The following equations were used in the experiment:
Setup and Purpose:
The setup of the experiment
Height of the water was always measured to 14cm
The procedure of the experiment:
Volume emptied to 300mL
DATA:
Using this procedure, the time was calculated.
Using this procedure, the time was calculated.
|
Trial
|
Time
(s)
|
|
1
|
14.91
|
|
2
|
13.86
|
|
3
|
13.20
|
|
4
|
13.55
|
|
5
|
14.26
|
|
6
|
13.39
|
|
Average
Time (s) = 13.86s
|
|
Analysis
Calculation for theoretical time with Error Propagation:
The theoretical error
was calculated to 9.225s ± 2.195s. This range of uncertainty did not coincide
with any of the experimental values. Comparing the 6 trials the closest values
was off by approximately 2 seconds. Using the percent error calculation: ((|theoretical
– actual|)/actual)*100= error %, will show how close each trial was to the
theoretical value.
There could be many possible reasons but one factor that led to such a high error could have come from the the measurement of the diameter of the hole. The hole of the bucket for our experiment did not seem to resemble a perfect circle. The measurement for the diameter always seem to be slightly different when comparing to the different calibers being used.
This factor leads us to the next part of the experiment in assuming that the diameter being inaccurate. What the actual diameter should be based on the results is as follows:
CONCLUSION:
Although there were factors that led to the experiment to have quite a bit of error, the results do somewhat verify Bernoulli equation with the reason being that the diameter of the bucket to not being a perfect circle. If there were more accurate measurements and tools take an exact value of the are of the hole, then there could be a more exact value for the area leading to a more precise value for the time. The diameter was suggested to be off by 25% from the true value. This makes sense, since the values of the time seemed to be off with high values as well.
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