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Final Answers
© 2000-2005 Gérard P. Michon, Ph.D.

Scales and Ratings:
Measuring without Units

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The Fujita Scale of Tornato Intensity
 
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Scales and Ratings


(2005-08-20)   Rationalized Beaufort Wind Scale
In "force n" weather, the wind speed is proportional to   n3/2  =  nÖn

The widely-used  Beaufort scale  was devised in 1806, by Sir Francis Beaufort (1774-1857), rear admiral, hydrographer to the Royal Navy.  It was adopted by the British Admiralty in 1838, and has been in international use since 1874.  Originally, the Beaufort Wind Scale did not refer to specific wind speeds, but to the effect of the wind on a full-rigged ship, and the amount of sail which should be carried.  Since "force 12" meant a wind that 'no canvas can withstand', the original scale did not extend beyond that point.

Each Beaufort number still corresponds to a variety of common observations which can be made at sea or inland.  For example, in a "force 0" condition:  'Smoke rises vertically. Sea is like a mirror.'

Since 1946, the Beaufort scale has been defined in terms of the speed of the wind, measured by an anemometer placed 10 meters above the ground.

"Force n" means a wind speed around V.n3/2, where V is a speed of about 1.871 mph. Any speed V, in mph, between 62Ö26/169 and 146Ö46/529 yields agreement with the rounded "mph" scale below, and also with the "km/h" scale, which is somewhat less restrictive.  (Some tables give 18 mph instead of 17 mph as the upper limit for a moderate breeze; this is inconsistent with the rest of the table, for any value of V.)

(Consistent)  Beaufort Scale
Force
(n)
Denomination of the wind Wind speed  (V nÖn)
EnglishFrench(mph)(km/h)
0CalmCalme0 to 0.60 to 1
1Light airTrès légère brise0.7 to 32 to 5
2Light breezeLégère brise4 to 76 to 11
3Gentle breezePetite brise8 to 1212 to 19
4Moderate breezeJolie brise13 to 1720 to 28
5Fresh breezeBonne brise18 to 2429 to 38
6Strong breezeVent frais25 to 3139 to 49
7Near gale, moderate galeGrand frais32 to 3850 to 61
8Gale, fresh galeCoup de vent39 to 4662 to 74
9Strong galeFort coup de vent47 to 5475 to 88
10Storm, whole galeTempête55 to 6389 to 102
11(Violent) stormViolente tempête64 to 72103 to 117
12HurricaneOuraganover 73over 118

To find the Beaufort number corresponding to a given speed, one divides that speed by V, and finds the whole number closest to the cubic root of the square of that ratio.  As a result of this modern definition, the Beaufort scale can be extended beyond the traditional limit of "force 12" for extremely violent winds.

We have not traced the existence of a "standard" value of V; we shall simply note that a value V = 0.8365 m/s (or any value between 0.83626 m/s and 0.8368 m/s) will agree with the above tables in mph or km/h, but that --unexplicably-- tables published in knots imply a value of V falling in the range 0.8401 m/s to 0.8433 m/s (once the inconsistent value of 16 knots published for the upper limit of a moderate breeze is lowered to 15 knots).


(2005-08-20)   Saffir / Simpson scale for hurricanes
The customary scales for hurricanes (Beaufort force 12 and "above").

In August 1969, Hurricane "Camille" hit the Mississipi-Alabama coast with what would be "force 23" winds in an extended Beaufort scale:  200 mph to 213 mph.  However, the Beaufort scale is rarely extended  (if ever)  beyond force 12.  Instead, the strength of hurricanes is described with the following scale:

The Saffir / Simpson Hurricane Scale
Cat.Pressure at centerWind (km/h)Surge (m)Damage
1above 980 hPa120 to 1531.2m to 1.5mMinimal
2965 hPa to 980 hPa154 to 1771.8m to 2.4mModerate
3945 hPa to 965 hPa178 to 2092.7m to 3.7mExtensive
4920 hPa to 945 hPa210 to 2494.0m to 5.5mExtreme
5below 920 hPa250 +5.5m +Catastrophic

In the Atlantic, the record-breaking hurricane season of 2005 included three category-5 hurricanes, named Katrina, Rita and Wilma (in chronological order).  At this writing (Oct. 2005) Wilma is the most intense hurricane ever observed in the Atlantic basin, featuring the lowest sea-level atmospheric pressure ever recorded in the Western Hemisphere outside of tornadoes  (882 hPa).  In the Northwest Pacific Ocean, only 9  typhoons  have surpassed the intensity of Wilma.  (The terms  typhoon  and  hurricane  describe the same phenomenon, but are used in different parts of the Globe.)

The costliest hurricane ever was  hurricane Katrina  (August 23 to 31, 2005) which caused an estimated $200 billion in damages and at least 1281 fatalities  (official count at this writing).  After hitting land as a mere category-1 hurricane north of Miami on August 25, the eye of Katrina made landfall again in Lousiana at 6:10am (CDT) on Monday, August 29, 2005.  as a category-4 hurricane...  By 11 am, the storm surge had breached the levee system protecting  New Orleans  from Lake Pontchartrain.  Most of the city was subsequently flooded.


(2005-08-20)   Fujita scale for tornadoes
Local twisters are primarily measured against a 6-rung scale  (F0 to F5).

Within tornadoes, the wind can reach speeds in excess of 280 mph  (450 km/h).  If the Beaufort scale was applicable, this would mean force 28 or 29.  Instead, all tornadoes are ranked using the following scale, from weakest to strongest:

The Fujita Tornado Scale
FnEffectsWind speed  (km/h)
F0Twisted antennas, broken branches60 to 110
F1Uprooted trees, vehicles turned over120 to 170
F2Lifted rooves, small projectiles180 to 250
F3Walls tipped over, large projectiles260 to 330
F4Houses destroyed, some trees lifted340 to 410
F5Large structures lifted, incredible damages420 to 510

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