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=
=
L
7100 mm
length of the column
10
9
Pa
E
=
71
×
=
modulusofelasticity
Determine the maximum load
P
that the column can carry if the maximum stress
is not to exceed120
10
6
Pa.
×
18.
h
o
Q
h
H
Bernoulli'sequation for fluid flowinanopen channel with a small bump is
Q
2
2
gb
2
h
0
+
Q
2
2
gb
2
h
2
h
0
=
+
h
+
H
where
2m
3
/s
Q
=
1
.
=
volume rate of flow
81 m/s
2
=
.
=
g
9
gravitational acceleration
b
=
1
.
8m
=
width of channel
h
0
=
0
.
6m
=
upstreamwater level
H
=
0
.
075 m
=
height of bump
h
=
water level above the bump
Determine
h
.
19.
The speed
v
of aSaturn V rocket in vertical flight near the surface of earth can
be approximatedby
M
0
M
0
−
v
=
u
ln
−
gt
mt
where
u
=
2510 m/s
=
velocity of exhaust relative to the rocket
10
6
kg
M
0
=
2
.
8
×
=
mass of rocket atliftoff
10
3
kg/s
˙
m
=
13
.
3
×
=
rate of fuel consumption
81 m/s
2
g
=
9
.
=
gravitational acceleration
t
=
time measured from liftoff
Determine the time when the rocket reaches the speed of sound (335 m/s).
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