| MadSci Network: Earth Sciences |
Thanks for asking this question, because it happens to be one of my pet
peeves. The Wind Chill Index is one of the most misleading and misunderstood
pieces of information in all of public weather broadcasting. The primary
misunderstanding is that wind chill has anything to do with ambient air
temperature. What the index really measures is =rate= of cooling,
specifically as compared to a container of warm water, intended to mimic
roughly that of a human being.
The reason it feels cooler on a windy day is that wind acts to remove energy
from a surface. In the case of a human body, the wind is almost always
cooler than the body's surface, unless you happen to be in a place where the
wind temperature exceeds 37 degrees C. Try this simple experiment: roll up
your sleeve, hold your arm 30 cm or so from your face, and blow on it. Your
arm feels cooler at that spot, right? Has the air temperature suddenly
dropped? No. What is happening is that the air movement is removing heat
from that part of your body, making it feel cooler.
When the weatherman says the temperature is -10 degrees, with a wind chill
of -30 degrees, the temperature is still -10 degrees. If you take a
thermometer outside, that is what it will measure. What the wind chill
indicates is that, at that temperature, with that wind speed, exposed human
flesh will cool to -10 degrees as rapidly as if it were -30 and there were
no wind. What applies to human flesh also applies to other things. On a
windy winter day, the engine block on your vehicle will cool more quickly
too, but it will never drop below the ambient air temperature.
A good test of how wind chill and ambient temperature are not directly
related is to take a container of water outside on a windy day when the air
temperature is slightly above freezing and the wind chill equivalent is
given as below freezing. No matter how long you leave the water out, it will
not freeze. All it will do is cool to air temperature faster than if there
were no wind.
In Canada, meteorologists have tried to rectify this misunderstanding by
using a more accurate description of wind chill. Heat loss and heat gain in
the metric system is measured in watts per square metre. (In the British/
Imperial/American system, it would be something like calories per square
inch.) When Environment Canada releases weather information, it provides the
ambient air temperature, which is independent of wind speed, and the wind
chill factor in watts/sq. metre. From the link listed below, here's an
example.
With an ambient air temperature of -15 degrees C, and a wind speed of 20 km/
h, the wind chill factor is 1600 watts per square metre. That means that the
wind is capable of removing heat from exposed parts of your body at that
rate each second, making it feel as if the temperature were actually -26
degrees C without wind.
Unfortunately, Canadians, like most other people, are resistant to change,
even when it's for the better. So most radio and tv weather reports provide
the wind chill, not as a cooling rate, but rather as an equivalent
temperature. Thus the misunderstanding is perpetuated, and people still
think that a wind chill of -30 degrees means it's really that cold out.
For an excellent explanation of what wind chill is, what factors affect wind
chill, and how to interpret wind chill, go to this very excellent site (but
be aware that you will be dealing with the metric system - another example
of what many people are unwilling to adapt to, despite its being for the
better...)
http://www.msc-smc.ec.gc.ca/cd/factsheets/windchill/index_e.cfm
And just as a by-the-way, here are the Fahrenheit/Celsius formulae for
calculating the standard equivalent temperatures.
The formula the US National Weather Service uses to compute wind chill is:
T(wc) = 0.0817(3.71V^0.5 + 5.81 -0.25V)(T - 91.4) + 91.4
Where:
T(wc)= the wind chill
V = in the wind speed in statute miles per hour and,
T = the temperature in degrees Fahrenheit.
The formula to calculate a Celsius wind chill is:
T(wc) = 0.045(5.27V^0.5 + 10.45 - 0.28V) (T - 33) + 33
Where:
T(wc)= the wind chill
V = in the wind speed in kilometers per hour and,
T = the temperature in degrees Celsius.
Hope this makes the picture clearer. Spread the word!
Try the links in the MadSci Library for more information on Earth Sciences.