(Chemistry: Wind Chill) At 0℃ the heat loss H (in kilocalories per square meter per hour) from a person’s body can be modeled by

Question

H = 33(10√v - v + 10.45)
where v is the wind speed (in meters per second).

Find dH/dv and interpret its meaning.

I am pretty confident the derivative is 33(5/√v - 1), my problem is what is the interpretation? Doing the math is the easy part, what does it mean? Any help?

Answer 1

..by equating the heat loss in still air at the "wind chill" temperature to the actual loss at 0 deg C and the actual wind speed.