The purpose of this lab is to devise a correlation between that of the data we have collected from our experiment and compare it to that of theory. In this experiment 3 different tests were done in order to test this theory. The first test was to tie a balloon on the end of a manometer and measure the pressure at different depths in a large beaker filled with water. The next test was the same thing, but without the balloon on the end of the manometer. For the final test a pressure gauge was used to measure the pressure at different depths in the water. The data collected from each experiment was the depth of the object and its deflection. To find out the theoretical pressure for the experiment this equation will be used: ∆P=γH2O÷Depth
The theoretical results will then be compared to the measured results, determining the correlation between both sets of data in order to prove whether or not this experiment is capable of proving the theory.
1) Fill the cylinder with water and adjust the manometer to read zero. 2) For first test tie a balloon to the end of the tube that gives the manometer reading, and fill it with air. 3)Immerse the balloon in the water and measure the deflection at each specific depth (Try to get as close as you can to: 11, 9, 7, 5, 3, and 0 inches). 4)When finished with the first test remove the balloon and proceed to second test. 5) For the second test immerse the (balloon free) manometer tube in water, also measuring each specific depth and deflection. 6) For the third test instead of measuring with the manometer use a pressure gauge to measure your deflection (make sure you set the gauge to zero before testing).
Test #1 Example
Depth: 3.5 inches
Deflection: 1.7 inches
P. Theory: γH2O×3.512=18.2lbft2
P. Measured: 1.712×γManometer×γH2O=16.9lbft2
Test #2 Example
Depth: 5 inches
Deflection: 2.1 inches
P. Theory: γH2O×512=26lbft2
P. Measured: 2.112×γManometer×γH2O=20.8lbft2
Test #3 Example
Depth: 3 inches
Deflection: 1.8 ozin2
P. Theory: γH2O×312=15.6lbft2
P. Measured: 1.812×γPressure Gauge×γH2O=17.9lbft2
γManometer & γPressure Gauge=1.91 lbft3
Analysis and Conclusion:
Overall I think results of this experiment turned out fairly well. From looking at the graph I noticed that as we moved on to the second and third tests there seemed to be less and less error. In general I think that human error had a huge impact on this lab. If we could have done a few trials for each test I think that the outcome of our measured results would be a lot closer to those of the theoretical results.
What we were attempting to do with this lab was take the theoretical results of our experiment and get them as close as we could to the measured results with little percent error in order to determine if this test was reliable. By comparing some of the results I can safely say that this test is valid. Some of the data comparisons are far off, but others are within 2 percent error and I know for a fact that better results can be acquired.