Chapter 15, Problem 8P

To determine

Using MATLAB create a table which shows the relationship among units of pressure in $\text{Pa, and psi}$ in the range of $10\text{kPa}\text{to}\text{100}\text{kPa}$ by an increment of $0.5\text{kPa}$.

Explanation of Solution

Given data:

The range of pressure is $10\text{kPa}\text{to}\text{100}\text{kPa}$ by an increment of $\text{0}\text{.5}\text{kPa}$.

Formula used:

Formula used to calculate the unit of pressure in kilo Pascal to psi is,

$\text{psi}=\left(145.038\times {10}^{-3}\right)\times P\left(\text{kPa}\right)$ (1)

Here,

$P$ is the pressure in kilo Pascal.

Calculation:

The steps to create the table which shows the relationship among units of pressure in Pascal and psi using MATLAB are as follows,

• Generate a range of values of pressure in Pascal $\left(10\text{kPa}\text{to}\text{100}\text{kPa}\right)$ by an increment of $0.5\text{kPa}$.
• Use equation (1) to find the unit of pressure in psi.
• Print the values of pressure in units of psi by varying the range of pressure $\left(10\text{kPa}\text{to}\text{100}\text{kPa}\right)$ by an increment of $0.5\text{kPa}$.

In the MATLAB script editor type the code as follows and save it with name of “unitconversion” as .m file, then run the code to find the relationship between the pressure in Pascal and psi,

P_kPa=10:0.5:100;

P_psi=(145.038e-03)*P_kPa;

format bank

fprintf('\n------------------------------------------')

fprintf('\n\t\tP(kPa)\t\tP(psi)')

fprintf('\n-------------------------------------------\n')

disp([P_kPa',P_psi'])

fprintf('-------------------------------------------')

In the MATLAB command window, the output will be displayed as follows,

------------------------------------------

       P(kPa)    P(psi)

-------------------------------------------

         10.00          1.45

         10.50          1.52

         11.00          1.60

         11.50          1.67

         12.00          1.74

         12.50          1.81

         13.00          1.89

         13.50          1.96

         14.00          2.03

         14.50          2.10

         15.00          2.18

         15.50          2.25

         16.00          2.32

         16.50          2.39

         17.00          2.47

         17.50          2.54

         18.00          2.61

         18.50          2.68

         19.00          2.76

         19.50          2.83

         20.00          2.90

         20.50          2.97

         21.00          3.05

         21.50          3.12

         22.00          3.19

         22.50          3.26

         23.00          3.34

         23.50          3.41

         24.00          3.48

         24.50          3.55

         25.00          3.63

         25.50          3.70

         26.00          3.77

         26.50          3.84

         27.00          3.92

         27.50          3.99

         28.00          4.06

         28.50          4.13

         29.00          4.21

         29.50          4.28

         30.00          4.35

         30.50          4.42

         31.00          4.50

         31.50          4.57

         32.00          4.64

         32.50          4.71

         33.00          4.79

         33.50          4.86

         34.00          4.93

         34.50          5.00

         35.00          5.08

         35.50          5.15

         36.00          5.22

         36.50          5.29

         37.00          5.37

         37.50          5.44

         38.00          5.51

         38.50          5.58

         39.00          5.66

         39.50          5.73

         40.00          5.80

         40.50          5.87

         41.00          5.95

         41.50          6.02

         42.00          6.09

         42.50          6.16

         43.00          6.24

         43.50          6.31

         44.00          6.38

         44.50          6.45

         45.00          6.53

         45.50          6.60

         46.00          6.67

         46.50          6.74

         47.00          6.82

         47.50          6.89

         48.00          6.96

         48.50          7.03

         49.00          7.11

         49.50          7.18

         50.00          7.25

         50.50          7.32

         51.00          7.40

         51.50          7.47

         52.00          7.54

         52.50          7.61

         53.00          7.69

         53.50          7.76

         54.00          7.83

         54.50          7.90

         55.00          7.98

         55.50          8.05

         56.00          8.12

         56.50          8.19

         57.00          8.27

         57.50          8.34

         58.00          8.41

         58.50          8.48

         59.00          8.56

         59.50          8.63

         60.00          8.70

         60.50          8.77

         61.00          8.85

         61.50          8.92

         62.00          8.99

         62.50          9.06

         63.00          9.14

         63.50          9.21

         64.00          9.28

         64.50          9.35

         65.00          9.43

         65.50          9.50

         66.00          9.57

         66.50          9.65

         67.00          9.72

         67.50          9.79

         68.00          9.86

         68.50          9.94

         69.00         10.01

         69.50         10.08

         70.00         10.15

         70.50         10.23

         71.00         10.30

         71.50         10.37

         72.00         10.44

         72.50         10.52

         73.00         10.59

         73.50         10.66

         74.00         10.73

         74.50         10.81

         75.00         10.88

         75.50         10.95

         76.00         11.02

         76.50         11.10

         77.00         11.17

         77.50         11.24

         78.00         11.31

         78.50         11.39

         79.00         11.46

         79.50         11.53

         80.00         11.60

         80.50         11.68

         81.00         11.75

         81.50         11.82

         82.00         11.89

         82.50         11.97

         83.00         12.04

         83.50         12.11

         84.00         12.18

         84.50         12.26

         85.00         12.33

         85.50         12.40

         86.00         12.47

         86.50         12.55

         87.00         12.62

         87.50         12.69

         88.00         12.76

         88.50         12.84

         89.00         12.91

         89.50         12.98

         90.00         13.05

         90.50         13.13

         91.00         13.20

         91.50         13.27

         92.00         13.34

         92.50         13.42

         93.00         13.49

         93.50         13.56

         94.00         13.63

         94.50         13.71

         95.00         13.78

         95.50         13.85

         96.00         13.92

         96.50         14.00

         97.00         14.07

         97.50         14.14

         98.00         14.21

         98.50         14.29

         99.00         14.36

         99.50         14.43

        100.00         14.50

-------------------------------------------

Conclusion:

Thus, the table which shows the relationship among units of pressure in $\text{kPa,and psi}$ in the range of $10\text{kPa}\text{to}\text{100}\text{kPa}$ by an increment of $\text{0}\text{.5}\text{kPa}$ is created using MATLAB.