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Math Help - Wind chill problem

  1. #1
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    Wind chill problem

    T_{wc} = 13.12 + 0.6212 \cdot T_a - 11.37 \cdot V^{0.16} + 0.3965 \cdot T_a \cdot V^{0.16}

    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?
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  2. #2
    MHF Contributor
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    Re: Wind chill problem

    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.
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