(06xx2012) Testing V

Purpose:

After we have secure a majority of water leakage by applying the inner tube configuration we tested a new pressure sensor. Unfortunately we experienced a structural failure on the lid after achieving 60kPa of pressure. We have recorded the pressure in the following video and graph.

Video:

Figure 1: Pressure vs Time 

Figure 2: Pressure vs Time on different interval

Analysis and Uncertainty

Table 1: Recorded Pressure and Height

Pressure (kPa)	Height (m)
61.5 ± 5	6 ± 0.3

Figure 3: Pressure vs Time with Linear Fitting

We have recorded a maximum pressure of 61.5 kPa and a corresponding height of 6 meter, by the equation:

 P = P₀ + ρgh

We should get:

P/h = ρg

Therefore we can compare experimental ρg with theoretical value

Table 2: Comparison of Experimental and Theoretical Data

Experimental ρg (N/m3)	Theoretical ρg (N/m3)	Error (%)
10250 ± 488	9810	4.49%

Uncertainty = Largest value of ρg - smallest value of ρg

Our experimental uncertainty is within the range with the theoretical value. Our experimental value is also within 5% of the theoretical value.

We attribute our errors to the pressure sensor. The pressure sensor that we utilized in this project is design for gas pressure and not for fluid and therefore we believe that the majority of our error can be attributed to the sensor.

A theoretical model is provide below:

from pylab import *
import re

x = arange(0,1,.01)
y = 101325*x/(9810)

plot(x,y)

xlabel('Pressure (atm)')
ylabel('Depth (m)')


title(r'$Pressure(h)$')


show()

Figure 4: Theoretical Height vs. Pressure