до ди 2 dx ду B' Line b- P' Line a Line b v Fluid element Be at time t2 dy a/2 dx и Line a Fluid element at time t
до ди 2 dx ду B' Line b- P' Line a Line b v Fluid element Be at time t2 dy a/2 dx и Line a Fluid element at time t
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
A two-dimensional fluid element of dimensions dx and dy translates and distorts as shown, during the infinitesimal time period dt = t2 − t1. The velocity components at point P at the initial time are u and ? in the x- and y-directions, respectively. Show that the magnitude of the rate of rotation (angular velocity) about point P in the xy-plane is

Transcribed Image Text:до
ди
2 dx
ду
B'
Line b-
P'
Line a
Line b v
Fluid element
Be
at time t2
dy
a/2
dx
и
Line a
Fluid element
at time t
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