Consider the situation described in the figure below.102-V1(1) By taking into account the speed v2 of the fluid at the top surface of the tank, show that thespeed of the fluid leaving the opening is given byV1 =-Y2dhdt2gh1-A²where h = y2-y₁, and A₁ and A₂ are the areas of the opening and the top surface, respectively.What did you assume to derive the expression for v₁?(3) Show that the level of the liquid, h = y2 - y₁, drops at a rate2gh AA² - A²

Objectives of the question:(1) To prove, by taking into account the speed of the fluid at the top…

Consider the situation described in the figure below. 402 -V₁ (1) By taking into account the speed v2 of the fluid at the top surface of the tank, show that the speed of the fluid leaving the opening is given by V1 = -Y2 dh dt 2gh 1- A² where h = y2-31, and A₁ and A2 are the areas of the opening and the top surface, respectively. (2) What did you assume to derive the expression for v₁? (3) Show that the level of the liquid, h = y2-y₁, drops at a rate 2gh A² A² - A²

Consider the situation described in the figure below. 402 -V₁ (1) By taking into account the speed v2 of the fluid at the top surface of the tank, show that the speed of the fluid leaving the opening is given by V1 = -Y2 dh dt 2gh 1- A² where h = y2-31, and A₁ and A2 are the areas of the opening and the top surface, respectively. (2) What did you assume to derive the expression for v₁? (3) Show that the level of the liquid, h = y2-y₁, drops at a rate 2gh A² A² - A²

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Question

Consider the situation described in the figure below.
102
-V1
(1) By taking into account the speed v2 of the fluid at the top surface of the tank, show that the
speed of the fluid leaving the opening is given by
V1 =
-Y2
dh
dt
2gh
1-
A²
where h = y2-y₁, and A₁ and A₂ are the areas of the opening and the top surface, respectively.
What did you assume to derive the expression for v₁?
(3) Show that the level of the liquid, h = y2 - y₁, drops at a rate
2gh A
A² - A²

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Step 2: Derivation of speed of the fluid leabing the tank.

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Step 3: Stating the assumtions.

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Step 4: Finding the rate of drop of level of liquid.

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