A. Study figure A. Initially, a liquid is at rest in a cylindrical container as shown.Now, the container is rotated at an angular velocity o. Show that the depth z,is :w2 R2Zo = Ho -You need to take mass conservation into consideration and use the integral4ggiven in the figure.APooPo+ Z.Zr) =29%3DRHoRR z1r) 27relevant integral:S Srdrdady3.9.

A. Study figure A. Initially, a liquid is at rest in a cylindrical container as shown. Now, the container is rotated at an angular velocity o. Show that the depth zo is : w2 R2 Zo = Ho You need to take mass conservation into consideration and use the integral 4g given in the figure. A R 22 Po Z ir) = +Z. 29 Ho 2. R relevant integral : s Srordzdy 3

A. Study figure A. Initially, a liquid is at rest in a cylindrical container as shown. Now, the container is rotated at an angular velocity o. Show that the depth zo is : w2 R2 Zo = Ho You need to take mass conservation into consideration and use the integral 4g given in the figure. A R 22 Po Z ir) = +Z. 29 Ho 2. R relevant integral : s Srordzdy 3

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Fluid Kinematics

The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid statics) or in motion (posing some velocity). In fluid kinematics, studies focus on the associated motion of fluid particles or groups of particles, and its associated parameters like displacements, velocity, and acceleration without concerning about the forces that caused the motion. All the laws of classical mechanics are applied in the study of fluid kinematics.

Question

A. Study figure A. Initially, a liquid is at rest in a cylindrical container as shown.
Now, the container is rotated at an angular velocity o. Show that the depth z,
is :
w2 R2
Zo = Ho -
You need to take mass conservation into consideration and use the integral
4g
given in the figure.
A
Poo
Po
+ Z.
Zr) =
29
%3D
R
Ho
R
R z1r) 27
relevant integral:
S Srdrdady
3.9.

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