)
remember that the air compressor scale is
probably calibrated in bars. 2 bars of pressure would be
equivalent to 30 psi.
The word "bar" basically means
pressure and is used in a lot of meteorological terms.
And that's as far as we got in class on Thursday. The remainder
of the period was devoted to the Practice Quiz.