SOLUTION: The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula
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Question 1208108: The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce the same heat loss as the given temperature and wind speed. One formula for computing the equivalent temperature is given below.
Let W = a piecewise function.
Top portion: t if 0 <= v < 1.79
Middle portion:
33 - [(10.45 + 10sqrt{v} - v)(33 - t)]/(22.04)
if 1.79 <= v <= 20
Bottom portion: 33 - 1.5958(33 - t) if v > 20
where v represents the wind speed (in meters per second) and t represents the air temperature (°C).
Compute the wind chill for the following:
(a) An air temperature of 10°C and a wind speed of 5 m/sec
(b) An air temperature of 10°C and a wind speed of 25 m/sec Found 2 solutions by Boreal, math_tutor2020:Answer by Boreal(15235) (Show Source):
You can put this solution on YOUR website!
Piecewise functions can be a strange beast.
I think of them as a Frankenstein's monster because we glue together various parts of other functions.
The function will change its identity based on what the input is.
The input in this case is variable v (t is the parameter and appears to be fixed to t = 10).
We have 3 scenarios
If 0 <= v < 1.79, then W(v) = t
If 1.79 <= v <= 20, then W(v) = 33 - (10.45 + 10*sqrt(v) - v)*(33-t)/22.04
(