Metr 201 (502) Final Exam Name: Solution
December 8, 2000
20 questions, equally weighted, 2 hours
1) The plot below shows how temperature (red line) and dew point (green line) varied over Oakland, CA yesterday. On this plot, temperature and dew point increase towards the right on the x (horizontal) axis. The y (vertical) axis is just pressure, which you can think of as height since pressure decreases with height. As a reference, a pressure of 500 mbar corresponds to a height of about 5 km. At about what pressure is the tropopause (division between the troposphere and stratosphere) found? (hint: Think of this as just one of the temperature profile plots used in your text to describe the different layers of the atmosphere). Also, at about what pressure would you expect to find clouds?


Temperature decreases with height in the troposphere and
increases with height in the stratosphere.
You probably remember that the division between these two layers is at
about 11 km. Since this problem gives
you pressure rather than height, it forces you to use the temperature profile
to determine where the tropopause is.
The reference height (5 km) was given just so you would know that the
tropopause should be higher in the atmosphere than 500 mbar (assuming you remembered
it was around 11 km). From the figure,
you can see that the transition from a positive lapse rate to a negative lapse
rate occurs at about 220 mbar, and this is where the tropopause is.
The second part of the question simply required that you remember
that clouds form when temperature is equal to dew point. From the curves on the figure it is clear
that this occurs at around 650 mbar.
2) Now that we have made it to winter, you probably have a better appreciation for what radiational cooling is. Explain how cloud cover and wind speed impact the temperature near the ground at night (i.e., how they affect radiational cooling).
Radiational
cooling occurs because the Earth emits radiation more efficiently than the
atmosphere, so it cools faster. When this
happens, the cold Earth cools down the air closest to the ground. When clouds are present that absorb some of
the radiation emitted by the Earth and re-radiate it back to the ground. This keeps the ground warmer than it would
be were the sky clear, which reduces radiational cooling. Wind doesn’t influence the emission of
radiation by the surface, but it does mix the cold layer of air nearest the
ground with warmer air above, which limits the effect of radiational cooling.
3) How is it that the water vapor pressure near the poles is much less than that near the equator, but the relative humidity is almost the same?
Relative humidity describes the amount of water in the air relative to the
maximum amount the air can hold. In
other words, it describes how close the air is to saturation. Since warm air can hold much more water
vapor than cold air, the water vapor pressure near the cold poles can be much
lower than at the warm equator and still result in the same relative humidity.
4) The figure below was taken straight from your text. Label each of the cloud types indicated by letters:
a) cirrocumulus
b) cirrostratus
c) cirrus
d) altocumulus
e) altostratus
f) nimbostratus
g) stratus
h) stratocumulus
i) fair
weather cumulus
j) cumulonimbus
5) Assume that the dew point of the air over College Station remains constant on a summer day. The figure below shows how temperature varies during this summer day. Add to this figure a curve that represents how you would expect relative humidity to change.
As
discussed above, relative humidity describes the amount of water vapor in the
air relative to the amount of water vapor the air can hold. In this case, the amount of water vapor
stays the same (since the dew point is constant), but the amount of water vapor
the air can hold increases during the day as the temperature increases. So the relative humidity will be highest at
the coldest time of the day, and lowest at the warmest time of the day.
6) As an unsaturated air parcel rises in the atmosphere, how does the dew point of the air inside the parcel change?
As an
unsaturated air parcel rises in the atmosphere both its pressure and
temperature decrease. Since dew point
only describes how much water vapor is in the air, it only varies with
temperature when the air is saturated, which is not the case here. However, as the pressure of the air parcel
changes, so does the water vapor pressure.
With a rising parcel this means that water vapor pressure decreases,
which means that dew point also decreases.
You might recall that in general the rate of this decrease is about 2 oC/km,
which is significantly lower than either the dry or moist adiabatic lapse
rates.
7) Name four types of frozen precipitation, and for each indicate whether you would expect the air temperature near the ground to be above or below freezing.
The
most common types and expected ground level temperature are:
Snow – below freezing
Freezing rain – below freezing
Hail – above freezing
8) Why don’t winds close to the surface always move parallel to the isobars?
Far
above the surface, winds move parallel to isobars since there is a balance
between the pressure gradient force in one direction and the Coriolis force in
the other. Near the ground, friction
also influences the wind, which acts to slow it down. When this happens, the Coriolis force decreases since it is
directly related to wind speed. So now
the pressure gradient force is larger than the Coriolis force, so the winds no
longer move parallel to the isobars, but instead cross them at some angle that
depends on how strong the frictional force is.
9) Rank the following temperatures from coldest to hottest: 230 oF, 230 oC, 230 K
I
intended these values to be obvious enough so that you wouldn’t have to
calculate the values, but in case you did:
oC = K – 273 →
230 K = (230 – 273) oC = -43 oC
oC = (oF – 32)*5/9 → 230 oF = (230
– 32)*5/9 = 110 oC
(you
probably could have gotten close to this by just remembering that water boils
at 100 oC or 212 oF)
So –43
< 110 < 230 oC or 230
K < 230 oF < 230 oC
10) Say the atmospheric environmental lapse rate just before sunrise is exactly equal to the dry adiabatic lapse rate. Then as the day goes on, the temperature of the air well above the surface stays the same, while the temperature of the air just above the ground heats up. When this occurs, will the atmosphere be absolutely stable, absolutely unstable, or conditionally unstable?
If the
environmental lapse rate is greater than the dry adiabatic lapse rate, the
atmosphere is absolutely unstable.
If the
environmental lapse rate is less than the moist adiabatic lapse rate, the
atmosphere is absolutely stable.
If the
environmental lapse rate is in between the dry adiabatic and moist adiabatic
lapse rates, the atmosphere is conditionally unstable.
In this case, the environmental
lapse rate was initially the same as the dry adiabatic lapse rate. Then the lower part of the atmosphere was
warmed while the upper part remained at the same temperature. When this happens the rate of temperature
change between the bottom of the atmosphere and the top (environmental lapse
rate) has to increase. So, regardless
of how much the environmental lapse rate increases, it must be greater than the
dry adiabatic lapse rate since that’s what it initially was. Therefore, the atmosphere becomes absolutely
unstable.
11) The “heat-island” effect describes a thermal circulation pattern that results when the air temperature over a city is higher than surrounding areas. When this type of circulation pattern occurs, would you expect to have convergence or divergence over the city?
Similar to the other
thermal circulations we discussed such as sea breezes, the surface wind will
blow from cool regions to warm regions (sea to land in the case of a sea
breeze). For this, the city is warm and
the surrounding regions are cool, so the winds blow in towards the city. Since these winds will come from all
directions, they must converge over the city.
So the answer is “convergence”.
12) When is the ocean temperature off the coast of Peru warmer – during an El Niño period or a La Niña period? What causes the change in ocean temperature between the two?
During
El Niño periods, prevailing winds over the equatorial Pacific switch direction,
which “shuts off” the upwelling that typically occurs near the coast of Peru. Since upwelling brings cold water to the
surface, El Niño is associated with warmer than usual sea surface temperatures.
13) On the outline of the Earth below, draw arrows showing the prevailing surface wind directions.

