Essential University Physics: Volume 1 (4th Edition)

Published by Pearson
ISBN 10: 0-134-98855-8
ISBN 13: 978-0-13498-855-9

Chapter 16 - Exercises and Problems - Page 312: 82

Answer

The explanation is below.

Work Step by Step

As the problem states, it is necessary to use a differential equation solver to complete this problem. After all, in order to solve this problem, we plug the given function into equation 16.3, giving: $\frac{dQ}{dt}=(40sin^2(\frac{\pi t}{24})$ (This will be the function that you can plug into the differential equation solver. Note, the book does not ask for any answers for this question; however, as the book describes, as the solution to this first order differential equation approaches infinity, the value will flatten out, signifying that the temperature will reach a constant value.)
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