Physics210 Experiement 1

Physics210 Experiement 1 - m/s^2 The value for uncorrelated...

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Experiment I: Simple Harmonic Oscillator The Simple Pendulum George Fountain III Lab Partner: Christine Instructor: David Friedlander-Holm January 20, 2011 Physics 210: Section 002
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Abstract: The purpose of this experiment was to measure the Earth’s local gravitational acceleration constant, using simple harmonic motion. A spherical ball was released less than about 15° from equilibrium from 20-65 cm height of the pendulum’s horizontal bar in five centimeter increments for a total of 10 trials. The time was measured for 25 complete cycles for each trial. By varying the pendulum’s lengths, the periods would vary for each trial. The average local gravitational acceleration constant during this experiment was 9.248 m/s^2 with an estimated uncertainty in the “little” g value of length of about 20 cm was 9.248 +/- 0.99 m/s^2. Conclusion: The mean calculated local gravity for this experiment was 9.248 m/s^2, with an uncertainty of 0.99 m/s^2. Using the Colby error method, the uncertainly was 8.51 +/- 0.51
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Unformatted text preview: m/s^2. The value for uncorrelated error was used because the time was dependent on the length of the string. Possible sources of error include human error with time start and stop period, degree of angle the ball was released from equilibrium, and deciding when the 25 th period was complete (maximum amplitude from the point of equilibrium). The uncertainty in human error with using the time was about 0.5 seconds. The degree of angle from which the ball was released could be important because the ball could have had more momentum to start out with and its peaks could have been higher, making the time longer than the other trials. Also, when deciding at what point to stop the counting clock varied among trials because it was hard to tell from looking at the ball from the right side of the pendulum. Even with these factors of errors, the relationship between periods, length, and the local gravitational constant....
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Physics210 Experiement 1 - m/s^2 The value for uncorrelated...

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