14) If you are in a plane in the Northern hemisphere, flying towards the southeast, which direction is the Coriolis force “pushing” you?
In the
Northern hemisphere, the Coriolis force always “pushes” towards the right. From the diagram below, if you are traveling
towards the southeast and are pushed to the right, you are being pushed towards
the southwest.

15) Describe the temperature and moisture characteristics of each of the four types of air masses discussed in class and in the text.
Continental
polar (cP) – Cold, dry
Continental
tropical (cT) – Hot, dry
Maritime
polar (mP) – Cool, moist
Maritime
tropical (mT) – Warm, moist
16) Draw a middle latitude cyclone as it would be shown on a weather map (i.e., show the fronts with arrows, semicircles,… and show where the low pressure region is) just after the cold front catches the warm front (i.e., just after the front becomes occluded). Obviously you don’t have to worry about the red, blue, and purple colors usually used.

17) Approximately how long do each of the following weather phenomena last?
·
Ordinary (air mass) thunderstorm ~ 1 hr
·
Tornado Few minutes to an hour
·
Hurricane Few days to more than a week
·
Lightning Less than a second
·
Middle latitude cyclone Few days
·
Bermuda high Always there
18) If a tornado is moving towards the north, on which side (i.e., east, west, north, or south) would you expect to find the highest wind speed (hint: think about which way the tornado is rotating).
The
region where overall wind speed will be the greatest is where the winds due to
rotation around the center of the tornado are in the same direction as the
winds due to the general motion of the tornado itself (in this case towards the
north). In the figure below, the red
arrows represent the wind speed and direction resulting from the rotation of
the tornado and the green arrows represent the wind speed and rotation due to
the overall movement of the system.
From this figure it is clear that the two winds add to one another on
the east side of the tornado.

19)
S
Is air rising or sinking within the eye of a hurricane? How about in the eye wall?
The
reason the eye is clear is that air is sinking there. On the other hand, the reason the heaviest precipitation is found
in the eye wall is that the air is rising there.
20) Discuss the two primary factors that lead to a storm surge (raised sea level) as a hurricane approaches land.
1. The low pressure that causes rotation of the hurricane also
acts almost like a straw by pulling up on the water below it. This causes the sea level to rise about 1 cm
per mbar of pressure drop (about a half meter for strong hurricanes and up to a
meter for the most intense).
2. As a hurricane approaches the East coast of the U.S., the
wind direction nearest land is southerly.
You might recall that the overall motion of the upper 100 or so meters
of the ocean is in a direction 90o to the right of the surface wind
direction. Therefore, the water along
the East coast is pushed towards the west, or towards land. This causes the water to “pile up” along the
shore, further raising sea level. This
situation is the same regardless of whether the hurricane is approaching the
East coast, the West coast, or the Gulf coast.