Problem 3 The velocity field of a fluid particle is given by the expressions и %3D (Ах + Ву)t v = (Cx + Dy)t while the motion of the fluid particle is described on the table shown. Time (s) 0.5 Position (x, y) m |(1, 1) (2, 1) u (m/s) 1.5 v (m/s) -1.0 1.0 5.0 -1.0 Determine the acceleration (magnitude and direction) of the particle at t= 1.0 s. Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Problem 3
The velocity field of a fluid particle is given by the expressions
и %3D (Ах + Вy)t
v = (Cx + Dy)t
while the motion of the fluid particle is described on the table shown.
Position (x, y) m
(1, 1)
(2, 1)
v (m/s)
-1.0
Time (s)
u (m/s)
1.5
0.5
1.0
5.0
-1.0
Determine the acceleration (magnitude and direction) of the particle at t = 1.0 s.
Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.
Transcribed Image Text:Problem 3 The velocity field of a fluid particle is given by the expressions и %3D (Ах + Вy)t v = (Cx + Dy)t while the motion of the fluid particle is described on the table shown. Position (x, y) m (1, 1) (2, 1) v (m/s) -1.0 Time (s) u (m/s) 1.5 0.5 1.0 5.0 -1.0 Determine the acceleration (magnitude and direction) of the particle at t = 1.0 s. Hint: Solve for the constants A, B, C, and D in order to fully describe the velocity field.
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