Wind Chill - Free Math Help

How do I calculate Wind Chill?

The wind chill is a measurement of what it "feels like" when wind speed is considered. We all know that wind can make a cool winter day feel bitter cold, and the wind chill is just a way of measuring this effect. The current formula for wind chill, set by the National Weather Service, is the following:

Wind Chill (Celsius, km/h)

T_{c h i l l} = 13.12 + 0.6215 * T_{a} - 11.37 * V^{0.16} + 0.3965 * T_{a} * V^{0.16}

$T_{chill}=13.12+0.6215*T_a-11.37*V^{0.16}+0.3965*T_a*V^{0.16}$

In this formula, $T_{chill}$ is the wind chill in celsius. $T_a$ is the actual temperature. $V$ is the wind velocity in km/h.

Wind Chill (Fahrenheit, mph)

To calculate the wind chill in fahrenheit, use the formula below. This formula uses mph for the wind speed.

T_{c h i l l} = 35.74 + 0.6215 * T_{a} - 35.75 * V^{0.16} + 0.4275 * T_{a} * V^{0.16}

$T_{chill}=35.74+0.6215*T_a-35.75*V^{0.16}+0.4275*T_a*V^{0.16}$

More Information

The National Weather Service has a page that includes a chart of wind chill values for given wind speeds. There's also a wind chill calculator there. Or, visit Wunderground for a map of current US wind chill values.

Real World Math
NOAA Wind Chill Calculator

How do I calculate Wind Chill?

Wind Chill (Celsius, km/h)

Wind Chill (Fahrenheit, mph)

More Information

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