We used a bucket with a whole at the bottom. We filled it up to a certain height and measured it. We the uncovered the initially covered whole and let 200 mL of water flow out of the bucket, while recording the time.
These were the measured times for 200mL to flow out of the bucket:
The measured values during the experiment were:
Volume emptied: 200 ± 10 mL
Height of the water: 13.6 ± 0.1 cm
Diameter of the hole: 0.60 ± 0.1 cm
We then calculated the theoretical time to empty 200mL:
We then calculated the percent error of the time to drain 200mL using the equation from above and tabulated the results:
Assuming that the diameter we measured was wrong, we calculated the "actual diameter" of the whole. I used the average time to drain from the experiment results:
Conclusion:
When I compared the theoretical value to the experimental value, it did not agree with the uncertainty. The experimental time to drain the fluid was almost twice that of the theoretical value. None of the experimental values agreed with the theoretical value of 4.33 ± 1.69 seconds. Although the experimental values were not accurate, they were precise because the values were all within a second. This large experimental error must have come from the reaction time of the person taking time to start the timer when starting the experiment and the person telling the time taker to stop the timer. Another source of error was that the dh of the bucket as the water drained. We assumed the dh to be negligible compared to the height of the water in the bucket. Our percent error in the drill bit's diameter was 36.7%.
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