1.1 A pressure of 2
飩?/p>
10
6
N/m
2
is applied to a mass of water that initially filled a
1,000cm
3
volume. Estimate its volume after the pressure is applied.
灏?/p>
2
飩?/p>
10
6
N/m
2
鐨勫帇寮烘柦鍔犱簬鍒濆浣撶Н涓?/p>
1,000cm
3
鐨勬按涓婏紝璁＄畻鍔犲帇鍚庢按鐨勪綋
绉�?/p>
(999.1cm
3
)
1.2
As
shown
in
Fig.1-9,
in
a
heating
system
there is a dilatation water tank. The whole volume of
the
water
in
the
system
is
8m
3
.
The
largest
temperature
rise
is
50
0
C
and
the
coefficient
of
volume
expansion
is
飦?/p>
v
=0.0005
1/K,
what
is
the
smallest cubage of the water bank?
濡傚浘
1-10
鎵�绀猴紝
涓�閲囨殩绯荤粺鍦ㄩ《閮ㄨ涓�鑶ㄨ儉姘?/p>
绠憋紝
绯荤粺鍐呯殑姘存�讳綋绉负
8m
3
锛?/p>
鏈�澶ф俯鍗?/p>
50
0
C
锛?/p>
鑶?/p>
鑳�绯绘暟
飦?/p>
v
=0.005
1/K
锛屾眰璇ユ按绠辩殑鏈�灏忓绉紵
(0.2m
3
)
Fig. 1-9
Problem 1.2
1.3
When
the
increment
of
pressure
is
50kPa,
the
density
of
a
certain
liquid
is
0.02%. Find the bulk modulus of the liquid.
褰撳帇寮哄閲忎负
50kPa
鏃讹紝鏌愮娑蹭綋鐨勫瘑搴﹀鍔?/p>
0.02%
銆傛眰璇ユ恫浣撶殑浣撶Н妯￠噺銆?/p>
( 2.5
飩?/p>
10
8
Pa)
1.4 Fig.1-10 shows the cross-section of an oil
tank,
its
dimensions
are
length
a=0.6m,
width
b=0.4m, height H=0.5m. The diameter of nozzle
is
d=0.05m,
height
h=0.08m.
Oil
fills
to
the
upper edge of the tank, find:
(1)
If
only
the
thermal
expansion
coefficient
飦?/p>
v
=6.5
飩?/p>
10
-4
1/K
of
the
oil
tank
is
considered, what is the volume
Fig.1-10
Problem 1.4
of oil spilled from
the tank when the temperature of oil increases
from
t
1
=-20
0
C to
t
2
=20
0
C?
(2)
If
the
linear
expansion
coefficient
飦?/p>
l
=1.2
飩?/p>
10
-5
1/K
of
the
oil
tank
is
considered, what is the result in this case?
鍥?/p>
1-10
涓轰竴娌圭妯埅闈紝鍏跺昂瀵镐负闀?/p>
a=0.6m
銆佸
b=0.4m
銆侀珮
H=0.5m
锛屾补
鍢寸洿寰?/p>
d=0.05m
锛岄珮
h=0.08m
銆傜敱瑁呭埌榻愭补绠辩殑涓婂锛屾眰锛?/p>
(1)
濡傛灉鍙�冭檻娌规恫鐨勭儹鑶ㄨ儉绯绘暟
飦?/p>
v
=6.5
飩?/p>
10
-4
1/K
鏃讹紝娌规恫浠?/p>
t
1
=-20
0
C
涓婂崌鍒?/p>
t
2
=20
0
C
鏃讹紝娌圭涓湁澶氬皯浣撶Н鐨勬补婧㈠嚭锛?/p>
(2)
濡傛灉杩樿�冭檻娌圭鐨勭嚎鑶ㄨ儉绯绘暟
飦?/p>
l
=1.2
飩?/p>
10
-5
1/K
锛岃繖鏃剁殑鎯呭喌濡備綍锛?/p>