Heat stress · NWS method

Heat Index Calculator

The heat index combines air temperature and relative humidity into how hot it feels to a person in the shade. Humid air slows the evaporation of sweat, so it feels hotter than the thermometer reads.

Heat index calculator

Temperature unit

Heat index

104.7°F

Formula

  • Simple estimate first: HI = 0.5·[T + 61 + (T − 68)·1.2 + RH·0.094]. If that reaches 80°F, the regression below is used instead.
  • HI = −42.379 + 2.04901523·T + 10.14333127·RH − 0.22475541·T·RH − 0.00683783·T² − 0.05481717·RH² + 0.00122874·T²·RH + 0.00085282·T·RH² − 0.00000199·T²·RH²
  • If RH < 13% and 80 ≤ T ≤ 112°F: subtract [(13 − RH)/4]·√{[17 − |T − 95|]/17}.
  • If RH > 85% and 80 ≤ T ≤ 87°F: add [(RH − 85)/10]·[(87 − T)/5].

Source: Rothfusz (1990) regression of Steadman’s apparent temperature tables, with the adjustments published by the NWS Weather Prediction Center. T in °F, RH in percent.

Valid range

  • The NWS heat index chart covers 80°F to 110°F (27°C to 43°C) and 40% to 100% humidity. The regression fits Steadman’s tables to within about ±1.3°F there.
  • Below 80°F the calculator uses the simple formula, as NWS does, and the result stays close to the air temperature. It is flagged, because the heat index is not meant for mild weather.
  • Above 110°F the regression is being extrapolated and grows quickly. The calculator still shows the value but flags it as a rough indication only.
  • The heat index assumes shade and light wind. NWS notes that full sunshine can raise it by up to 15°F.

Reading the heat index

Sweat cools you only when it evaporates. The more water vapor already in the air, the slower that happens, so a humid 92°F day can feel like 105°F while a dry one feels close to the thermometer. The heat index puts a number on that.

NWS groups heat index values into four risk bands: caution (80–89°F), extreme caution (90–102°F), danger (103–124°F) and extreme danger (125°F and above). Local heat advisories and warnings are issued against criteria set by each forecast office, so the same heat index can trigger an advisory in one city and not another.

In very dry air the regression slightly overstates the heat index, and between 80°F and 87°F in very humid air it slightly understates it. NWS publishes two small adjustments for those corners, and both are applied here.

Heat index chart (°F)

Generated from the same equation as the calculator above.

Heat index chart (°F)
Humidity (%) / Temperature (°F)80°82°84°86°88°90°92°94°96°98°100°102°104°106°108°110°
40%8081838588919497101105109114119124130136
45%80828487899296100104109114119124130137
50%81838588919599103108113118124131
55%818486899397101106112117124130
60%8284889195100105110116123129137
65%8285899398103108114121128136
70%83869095100106112119126134
75%84889297103109116124132
80%848994100106113121129
85%859096102110117126135
90%869298105113122131
95%8894101109117127137
100%8996104112121132

Blank cells would be above 137°F, far beyond the data the regression was fitted to. The printed NWS chart comes from Steadman's original tables, so a few cells there differ from the equation by a degree or two.

Heat index chart (°C)

Generated from the same equation as the calculator above.

Heat index chart (°C)
Humidity (%) / Temperature (°C)27°29°31°33°35°37°39°41°43°
40%272931343741465157
50%2730333641465258
60%283135404551
70%293338435058
80%3035414857
90%31374554
100%334049

Heat index questions

What heat index is dangerous?
NWS rates 103°F to 124°F (39°C to 51°C) as danger, where heat cramps and heat exhaustion are likely and heat stroke is possible with prolonged exposure, and 125°F (52°C) and above as extreme danger. Even the 90–102°F extreme caution band can cause heat illness with exertion.
Why can the heat index be lower than the temperature?
In very dry air, sweat evaporates efficiently and the body cools well, so hot, dry conditions can feel slightly cooler than the air temperature. That is why the equation can return a value a degree or two below the thermometer at low humidity.
Does the heat index include sunshine?
No. It assumes shade and a light breeze. NWS notes that direct sunshine can raise the heat index by up to 15°F. For sun and wind as well as humidity, occupational and sports guidance uses the wet-bulb globe temperature (WBGT).
Why does this calculator not match the NWS chart exactly?
The printed NWS chart comes from Steadman’s original tables, while calculators, including NWS’s own, use the Rothfusz regression fitted to those tables. They agree to within about 1°F over most of the chart, and the adjustments for very dry or very humid air can move a cell by a degree or two.
Is the heat index the same as “feels like”?
At 80°F and above, yes: the NWS feels-like temperature is the heat index. In the cold it is the wind chill, and in between it is the air temperature. The feels-like calculator applies that rule for you.