Run 1, 2, and 3 are for different masses. Does the frequency, f, appear to depend on the mass used? Run 1 and 4 are for the same mass but with different amplitude. Does the frequency, f,appear to depend on the amplitude of the motion? Do you have enough data to draw a firm conclusion
Run 1, 2, and 3 are for different masses. Does the frequency, f, appear to depend on the mass used? Run 1 and 4 are for the same mass but with different amplitude. Does the frequency, f,appear to depend on the amplitude of the motion? Do you have enough data to draw a firm conclusion
College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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- Run 1, 2, and 3 are for different masses. Does the frequency, f, appear to depend on the mass used?
- Run 1 and 4 are for the same mass but with different amplitude. Does the frequency, f,appear to depend on the amplitude of the motion? Do you have enough data to draw a firm conclusion

Transcribed Image Text:**Table of Experimental Data**
**Mass of the iOLab Device**
- \( m = 1.85 \, \text{kg} \)
**Spring Constant**
- \( k = 99.07 \)
| Run # | Total Mass \( m_{\text{tot}} \) (kg) | Time for 4 Cycles (s) | Period \( T \) (s) | Frequency \( f = 1/T \) (Hz) | Angular Frequency \( \omega \) | Theoretical |
|-------|-------------------------------------|------------------------|-------------------|-------------------------------|-------------------------------|-------------|
| 1 | \( m \) | 9.41 | 2.35 | 1.171 | 2.67 | 1.165 |
| 2 | \( m + 0.05 \, \text{kg} \) | 10.48 | 2.62 | 1.72 | 2.39 | 1.149 |
| 3 | \( m + 0.1 \, \text{kg} \) | 11.30 | 2.83 | 1.72 | 2.22 | 1.34 |
| 4 | \( m \) | 9.38 | 2.34 | 1.71 | 2.69 | 1.165 |
**Explanation of Table:**
- **Total Mass \( m_{\text{tot}} \) (kg):** Represents the total mass used in each run.
- **Time for 4 Cycles (s):** The total time taken for 4 oscillation cycles.
- **Period \( T \) (s):** Calculated as the time for 4 cycles divided by 4.
- **Frequency \( f \) (Hz):** The reciprocal of the period \(\left(\frac{1}{T}\right)\).
- **Angular Frequency \( \omega \):** An experimental measurement related to the rate of oscillation.
- **Theoretical:** Predicted values based on theoretical calculations.
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