The formula

With temperature in °F and wind speed in mph:

WC = 35.74 + 0.6215T − 35.75V^0.16 + 0.4275T × V^0.16

The V^0.16 term is the interesting part. It rises steeply at low wind speeds and flattens out at high ones, which is why the first few miles per hour take off more than the last twenty. Going from calm to 10 mph costs you more than going from 30 mph to 40.

The formula assumes an adult face at walking pace, at night, out of direct sun. Bright sunshine offsets a real part of it, and a covered body is not losing heat at the rate the number describes.

Where it stops being valid

Two limits, and this calculator respects both rather than printing a number anyway:

Most weather apps simply stop displaying wind chill outside those bounds, which occasionally reads as a missing feature. It is the correct behaviour.

Frostbite exposure times

The reason forecasters lead with wind chill rather than air temperature is that it maps onto how long uncovered skin lasts.

National Weather Service guidance for dry, uncovered adult skin. Wet skin fails faster.
Wind chillFrostbite on exposed skin in
−18 °F (−28 °C)About 30 minutes
−33 °F (−36 °C)About 10 minutes
−48 °F (−44 °C)About 5 minutes

Which points at the right response. A low wind chill is about the skin you have left uncovered — face, ears, hands — so covering those beats adding another layer over skin that is already covered.

What to use the air temperature for instead

Wind chill describes heat loss from a person and applies to nothing else. Wind can bring an object to the air temperature faster, but never below it.

So for pipes, plants, paint, concrete and car batteries, use the air temperature and the exposure time. A pipe in a 5 °F wind chill at 20 °F air temperature still cannot go below 20 °F — the reasoning is in what temperature pipes freeze at, and the full explanation of the number itself is in wind chill explained.