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?
- Dr. ZorroLv 711 months agoFavourite 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.
- JimLv 711 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.
- Markus ImhofLv 711 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.
- billrussell42Lv 711 months ago
plot the temperatures on a graph and attempt to find a formula that matches the graph.