john asked in Science & MathematicsPhysics · 3 months ago

If data for the decrease in °C of coffee every 10 minutes is given, how can create a formula for temp without using Newton’s law of cooling?

4 Answers

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  • 3 months ago
    Best answer

    Plot log(temperature) versus time. If that’s a straight line with slope -a then you have

    T(t) = T(0) exp(-at)

    So then Newton’s law of cooling is a result, not an assumption.

  • Jim
    Lv 7
    3 months ago

    Use a spreadsheet pgm that will not only plot the points into a graph but will also find a formula for the plotted points.

  • 3 months ago

    Look at the numbers and decide which type of curve would look best, then adapt the paremeters to fit to the curve.

    You could create any kind of formula - even a linear one - but with a little bit of background knowledge about how cooling works, you'll guess that its a (simple linear) differential equation, for which the default approach would be to fit an exponential.

  • 3 months ago

    plot the temperatures on a graph and attempt to find a formula that matches the graph.

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