Midterm Exam # 1
10107/10 .
Name:
5o\0~o(\
S
You will have 1.25 hours to complete the exam. Please show all work and list any
ass.umptions that you are making in the solution. You must draw a control volume, free
body diagram, and coordinate system if required by the problem to receive credit for your
work.
I. (30 points total) Given the velocity field:
V
=
ety?

etCx
1)J
,where c is a constant.
Ca)
(10
points)
Derive an expression for the acceleration.
(b)
(5
points)
If
c=2.0 1/s
2
,
what is the xcomponent,
ax,
of the acceleration at x=O.I,
y=0.3, t= 1.0?
(c)
(5
points)
What is the xcomponent velocity at
this
point and time?
Cd)
(5
points)
Is the flow steady or unsteady?
(e)
(5
points)
Is the flo w lD, 2D or 3D?
q)
~
~~
ut;\
U~
t
v~
(:1 \
(C\ito)
\
[c\
(j.
\U(

\.,,
2t
(y.
)
~ ~C(I\\)
T
c(
\
x\

C'{L!
('I

t
L
+
i
(
j.
I)
=
"2
(
~. ~
')

(i'?"
( \
)l (
o.
l 
0
L
I
2.
cy;
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 Spring '09
 ACHUTHAN
 Trigraph, oints, idterm E xam

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