4.31 As a valve is opened, water flows through shown in Fig. P4.31 at an increasing flowrate so that the velocity along the centerline is given by V ui = Vo(1-e (1 - x/€) i, where u, c, and e are constants. Determine the accel- eration as a function of x and t. If Vo value of c (other than c = for any x at i = 1 s? Explain how the acceleration can be zero if the flowrate is increasing with time. %3D 10 ft/s and e = 5 ft, what 0) is needed to make the acceleration zero %3D %3D

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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4.31 As a valve is opened, water flows through the diffuser
shown in Fig. P4.31 at an increasing flowrate so that the velocity
along the centerline is given by V ui = V(1-e
(1 - x/€) i, where u, c, and € are constants. Determine the accel-
eration as a function of x and t. If Vo = 10 ft/s and e = 5 ft, what
value of c (other than c 0) is needed to make the acceleration zero
for any x at i =1 s? Explain how the acceleration can be zero if the
flowrate is increasing with time.
%3D
%3D
%3D
e12 -
u = Vo(1 -e)
Transcribed Image Text:4.31 As a valve is opened, water flows through the diffuser shown in Fig. P4.31 at an increasing flowrate so that the velocity along the centerline is given by V ui = V(1-e (1 - x/€) i, where u, c, and € are constants. Determine the accel- eration as a function of x and t. If Vo = 10 ft/s and e = 5 ft, what value of c (other than c 0) is needed to make the acceleration zero for any x at i =1 s? Explain how the acceleration can be zero if the flowrate is increasing with time. %3D %3D %3D e12 - u = Vo(1 -e)
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