The graph below shows the temperature t tv adjusted for win

The graph below shows the temperature t = t(v) adjusted for \"wind chill\" as a function of the velocity of the wind when the thermometer reads 30 degrees Fahrenheit. The adjusted temperature T shows the temperature that has the equivalent cooling power when there is no wind. At what wind speed is the temperature adjusted for wind chill equal to zero? At what value of v would a small increase in v have the greatest effect on t(v)? That is a small increase in v created the greatest change in T effective. Suppose the wind speed is 45 miles per hour, from the shape of the graph, how big a change in T effective would you expect for a small increase in v?

Solution

From the given graph we observe that

(1) At nearly 26 mph of wind speed the the wind chill equals to zero

(2) At the increase of wind speed from 26 to 30(Nearly 28 mph) the wind chill becomes negative it will great effect on temparature.

(3) At 45 mph wind speed the small effect on temperatute is -5 degrees