Our second lab we did was investigating fluid dynamics using Bernoulli's Equation. Our job was to calculate the amount of time it would take to empty a specific volume of water from a larger bucket with the setup as shown:
Using a stopwatch, we measured how long it took to fill up a 200 mL beaker, and repeated the measurement to calculate error. Numbers are in seconds
1. 3.82
2: 4.75
3: 4.35
4: 4.30
5: 4.38
6: 4.52
Using error calculations, we came up with a average time of 4.35 +/- .31
The height of water in the bucket was 144.5 mm +/- 0.5mm
The area of the drain hole was 3.85e-5 m^2 +/-0.025e-5
Calculating the theoretical time with uncertainty yielded a time of 3.48s +/- .39
Comparing the theoretical with the actual value, we have a difference of 25% which is acceptable considering the amount of error introduced from drain hole inaccuracies, and delay in operating the stopwatch.
Calculating backwards, the actual drain hole diameter is 14% smaller than the measured 7mm hole at 5.99mm
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