The Wind Chill Formula
WC = 35.74 + 0.6215T - 35.75V^0.16 + 0.4275T·V^0.16
where T is air temperature in Fahrenheit and V is wind speed in miles per hour. Using the calculator's default example — 30°F with a 15 mph wind — the formula returns a wind chill of about 19.0°F, nearly 11 degrees colder than the actual air temperature suggests.
Why the Formula Uses a Fractional Power of Wind Speed
The V^0.16 term (wind speed raised to the 0.16 power) reflects how heat loss from skin doesn't scale directly with wind speed — the biggest jump in perceived cold happens at the first few miles per hour of wind, because that's when the insulating boundary layer of warm air around your skin gets disrupted the most. Beyond that, additional wind speed keeps making things colder, but with steadily diminishing returns; going from a 5 mph breeze to a 15 mph wind matters far more to how cold you feel than going from 35 mph to 45 mph.
Where the 2001 Formula Came From
The wind chill formula used today replaced an older 1945 version that was based on an experiment measuring how fast water froze in a plastic container exposed to wind — a proxy for the human body that turned out to overstate how much wind actually cools skin. In 2001, the National Weather Service and Environment Canada worked with scientists to derive a new formula based on how skin genuinely loses heat, calibrated using actual human trials in a controlled wind-chill chamber. The result is generally milder (less extreme) than the old formula predicted for the same conditions, and it's the version implemented in this calculator.
Why the Formula Has Range Limits
The 2001 formula is only validated at or below 50°F with wind above 3 mph — above 50°F, wind doesn't meaningfully change how a comfortable temperature feels, and below 3 mph, there isn't enough sustained airflow for the wind-chill mechanism to apply in any meaningful way (natural convection dominates instead). Outside that range, the National Weather Service reports the plain air temperature rather than an extrapolated wind chill, and this calculator follows the same rule, returning a note explaining why no adjustment applies.