1130lab2

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University of Guelph *

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1130

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Physics

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Dec 6, 2023

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Lab 2 - Simple Harmonic Motion Methods: In this lab, I used the accelerometer to record the vertical acceleration of the IOlab as it oscillated in the air. The materials needed for this lab were: ● IOlab ● Spring ● Tape ● Snack (35g candy bar) ● Elevated surface to attach IOlab To complete the first part of this lab, I first attached the spring to the hook on the IOlab. Then, I hung the IOlab from a hook in my garage. Next, I gently pulled down on the IOlab which caused it to begin oscillating. After a few seconds I recorded about 15 oscillations. For the second part of the lab, I attached a 35g candy bar to the IOlab using masking tape, then I repeated the first experiment. Part 1 Part 2

Results: Part 1 (Questions 1,2,3 and 4): What is the period of the oscillation shown in the sample data set picture on the previous page? In the sample data set, the first max point is at about 0.50 seconds, the second max point is about 1.20 seconds. This gives a period of about 0.70 seconds. Because there is error involved, we must add uncertainty to the period. The period is (0.70 ± 0.05) seconds. 1) The reason the amplitude of the oscillations decrease with time is due to the kinetic energy in the system being lost. This kinetic energy is turned into thermal energy as a result of the frictional forces acting on the system. 2) The first max point is at about 0.50s, the second max point is at about 1.26s. This makes our period about 0.76s. Because of the error involved, we have to add uncertainty to the period. I estimated this uncertainty to be 0.05s. Therefore our period is (0.76 ± 0.05) seconds. The frequency is equal to # of cycles/time. The number of cycles will have some uncertainty to it because we cannot find the exact number of cycles. 𝑓 = (12. 0 ± 0. 1) ÷ 9. 01032𝑠 𝑓 = (1. 33 ± 0. 01)𝐻𝑧 3) Unlike the amplitude, the period of the oscillations does not decrease with time. To determine this, I looked at the period of two oscillations at different points in time. Looking at the screenshots below, we can see that the period, underlined in red, does not change over time.

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Part 2 Based on the graph, we can see that T is approximately 0.90 seconds. We also need to add uncertainty so, T = (0.90 ±0.05)seconds

Conclusion In the first part of this lab, I attached my IOlab to a spring, anf hung the IOlab from an elevated hook. I then put the IOlab into harmonic motion by pulling down on it. I measured the vertical acceleration of the IOlab as it was oscillating. With this data, I found the period to be (0.76 ± 0.05)s. I then found the frequency which was . Next, I analyzed my graph and (1. 33 ± 0. 01)𝐻𝑧 found that the period of the oscillations did not change with time. Then, I calculated the spring constant which I found to be (14 ±1.8)n/m. For the second part of the lab, I first calculated the theoretical mass of my IOlab with the snack attached. I found this to be (240±5)g. I then attached the snack to my IOlab and recorded the oscillations once again. Finally I calculated the mass of my snack which I found to be (82 ±6)g. Some sources of uncertainty in this experiment could be external forces acting on the IOlab as it is oscillating, such as wind. Another source could be vibrations caused by sound or people walking on the floor above the ceiling the IOlab was attached to. To make this experiment more accurate, I would set up my IOlab in a more controlled environment to mitigate any external forces that could cause uncertainty in my data.

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