Data Table 1 Trial No. f (Hz)2 egment ength 33.3 5 33.S Data Analysis 1. Plot a graph of Frequency squared vs. Segments square 2. Determine the slope of the best-fit line on the Frequency squared vs. n2 graph. 3. Using the slope, length, and frequency, calculate the linear mass density of the string. (Hint: The slope is equal to). Solve for the linear mass density Calculate the percent difference between this value and the directly measured value and record it in the Lab Report, Table 3 4. Part 2: Variable Tension- keeping frequency and length constant In this variation, the mass per unit length, μ, the vibrating length, L are fixed. The tension, T, is varied to produce the normal modes of vibration. One must obtain a series of anti-nodes, n, by changing the tension on the string. It may not be possible to obtain the fundamental frequency. The mass may be too high for the driver to move the string. We can take our basic equation and solve for the tension. (12) 7125 kil A plot of T versus 1/n, allows comparison from the slope to L, f, or μ 94.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
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Data Table 1
Trial No.
f (Hz)2
egment
ength
33.3
5
33.S
Data Analysis
1. Plot a graph of Frequency squared vs. Segments square
2. Determine the slope of the best-fit line on the Frequency squared vs. n2 graph.
3. Using the slope, length, and frequency, calculate the linear mass density of the string. (Hint:
The slope is equal to). Solve for the linear mass density
Calculate the percent difference between this value and the directly measured value and
record it in the Lab Report, Table 3
4.
Part 2: Variable Tension- keeping frequency and length constant
In this variation, the mass per unit length, μ, the vibrating length, L are fixed. The tension, T, is
varied to produce the normal modes of vibration. One must obtain a series of anti-nodes, n, by
changing the tension on the string. It may not be possible to obtain the fundamental frequency.
The mass may be too high for the driver to move the string.
We can take our basic equation and solve for the tension.
(12)
7125
kil
A plot of T versus 1/n, allows comparison from the slope to L, f, or μ
94.
Transcribed Image Text:Data Table 1 Trial No. f (Hz)2 egment ength 33.3 5 33.S Data Analysis 1. Plot a graph of Frequency squared vs. Segments square 2. Determine the slope of the best-fit line on the Frequency squared vs. n2 graph. 3. Using the slope, length, and frequency, calculate the linear mass density of the string. (Hint: The slope is equal to). Solve for the linear mass density Calculate the percent difference between this value and the directly measured value and record it in the Lab Report, Table 3 4. Part 2: Variable Tension- keeping frequency and length constant In this variation, the mass per unit length, μ, the vibrating length, L are fixed. The tension, T, is varied to produce the normal modes of vibration. One must obtain a series of anti-nodes, n, by changing the tension on the string. It may not be possible to obtain the fundamental frequency. The mass may be too high for the driver to move the string. We can take our basic equation and solve for the tension. (12) 7125 kil A plot of T versus 1/n, allows comparison from the slope to L, f, or μ 94.
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