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Period (s) Length (m) 0.40 0.40 0.40 1.25 1.29 1.28 1.24 1.26 1.56 0.40 .0.40 0.60 0.80 1.00 1.79 2.01 1.20 0.40 0.40 0.40 2.19 1.27 1.29 1.25 0.40 1.26

Period (s) Length (m) 0.40 0.40 0.40 1.25 1.29 1.28 1.24 1.26 1.56 0.40 .0.40 0.60 0.80 1.00 1.79 2.01 1.20 0.40 0.40 0.40 2.19 1.27 1.29 1.25 0.40 1.26

College Physics
College Physics
11th Edition
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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Graph length vs period (Please include an explanation of how you did this, I'm so lost right now)
### Pendulum Experiment Data This table presents experimental data on the relationship between the length of a pendulum and its period of oscillation. The length (in meters) and the corresponding period (in seconds) are recorded. #### Data Table: | Length (m) | Period (s) | |------------|------------| | 0.40 | 1.25 | | 0.40 | 1.29 | | 0.40 | 1.28 | | 0.40 | 1.24 | | 0.40 | 1.26 | | 0.60 | 1.56 | | 0.80 | 1.79 | | 1.00 | 2.01 | | 1.20 | 2.19 | | 0.40 | 1.27 | | 0.40 | 1.29 | | 0.40 | 1.25 | | 0.40 | 1.26 | ### Analysis 1. **Consistent Lengths**: - Several measurements are taken with the pendulum length of 0.40 meters to ensure repeatability and accuracy. - The period for a 0.40 meter pendulum ranges from 1.24 seconds to 1.29 seconds. 2. **Variable Lengths**: - Additional measurements are taken with increased lengths (0.60m, 0.80m, 1.00m, 1.20m) to observe changes in the period. - As the length of the pendulum increases, the period also increases, indicating a direct relationship between the length and the period. ### Graphical Representation (Not Present) If a graph were to be created from this data, the length of the pendulum would be plotted on the x-axis (independent variable) and the period on the y-axis (dependent variable). We would expect to see a positive correlation, illustrating that the period increases with the increase in length. ### Conclusion This data is useful in understanding the basic principles of pendulum motion, specifically the dependency of the period of a pendulum on its length. This principle aligns with the theoretical formula for the period of a simple pendulum, T = 2π√(L/g), where
Transcribed Image Text:### Pendulum Experiment Data This table presents experimental data on the relationship between the length of a pendulum and its period of oscillation. The length (in meters) and the corresponding period (in seconds) are recorded. #### Data Table: | Length (m) | Period (s) | |------------|------------| | 0.40 | 1.25 | | 0.40 | 1.29 | | 0.40 | 1.28 | | 0.40 | 1.24 | | 0.40 | 1.26 | | 0.60 | 1.56 | | 0.80 | 1.79 | | 1.00 | 2.01 | | 1.20 | 2.19 | | 0.40 | 1.27 | | 0.40 | 1.29 | | 0.40 | 1.25 | | 0.40 | 1.26 | ### Analysis 1. **Consistent Lengths**: - Several measurements are taken with the pendulum length of 0.40 meters to ensure repeatability and accuracy. - The period for a 0.40 meter pendulum ranges from 1.24 seconds to 1.29 seconds. 2. **Variable Lengths**: - Additional measurements are taken with increased lengths (0.60m, 0.80m, 1.00m, 1.20m) to observe changes in the period. - As the length of the pendulum increases, the period also increases, indicating a direct relationship between the length and the period. ### Graphical Representation (Not Present) If a graph were to be created from this data, the length of the pendulum would be plotted on the x-axis (independent variable) and the period on the y-axis (dependent variable). We would expect to see a positive correlation, illustrating that the period increases with the increase in length. ### Conclusion This data is useful in understanding the basic principles of pendulum motion, specifically the dependency of the period of a pendulum on its length. This principle aligns with the theoretical formula for the period of a simple pendulum, T = 2π√(L/g), where
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