8379243

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Ohio University, Main Campus *

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2001

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Physics

Date

Dec 6, 2023

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docx

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1

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Name: Date: Graded Assignment Lab Report: Harmonic Motion Answer the questions, using complete sentences. When you have finished, submit this assignment to your teacher by the due date for full credit. Total score: ____ of 25 points (Score for Question 1: ___ of 14 points) • Did the period of the pendulum swing depend on the mass of the bob? On the length of the string? How does your data relate to the pendulum equation? You need not include your data tables and graphs, but you should explain your answer based on the information in your data tables and graphs. Answer: The formula for a pendulum's period of oscillation: T=2π √l/g T denotes the oscillation's period, and l denotes the pendulum's length. The term "g" refers to the gravitational acceleration (9.81 m/s2). It is clear that altering the displacement or the mass of the bob has no bearing whatsoever on the solution to the equation. However, if you alter the length, you can see that the fraction under the root increases, making the root's total value larger. This causes the oscillation's period to increase. Type your answer here. (Score for Question 2: ___ of 11 points) • Calculate the slope of the line in your graph of the square of the period of the pendulum vs. length of the string .Galileo figured out the equation that describes the behavior of a pendulum. If you square both sides of the equation, you will find that the slope of the line is related to the acceleration due to gravity (g). Specifically, . Use your data to calculate g. How does it compare with the accepted value of ? Calculate the percent error and show your work. Answer: Type your answer here. The time is provided by: T=2π√ I/g Squaring this results in: 4π^2 I/g This period can be plotted as a function of length I and provides: T=ml where the slope m is: 4π^2/g=4.0243
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