Home › Weather & Environment › Heat Index Calculator
Heat Index Calculator
Computes the NWS heat index ('feels like' temperature in the shade) from air temperature and relative humidity with the Rothfusz regression, including the NWS low- and high-humidity adjustments, and classifies the NWS risk category.
When to use
You need how hot humid weather feels, the NWS heat-index category (caution to extreme danger) or a heat-safety threshold for temperatures of 80 °F (27 °C) and above.
Do not use when: Temperatures are below about 80 °F (27 °C), where the heat index is not meaningful (for cold weather use wind-chill), or you need the dew point itself (use dew-point).
Formula
T in °F, RH in %. Simple: HI₀ = 0.5·[T + 61 + 1.2·(T − 68) + 0.094·RH]. If HI₀ ≥ 80: 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: HI −= (13 − RH)/4 · √((17 − |T − 95|)/17); if RH > 85 and 80 ≤ T ≤ 87: HI += (RH − 85)/10 · (87 − T)/5
The Rothfusz regression reproduces Steadman's apparent-temperature model within ±1.3 °F for shady, light-wind conditions; full sunshine can add up to 15 °F. NWS categories: 80–90 °F caution, 90–103 extreme caution, 103–124 danger, 125+ extreme danger.
Inputs
| Parameter | Type | Unit | Required | Description |
|---|---|---|---|---|
temperature | number | yes | Air temperature in the shade, in temperature_unit. The regression is valid for 80–112 °F (27–44 °C). Range: ≥ -50, ≤ 150 | |
temperature_unit | enum: c | f | default f | Unit of the temperature input(s). | |
relative_humidity_percent | number | % | yes | Relative humidity in percent (70 means 70 %). Range: ≥ 0, ≤ 100 |
Outputs
| Output | Type | Unit | Description |
|---|---|---|---|
heat_index_f | number | °F | Apparent temperature in Fahrenheit. |
heat_index_c | number | °C | Apparent temperature in Celsius. |
temperature_f | number | °F | Input temperature in Fahrenheit (the regression works in °F). |
category | string | Caution (80–89 °F), Extreme caution (90–102 °F), Danger (103–124 °F) or Extreme danger (125 °F and above). | |
effect | string | NWS description of heat disorders possible with prolonged exposure or strenuous activity. | |
method_used | string | Rothfusz regression (heat index ≥ 80 °F) or the simple Steadman-average formula below 80 °F. |
Example
90 °F, 70 % RH: {"temperature":90,"temperature_unit":"f","relative_humidity_percent":70} → {"heat_index_f":105.9,"heat_index_c":41.1,"temperature_f":90,"category":"Danger","method_used":"Rothfusz regression"}
35 °C, 60 % RH: {"temperature":35,"temperature_unit":"c","relative_humidity_percent":60} → {"heat_index_f":113.1,"heat_index_c":45.1,"category":"Danger"}
GET https://tttkmbb.com/api/v1/calculate/heat-index?temperature=90&temperature_unit=f&relative_humidity_percent=70
Machine access
- API:
GET https://tttkmbb.com/api/v1/calculate/heat-index(query parameters) orPOSTwith a JSON body{"inputs": {...}} - Schema: https://tttkmbb.com/api/v1/calculators/heat-index · Markdown: https://tttkmbb.com/weather/heat-index.md · JSON definition: https://tttkmbb.com/weather/heat-index.json
- MCP: server
https://tttkmbb.com/mcp, toolrun_calculator with calculator_id="heat-index" - OpenAPI operationId:
calculate_heat_index - Freshness:
static. Authentication: none. Rate limit: fair use (see rate limits).
Sources
FAQ
Why does the chart say 105 °F but the calculator 105.9 °F?
The NWS chart rounds Steadman's original table; the regression used here (and by the NWS online calculator) reproduces it within about ±1.3 °F.
Does it account for sun or wind?
No. The heat index assumes shade and a light breeze; the NWS notes that direct sunshine can raise the apparent temperature by up to 15 °F (8 °C).
What happens below 80 °F?
The simple Steadman-average formula is reported and the category is 'No heat-index warning', because the full regression is only fitted for heat index values of 80 °F and above.
Related calculators
- Dew Point Calculator — Dew point is the other common measure of how muggy the air feels.
- Wind Chill Calculator — The cold-weather counterpart of the heat index.
- Temperature Converter — Plain °C ↔ °F conversion.