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Math Help - Cooling/temperature Problem

  1. #1
    Junior Member
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    Sep 2007
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    64

    Cooling/temperature Problem

    A thermometer is taken from a room where the temperature is 85 degrees and carried outdoors. A minute later the thermometer reads 65.5 degrees and another minute it reads 51.85 degrees. How cold is it outside?

    t(0) = 85
    t(1) = 65.5
    t(2) = 51.85

    How do I solve to find the temperature outside?
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  2. #2
    Junior Member F.A.P's Avatar
    Joined
    Dec 2006
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    The following formula for the cooling of an object is derived from Newtons Law of Cooling

    T- T_s = Ae^{-kt}

    T is the temperature of the object
    T_s is the ambient temperature
    k is a cooling(or insulation) factor
    A is the temperature difference at t=0

    There are three unknowns + you have data for three equations = probably solvable...
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