Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the dT temperature of the body. That is, = K[M(t) – T(t)], where K is a constant. Let K = 0.03 (min)' and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is dt initially at 359 kelvins, use Euler's method withh = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
Newton's law of cooling states that the rate of change in the temperature T(t) of a body is proportional to the difference between the temperature of the medium M(t) and the dT temperature of the body. That is, = K[M(t) – T(t)], where K is a constant. Let K = 0.03 (min)' and the temperature of the medium be constant, M(t) = 290 kelvins. If the body is dt initially at 359 kelvins, use Euler's method withh = 0.1 min to approximate the temperature of the body after (a) 30 minutes and (b) 60 minutes.
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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