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Question about Newton's Law of Cooling

  1. Feb 13, 2013 #1
    Newton's law of cooking
    T(t)= Ta+(To-Ta ) e^(-kt)
    or search it up online for a cleaner formula.

    Anyways, what does the cooling constant k represent. What do larger or smaller values of k mean?

    Thanks
     
  2. jcsd
  3. Feb 13, 2013 #2

    CWatters

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    What do you mean by a "cleaner" formula? Are you working on a specific problem? Perhaps it doesn't need Newtons law of cooking to solve it?

    Anyway scroll down..

    http://www.ugrad.math.ubc.ca/coursedoc/math100/notes/diffeqs/cool.html

    k is a constant. Newton says the rate of change of the temperature of an object is proportional to the difference between its own temperature and the ambient temperature. "Proportional to" implies a constant...

    dT/dt = -k(T-Ta)


    k depends on the physical properties of the system... How well insulated it is, the heat capacity of the object etc
     
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