5. An object has an initial temperature of 10°C. At t = 0 it is placed into a container whose temperature oscillates according to A(t) = 5 cos 2rt, where t is in hours. Apply Newton's law of heat conduction (T'(t) = 2(A(t) – T(t))) to determine the temperature of the object as a function of time. Identify the transient and steady-state portions of your solution. Use Wolfram Alpha if you can't remember how to do the integral! On the exam I'll give one with an easier integral. Answ: T(t) = (cos 2nt + T sin 2nt) + (10 – z)e-2t, Ttrans = (10 – )e-", Tss = (cos 2nt + T sin 2nt)) 1+7 %3D 5. %3D

5. An object has an initial temperature of 10°C. At t = 0 it is placed into a container whose temperature oscillates according to A(t) = 5 cos 2rt, where t is in hours. Apply Newton's law of heat conduction (T'(t) = 2(A(t) – T(t))) to determine the temperature of the object as a function of time. Identify the transient and steady-state portions of your solution. Use Wolfram Alpha if you can't remember how to do the integral! On the exam I'll give one with an easier integral. Answ: T(t) = (cos 2nt + T sin 2nt) + (10 – z)e-2t, Ttrans = (10 – )e-", Tss = (cos 2nt + T sin 2nt)) 1+7 %3D 5. %3D

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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