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Everyday Math Suite

Wind Chill Calculator

Calculate the apparent felt temperature based on air temperature and wind speed, and review National Weather Service frostbite hazard warnings.

1. Enter Weather Parameters

Understanding the Wind Chill Index

The Wind Chill temperature index is an estimate of how cold it feels to a human being. It was designed by the National Weather Service (NWS) and Meteorological Service of Canada using clinical trials of human heat loss under various wind speeds and temperatures.

The NOAA Wind Chill Formula

To calculate wind chill accurately, temperatures must be in Fahrenheit and wind speeds in miles per hour:

T_wc = 35.74 + (0.6215 × T) - (35.75 × V^0.16) + (0.4275 × T × V^0.16)

Where:
T_wc is the Wind Chill temperature index.
T is the air temperature in °F.
V is the wind speed in mph.

Wind Chill Application Limits

Wind chill is mathematically and biologically defined only for:

  • Air temperatures at or below 50°F (10°C).
  • Wind speeds above 3 mph (4.8 km/h).

If weather conditions fall outside this range, wind speed does not induce significant convective cooling beyond air temperature, and the wind chill is equal to the air temperature.

Common Questions & Wind Chill Insights

What exactly is wind chill?

Wind chill is the apparent temperature describing how cold it feels outdoors. Your body warms a thin layer of air right next to your skin. When the wind blows, it sweeps this protective warm layer away, accelerating heat loss and making you feel much colder than the actual air temperature.

At what temperature does wind chill start to apply?

The official National Weather Service wind chill index is only defined for air temperatures at or below 50°F (10°C) and wind speeds above 3 mph (4.8 km/h). At higher temperatures or calm winds, the chilling effect is negligible, and wind chill equals the air temperature.

Can wind chill cause water pipes to freeze if the air temperature is above freezing?

No. Wind chill only affects living organisms that produce heat. While wind will cool water pipes down to the actual air temperature much faster, it cannot cool them below the air temperature itself. If the air is 35°F, the pipes will not freeze, regardless of how strong the wind is.

How long does it take to get frostbite based on wind chill?

At a wind chill of -18°F (-28°C), frostbite can occur on exposed skin in about 30 minutes. As the wind chill drops lower, the timeline shrinks rapidly. At -35°F (-37°C), it can take just 10 minutes, and at -60°F (-51°C), skin can freeze in under 5 minutes.

How is wind speed measured for wind chill calculations?

The wind chill formula uses wind speed measured at standard anemometer height (33 feet or 10 meters above the ground). Since wind speed is typically lower right at face level, the formula adjusts for this to estimate the cooling effect you actually feel.

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