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Frequency of the a guitar string

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Introduction

Physics report Purpose: The purpose was to measure the frequency of the string using different weights in order to stretch the string out and to find the connection between. We were also meant to find a differenc between the different strings and what the frequency would be like if one of the factors was to be changed, such as the weight or the string. Theory: Hypothesis: We expect to see a change in frequency when we exchange the strings. We also expect that the recorded frequency would be the same frequency we would get if we calculated it using the formula. Materials: We used a guitar along with various guitar strings (5 in all), a 5kg scale, and various weights and a computer program to measure the frequency. ...read more.

Middle

Table: String m l � L M F=Mg f 1/� f^2 kg m kg/m m kg N Hz E 0,00607 1,03 0,005893 0,645 5 49 68,4 169,687 4678,56 A 0,002744 0,94 0,002919 0,645 5 49 87,9 342,5656 7726,41 D 0,002098 0,93 0,002256 0,645 5 49 106,7 443,2793 11384,89 G 0,000682 1,18 0,000578 0,645 5 49 218,8 1730,205 47873,44 B 0,000451 0,98 0,00046 0,645 5 49 252 2172,949 63504 m= mass of the string l= length of the string �= mass divided by length (of the string) L= vibrating length M= mass of the weight hung onto the string f= frequency The table represents the measurements found after having done the whole experiment. ...read more.

Conclusion

A graph was then created (see underneath) which shows the relation between the different strings and the same weight of 5 kg. The formula for it shows that the frequency of the different strings changes while the weight remains the same. Graph: Conclusion: After the experiment had taken place, we came to the conclusion that the 5 different strings of the guitar had different frequencies and although weight was added to each and every one of them the ratio between them remained the same as without the 5 kg weight. In the end we used the formula to find the correct frequencies for the strings and to find the ratio between the weights and the string frequency. Topic: Physics Group 3 (1.v.) 04.03.2007 ...read more.

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