Archive for October, 2008

Comparing Fahrenheit and Celsius Temperatures

Wednesday, October 22nd, 2008

I try to write this blog to inform, rather than to express opinion, but I have to admit that I love the metric system. Perhaps it’s because I still remember how hard it was to learn how to convert things from one set of units to another in the British system we still follow here in the United States. Ounces to pounds, feet to yards to rods, square feet to square yards to acres. And so on. While in the metric system, it’s often simply a question of multiplying or dividing by 10, 100, and so on.

So, when my children were little, I taught them to think in metric, at least for some units. I succeeded with centimeters and inches, but kilometers and miles were harder, and temperature was the hardest of all. So today I’m writing about temperature.

In using the two sets of units, it’s useful to have some mileposts (kilometer-posts?). For example:

  • 0 degrees Celsius (or 32 degrees Fahrenheit), the temperature at which water freezes

and

  • 100 degrees Celsius (or 212 degrees Fahrenheit), the temperature at which water boils at sea-level pressure (about 1013 millibars).

But there are some other “kilometer-posts:”

  • – 40 degrees Celsius, where Fahrenheit and Celsius degrees are the same

And human body temperature:

  • 37 degrees Celsius or around 98.6 degrees Fahrenheit.

And “comfortable” room temperature:

  • 20 degrees Celsius or 68 degrees Fahrenheit

And, my favorite one:

  • 10 degrees Celsius (or 50 degrees Fahrenheit), above which insects become active.

Since this my favorite milepost and this might not be familiar to you, I’ll fill you in on some details.

When I did my cricket blog, I couldn’t get any data points below about 10 degrees Celsius, because the crickets weren’t chirping. You can see this from the graph in Figure 1. Well, that’s not quite true. The thermometer temperature showed below 10 degrees Celsius when I heard crickets once, but the cricket was “reporting” a temperature above 10 degrees Celsius with his chirps. Not really surprising — the temperature varies a lot from place to place at night, when you hear crickets chirp. In fact, before dawn on 6 October 2008 I heard a cricket when the thermometer temperature measured 46 degrees Fahrenheit (~8 degrees Celsius), but I didn’t count the chirps.

figure_1_fvsc.JPG

Figure 1. Using Crickets to estimate temperature. Notice the lack of data for temperature below 10 degrees Celsius. From cricket blog at http://www.globe.gov.

I knew about this temperature cut-off before observing crickets, from radar meteorologists. They see strong “clear-air” echoes when insects are flying. Figure 2 shows an example of insect echoes from a downward-looking radar used for research. The radar was mounted on a King-Air aircraft operated by the University of Wyoming. The data were collected while flying along a north-south track. So this is a north-south “picture” of insect plumes. It was 29 May 2002, and the air was quite warm — with temperatures well above 10 degrees Celsius.

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Figure 2. Wyoming Cloud Radar image of “insect plumes” rising from the ground. 29 May 2002, on a north-south track over the Oklahoma panhandle (about 106 degrees West longitude). AGL means “above ground level.” Figure from Dr. Bart Geerts at the University of Wyoming.

Dr. Bart Geerts and his then graduate student Dr. Qun Miao found that the air was moving upward in the red and orange insect plumes, and that the air was moving down between them. They could see this because there were instruments on the King Air measuring the up-and-down air movement. I could feel the motion while I was on the plane: the airplane would get carried up when we crossed the “red” areas, and down in between. It was very “bumpy” where there were a lot of insect plumes.

You might think that the insects should be everywhere — after all, wouldn’t the insects be carried up by the upward-moving air and then back downward by the air between? Geerts and Miao found that the insects fly down in the updrafts, working hard to stay near the ground. This keeps the insects mainly in the rising air. Geerts and Miao even found that they could “measure” the updrafts and downdrafts by the radar alone by subtracting out the insect speed.

Here is another example of insect echoes, taken from weather radar in the southeast United States. The west-northwest to east-southeast-oriented light and darker blue patches are probably the “clear-air” (insect) echoes or small clouds; the yellows and reds are probably small rain showers.

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Figure 3. Fair-weather echoes over southeast Georgia and Northern Florida in the SW United States.

Let’s summarize all these data in a table and a plot. First, the data. Plot this yourself, and see if you can think of any more “mileposts.” Or do some research to find some interesting temperatures, like the record high or record low temperature where you live. Or look at the FLEXE web site to see how hot it is near hydrothermal vents at the bottom of the ocean. You can use the graph to convert to the other units, or use the formula to convert back and forth (at the end of this blog).

