Thread: Wind chill problem

This is the wind chill formula, see Wind chill - Wikipedia, the free encyclopedia
T is temperature, V is the wind velocity.

Let T = -10 C centigrade at some time and V = 10 m/s. At what rate must V be reduced for W to remain constant when T is reduced by 1 C centigrade per hour?

Hey mathlearner100.

Have you tried to calculate the derivatives of W with respect to Ta and V? The total differential will be 0 if T_wc doesn't change (i.e. remains constant).

This is when these things vary continuously: if they don't then you need to consider a discrete model.