The Body's Cooling System

The human body maintains its core temperature of 98.6°F through sweating. When sweat evaporates from skin, it carries heat away. In dry conditions, a 95°F day is uncomfortable but manageable — sweat evaporates quickly, cooling the skin effectively. In humid conditions, the air is already saturated with moisture, so sweat cannot evaporate. The cooling mechanism fails, and body temperature rises.

The 95°F / 80% Humidity Paradox

At 95°F with 80% relative humidity, the NWS heat index is approximately 133°F — 38 degrees hotter than the actual temperature. This is because at 80% humidity, your body must work 5–6 times harder to shed the same amount of heat as it would in dry air. The Rothfusz polynomial captures this non-linear relationship between temperature and humidity that makes muggy days genuinely life-threatening for elderly people, those with cardiovascular disease, and anyone doing physical labor outdoors.

Why the NWS Formula Uses a Polynomial

Simple temperature-humidity combinations were studied by R.G. Steadman in 1979, leading to the first heat index tables. The NWS adopted a regression equation developed by Rothfusz in 1990 that fits Steadman's original data with nine polynomial coefficients. Two adjustments were added: one for very low humidity (below 13% with temps 80–112°F), and one for high humidity (above 85% with temps 80–87°F). These correction terms address edge cases where the polynomial overestimates or underestimates perceived temperature.

Wind Chill: The Other Extreme

Wind chill was reformulated by the NWS in 2001 using a model based on a human face at walking speed (3 mph). The old formula from the 1940s (Siple-Passel) was based on water freezing on a cylinder and dramatically overstated the cooling effect at low wind speeds. The modern NWS formula adds a correction for solar radiation and better matches physiological heat loss. Key insight: wind does not lower the actual air temperature — it accelerates heat loss from your body. At calm wind, wind chill equals air temperature. Speeds above 40 mph add diminishing returns; going from 40 to 60 mph only changes wind chill by a few degrees.