[SOLVED] Newton's Law of Cooling Coffee in a cup cools down according to Newton's Law of Cooling:
dT/dt = k(T - T_m) where k is a constant of proportionality. (Note: if T_m is constant, and since the cup is cooling (that is, T > T_m), the constant k < 0.) Use data from the graph below which is of the temperature to estimate T_m, T_0, and k in a model of the form above (that is, dT/dt = k(T - T_m), T(0) = T_0.
Well, the graph starts at around 175 on the T axis (y-axis) and falls exponentially down until leveling off at around T = 80 to a horizontal line. Note that the T axis goes up in increments of 50.
The x-axis, that is the minutes, goes from 0 - 100, in increments of 25.
The points:
(0, 175)
(25, 88ish)
(50, 80ish)
(75, 80ish)
(100, 80ish) |