Chapter 6.7, Problem 40ES

Wind Chill Temperature. Because wind enhances the loss of heat from the skin, we feel colder when there is wind than when there is not. The wind chill temperature is what the temperature would have to be with no wind in order to give the same chilling effect as with the wind. A formula for finding the wind chill temperature, T W, is

$Tw=35.74+0.6215T-35.75V^{0.16}+0.4275T{V}^{0.16}$,

where T is the actual temperature given by a thermometer, in degrees Fahrenheit, and V is the wind speed, in miles per hour. This formula can be used only when the wind speed is above 3 mph. Use a calculator to find the wind chill temperature in each case. Round to the nearest degree.

Data: National Weather Service

$T=40°\text{F,}V=25\text{ mph}$

$T=20°\text{F,}V=25\text{ mph}$

$T=10°\text{F,}V=20\text{ mph}$

$T=10°\text{F,}V=40\text{ mph}$

$T=-5°\text{F,}V=35\text{ mph}$

$T=-15°\text{F,}V=35\text{ mph}$