A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to the image ) (a) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume to 0.00089 m3?     (b) How much pressure was applied to the copper rod?                (c) Calculate the percent change in volume of the copper rod.

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)
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Chapter5: Analysis Of Convection Heat Transfer
Section: Chapter Questions
Problem 5.8P
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  A copper cylinder with a length of 1.5 m and diameter of 4 cm undergoes compression. (refer to the image )

(a) What will be the bulk strain of the copper rod if pressure is applied to reduce its volume

to 0.00089 m3?

 

 

(b) How much pressure was applied to the copper rod?

 

 

 

 

       (c) Calculate the percent change in volume of the copper rod.

 

 

TABLE 4.1
Typical Values for Bulk Modulus, B
Substance
Young's Modulus, Y Shear Modulus, S
Bulk Modulus, B
(Pa)
7 x iũ 10
1.8 х 1010
(Рa)
(Pa)
Aiuminum
2.5 x i0 10
x i0 10
Bone
х 10 10
Brass
9.1 х 10 10
3.5 x 10 10
х 10 10
x 10 10
х 10 10
6.1
Copper
Steel
Tungsten
11 x 10 10
4.2 x 10 10
8.4 x 10 10
х 10 10
2.6 to 3.2 x 10 10
14
20 x 10 10
16
35 x 10 10
14
20
х 10 10
Glass
6.5 to 7.8 x 10 10
5 to 5.5
х 10 10
Quartz
5.6 x 10 10
2.6
10 10
2.7
х 10 10
Rib Cartilage
1.2 x 107
Rubber
0.1 x 107
Tendon
2 х 107
Water
0.21
x 10 10
Mercury
2.8
х 10 10
| |
Transcribed Image Text:TABLE 4.1 Typical Values for Bulk Modulus, B Substance Young's Modulus, Y Shear Modulus, S Bulk Modulus, B (Pa) 7 x iũ 10 1.8 х 1010 (Рa) (Pa) Aiuminum 2.5 x i0 10 x i0 10 Bone х 10 10 Brass 9.1 х 10 10 3.5 x 10 10 х 10 10 x 10 10 х 10 10 6.1 Copper Steel Tungsten 11 x 10 10 4.2 x 10 10 8.4 x 10 10 х 10 10 2.6 to 3.2 x 10 10 14 20 x 10 10 16 35 x 10 10 14 20 х 10 10 Glass 6.5 to 7.8 x 10 10 5 to 5.5 х 10 10 Quartz 5.6 x 10 10 2.6 10 10 2.7 х 10 10 Rib Cartilage 1.2 x 107 Rubber 0.1 x 107 Tendon 2 х 107 Water 0.21 x 10 10 Mercury 2.8 х 10 10 | |
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