Lab 7

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University of Texas *

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474

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Physics

Date

Apr 3, 2024

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pdf

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4

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Part 1: Timing matters: Materials 1. Pendulum on a psychics stand 2. Stopwatch Procedure 1. Gather all of the materials to carry out your experiment 2. Take the bob and the line the string up to get your desired angle. (make sure that your string is straight) 3. Make sure that your stopwatch is ready to go. 4. Line up the string and let it go. 5. Press the stop watch at the same time that you let the string go. 6. Watch the string as it goes through one oscillation, and stop it and the timer once it has done one oscillation. 7. Record your data Diagram 248 × 260 Data Table Trials Angle Period 1 10° 1.81s 2 10° 1.23s 3 10° 1.41s
4 10° 1.43s 5 10° 1.36s Avr Period = 1.45s Expected Period = Yes , my trials were mostly consistent, because in the first trial, one oscillation took 1.81 s compared to the other four trials which ranged from 1.23s to 1.43s which looks like a more accurate range with trial 1 being an outlier. The way I fixed this issue was by doing more trials, because the reason why trial 1 had such a long period is probably because I was getting used to the setup and that slowed me down when stopping the timer. And since the rest of my trials were pretty accurate I decided to continue measuring just one oscillation.
Part 2: Swing into action . Procedure 8. Gather all of the materials to carry out your experiment 9. Take the bob and the line the string up to get your desired angle. (make sure that your string is straight) 10. Make sure that your stopwatch is ready to go. 11. Line up the string and let it go. 12. Press the stop watch at the same time that you let the string go. 13. Watch the string as it goes through multiple oscillations, and stop it and the timer once it has done your set number of oscillations. 14. Record your data Data Table1 Trials Angle Time 1 10° 1.25 s 2 10° 1.35 s 3 10° 1.31 s 4 10° 1.78 s 5 10° 1.50 s 6 10° 1 .43 s 7 10° 1.45 s 8 10° 1.30 s 9 10° 1.50 s 10 10° 1.75 s Avr after 3 trials = 1.30 s Avr after 10 trials = 1.46 s Standard Dev after 3 trials = 0.050332229568472 Standard Dev after 10 trials = 0.18103406677566 Standard Uncertainty after 3 trials = 0.029059326290271 Standard Uncertainty after 10 trials = 0.057247998509409 Confidence Interval after 3 trials = ±0.057
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Confidence Interval after 10 trials = ±0.112 Data Table2 Trials Angle Time 1 25° 1.31 s 2 25° 1.58 s 3 25° 1.50 s 4 25° 1.26 s 5 25° 1.41 s 6 25° 1.38 s 7 25° 1.51 s 8 25° 1.28 s 9 25° 1.65 s 10 25° 1.55 s Avr after 3 trials = 1.46 Avr after 10 trials = 1.37 Standard Dev after 3 trials = 0.13868429375143 Standard Dev after 10 trials = 0.13482910994622 Standard Uncertainty after 3 trials = 0.080069414329762 Standard Uncertainty after 10 trials = 0.042636708232331 Confidence Interval after 3 trials = ±0.157 Confidence Interval after 10 trials = ±0.0836 Yes the two sets of measurements have overlapping 95% confidence intervals. See Data above for proof.