Engineering Fundamentals: An Introduction to Engineering, 4th ed.c

18.2 Linear Models 593

2

5

C

E

Density (kg/m

3 )

Density (kg/m

3 )

Air density (kg/m^3 )

A B C

D

E

0.590

0.526

Linear approximation

Actual

Actual value Approximate value

7000

0

0

0.1

0.2

0.3

0.4

0.5

0.6

0.7

0.8

0.9

1

1.1

1.2

1.3

1000 2000 3000 4000 5000

Altitude (m)

6000 7000 8000 9000 10000

7300 8000 Altitude (m)

TABLE 10.4 Variation of Standard Atmosphere

with Altitude

Atmospheric Air Density

Altitude (m) Pressure (kPa) (kg /m

3

)

0 (sea level) 101.325 1.225

500 95.46 1.167

1000 89.87 1.112

1500 84.55 1.058

2000 79.50 1.006

2500 74.70 0.957

3000 70.11 0.909

3500 65.87 0.863

4000 61.66 0.819

4500 57.75 0.777

5000 54.05 0.736

6000 47.22 0.660

7000 41.11 0.590

8000 35.66 0.526

9000 30.80 0.467

10,000 26.50 0.413

11,000 22.70 0.365

12,000 19.40 0.312

13,000 16.58 0.266

14,000 14.17 0.228

15,000 12.11 0.195

Source:Data from U.S. Standard Atmosphere (1962)

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