Temperatures in Celsius and Fahrenheit

Degrees
Fahrenheit
Degrees
Celsius
Comments
-40.0 -40.0 Temperatures the same
32.0 0.0 Freezing point of water
50.0 10.0 Insects become active
68.0 20.0 Room temperature
98.6 37.0 Healthy human temperature measured by mouth
212.0 100.0 Boiling temperature for water at sea level pressure

figure-4_fvc.JPG

Figure 4. “Milestone” temperatures, in Fahrenheit and Celsius.

Methods of converting

You can use the table to make sure you are doing it right.

To convert Fahrenheit to Celsius:

Subtract 32 (notice you are subtracting Fahrenheit from Fahrenheit)
Then multiply by 5/9.

Or, if you prefer a formula, C = (F-32) x 5/9, where F is the Fahrenheit temperature and C is the Celsius temperature.

To convert Celsius to Fahrenheit:

Multiply by 1.8
Add 32
Or, in a formula: F = 1.8C + 32

What Causes Hurricane Damage?

Wednesday, October 8th, 2008

Since we’ve had another bad hurricane season for the United States and the islands in the Caribbean, this topic seemed timely.

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Figure 1. Hurricane Ike over Western Cuba 9 September 14:45 UTC as seen from space. Source http://www.ssd.noaa.gov/goes/flt/t4/vis-l.jpg. Ike later hit Galveston, Texas, and points northeast, causing widespread damage.

Tropical Cyclones in the United States are classified according to their wind speeds. For instance, a “Category 1″ (or Cat 1, for short) is a storm with sustained winds of 119-164 kilometers per hour (74-95 miles per hour). Yet a lot of the damage due to tropical cyclones is due to the heavy rain and storm surge as well.

What is a storm surge?

Put simply, the storm surge is the water that is blown onto the land by the wind. If you’ve watched the water level on the beach – even of a lake – you will see that the water reaches higher up the shore with onshore winds. I’ve seen this on Lake Michigan. You can make your own storm surge. Simply fill a shallow bowl or small cake pan with water, and blow across the surface of the water. The water on the opposite side of the dish becomes higher when you blow on it. (If you want to get fancy, you can even put a beach on the opposite side of the dish and see how hard you have to blow to cover it up with water. Maybe you can even get a friend to help.)

Storm surges are worse when the tides are high, because there is more water to work with. It’s like filling up your shallow bowl a little bit more.

Wind Damage.

The force due to wind increase as the square of the wind speed (wind speed times wind speed). So a 4 meter-per-second wind (8 miles per hour) will exert 16 times as much force on a tree, house, or you compared to a 1-meter-per-second wind. I’m told that the damage from a hurricane is a function of the “work” done by the wind – and that goes as the cube of the wind speed. In this case, a 4 meter-per-second wind will cause 64 times as much damage as a 1 meter-per-second wind. Again – this is just a rough estimate. The way the wind behaves – its steadiness or gustiness and its direction relative to a structure – will also affect damage patterns.

You can get a pretty good idea of the wind speed – at least for lighter winds – by watching the effects of wind on trees, smoke, and other things. Those of you interested in trying this should go to http://www.ncdc.noaa.gov/oa/climate/conversion//beaufortland.html to get a complete chart.

The force also increases with the density of the air. One thing I was curious about was whether the rainfall also helped to push you (or a building) over in stronger winds. It turns out that the extra force due to the rain is not very big. The largest rainfall rate I could find was 304.8 mm in 42 minutes (Locatelli and Hobbs, Weather and Forecasting, 2005), and that is equivalent to about 15.1 grams of water in a cubic meter of air. Since air has a mass of about 1.2 kilograms per cubic meter, the raindrops increase the density by around 1.2 per cent. Not much at all!

Of course rainfall may have other effects, like weakening some structures or changing the way they interact with the wind.

Water Damage

Rain also leads to flooding. Slow-moving tropical cyclones like Hurricane Fay, which recently hit Florida, can dump lots of water onto land, creating widespread flooding. Rainfall totals from Fay reached around 700 millimeters in a few days.

Tornado Damage

If you want to make a tornado, you need to have (1) “unstable” air – (This simply means that the temperature and humidity of the air make it easy for strong updrafts to develop.) and (2) wind change with height. Hurricanes have both. So, many hurricanes lead to tornado outbreaks. Fortunately, the tornadoes tend to be weaker than those associated with severe thunderstorms in the U.S.

For storms like hurricanes and tornadoes, it is important to know the rules for being safe. Also, keep close track of updates when severe weather threatens.