Program Explanation Given information: The vertical tank contains 9 ft water initially then after one hour the water is dropped to 4 ft . Calculation: The given problem is of training tank. The Toricelli’s law is used for a draining tank. The Toricelli’s law can be represented as, A ( y ) d y d t = − k y ........ (1) Here, A ( y ) is the horizontal cross sectional area of the tank and k is constant. In the given problem A ( y ) = A is constant for every height. Now use the method of separation of the variable to solve the equation (1). A d y d t = − k y d y y = − k A d t Now integrate both sides. ∫ d y y = ∫ − k A d t 2 y = − k A t + C 2 y = B t + C Here, the value of B = k A . Therefore, the resultant equation is as follows, 2 y = − B t + C ........ (2) It is given that the vertical tank contains 9 ft water initially then after one hour the water is dropped to 4 ft . Therefore, the conditions are y ( 0 ) = 9 , y ( 1 ) = 4

5th Edition

ISBN: 9780135988510

Author: Edwards

Publisher: PEARSON CO

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A naïve solution for the above-stated problem is to evaluate all of the possible combinations of different pieces of varying size to find the maximum revenue-generating combination. Although this method seems the easiest and quick to practice, it has exp…

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Chapter 1.4, Problem 54P

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Program Description: Purpose of the problem is to find the time when the tank goes to empty.

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Chapter 1.4, Problem 53P

Chapter 1.4, Problem 55P

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Chapter 1 Solutions

EP DIFF.EQUAT.+BOUND.VALUE,...UPD.-ACC.

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Program Description: Purpose of the problem is to find the time when the tank goes to empty.

Solution Summary: The author explains how the Toricelli's law is used for a draining tank.

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Program Description: Purpose of the problem is to find the time when the tank goes to empty.

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Chapter 1 Solutions