The University of Michigan
Department of Mechanical Engineering
ME 320  Section 1
Homework #6  Due Friday October 24, 2008 by 10:00am
Problem 1:
Problems
5.41
and
5.51
of the text.
Problem 2:
(a)
Problem
5.40
of the text.
(b)
The results of a wind tunnel test to determine the drag on a body are summarized below.
The upstream (section 1) velocity is uniform at 100 ft/s.
The static pressures are given by
p
1
=
p
2
= 14
.
7 psia. The downstream velocity distribution, which is symmetrical about the
centerline is given by
u
=
100

30
parenleftbigg
1


y

3
parenrightbigg

y
≤
3ft
u
=
100

y

>
3ft
where
u
is the velocity in ft/s and
y
is the distance on either side of the centerline in feet.
Assume that the body shape does not change in the direction normal to the paper. Calculate
the drag force (reaction force in
x
direction) exerted on the air by the body per unit length
normal to the plane of the sketch.
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Problem 3:
(a)
Problems
5.56
and
5.58
of the text.
(b)
A cart which can roll freely in the xdirection deflects water from a parallel jet (in the
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 Spring '08
 IM
 Mechanical Engineering, Force, crosssectional area A., jet exit plane, downstream velocity distribution, wind tunnel test, plastic toy rocket

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