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5. Deduzca una ecuación diferencial que exprese la altura h del agua en cualquier momento t, que hay en el tanque cónico de la figura. No tome en cuenta fricción ni contracción de la corriente cerca del agujero. R Sabemos que: dh A, /2gh dt Area = 28.3 ft² I 5 ft A, = 1/8 ft2 wwwm

5. Deduzca una ecuación diferencial que exprese la altura h del agua en cualquier momento t, que hay en el tanque cónico de la figura. No tome en cuenta fricción ni contracción de la corriente cerca del agujero. R Sabemos que: dh A, /2gh dt Area = 28.3 ft² I 5 ft A, = 1/8 ft2 wwwm

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter58: Achievement Review—section Five
Section: Chapter Questions
Problem 30AR: Determine dimension x to 3 decimal places.
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Question

Derive a differential equation that expresses the height h of the water at any time t in the conical tank in the figure. Do not take into account friction and contraction of the stream near the hole.

Instructions:
Explain in words, each step of the process until you reach the result. (The exercise is already solved)

Note:
The original exercise is in the image, for a better understanding, it is in Spanish but it is easy to understand.

-In the other image is the correct procedure of the exercise, what I want is that you explain me in detail all the steps that were followed. (What was done in each step, in a detailed way please).

(5) Deduzca Una fD- (5) → h del agual 2 Area = 28.3 %3D dh lat Aw= 28.3ft q = 22.2 ft. %3B at Ə8.3ft
Transcribed Image Text:(5) Deduzca Una fD- (5) → h del agual 2 Area = 28.3 %3D dh lat Aw= 28.3ft q = 22.2 ft. %3B at Ə8.3ft
5. Deduzca una ecuación diferencial que exprese la altura h del agua en cualquier momento t, que hay en el tanque cónico de la figura. No tome en cuenta fricción ni contracción de la corriente cerca del agujero. R Sabemos que: dh A, /2gh dt Area = 28.3 ft2 I ft A, = 1/8 ft2
Transcribed Image Text:5. Deduzca una ecuación diferencial que exprese la altura h del agua en cualquier momento t, que hay en el tanque cónico de la figura. No tome en cuenta fricción ni contracción de la corriente cerca del agujero. R Sabemos que: dh A, /2gh dt Area = 28.3 ft2 I ft A, = 1/8 ft2
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