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FLUID MECHANICS

 CENTER OF PRESSURE

 

 

RESULTS AND DISCUSSION

 

CENTER OF PRESSURE EXPERIMENT DATA

 

PARAMETER

NOTATION

VALUE

UNITS

Width of the end face

B

0.075

m

Height of the lever arm

D

0.1

m

length of the lever arm

L

0.275

m

Height to pivot point

H

0.2

m

Unit weight of water

γ

9807

kN/m3

Table 1 given data for the calculations

 

 

MASS (ADDED) (m)

EXPERIMENTAL MOMENT

DEPTH OF SUBMERGENCE (d)

HYDROSTATIC FORCE

DISTANCE CENTER OF PRESSURE (h)

THEORETICAL MOMENT

kg

N-m

m

N

m

N-m

0.05

0.1348875

0.046

778.18545

0.023

0.143704913

0.1

0.269775

0.065

1.553796563

0.0325

0.27709372

0.15

0.4046625

0.08

2.35368

0.04

0.4079712

0.2

0.53955

0.094

3.24954945

0.047

0.548090674

0.25

0.6744375

0.107

4.210512863

0.0535

0.691927614

0.3

0.809325

0.119

5.207884763

0.0595

0.834997524

0.35

0.9442125

0.13

6.21518625

0.065

0.973712513

0.37

0.9981675

0.136

6.8021352

0.068

1.052063578

0.39

1.0521225

0.14

7.208145

0.07

1.1052489

0.4

1.0791

0.143

7.520375363

0.0715

1.145603847

 

Table 2 Hydrostatic force, Experimental Moment and Theoretical Moment

 

 

 

Figure 1Plot theoretical moment vs. experimental moment

 

 Table 2 shows the experimental data calculated. The mass were converted from grams into kg. Based on the collected data, the experimental moment, hydrostatic force and theoretical moment have been computed. Figure 1 shows the plot between theoretical moment and experimental moment.

 

CONCLUSION

 

Experimental moment and theoretical moment were done by using the theories and methods taught during labortary lectures. Fig 1 shows the linear regression plot. The linear equation obtained was MTheoretical = 1.059 Mexperimental + (-0.013). The squared R value is 0.999. It give better results.

The maximum and minimum experimental moment is 1.0791 N-m and 0.134 N-m respectively. Hence, it directly depends on the mass. More the mass more will be the moment. The maximum and minimum theoretical moment is 1.145 N-m and 0.143 N-m respectively.