현의 파동
- 최초 등록일
- 2009.12.21
- 최종 저작일
- 2007.04
- 8페이지/
한컴오피스
- 가격 1,000원
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소개글
The complete set of this experiment was mainly consisted of three parts. The first part was to calculate the linear density of string by simply using a weigh. The second part was then to observe how the number of segment vary when the tension of the string were to be changed. The third part was to observe how the number of segment vary when the linear mass density of the string were to be changed. As a conclusion, we derive the value of the linear density by taking two roots; the first is to use the graph of the number of segment versus the tension and the second is to use the graph of frequency versus the number of segments.
목차
Ⅰ. Preface
1. Background and Intention
2. Brief Objectives of Experiment
Ⅱ. Theory
1. The Standing Wave Equation and Physical Constants
Ⅲ. Equipment Used
Ⅳ. Procedure
1. Pre-experiment : Measuring the Linear Mass Density
2. Experiment : Varying the Tension and the Frequency
Ⅴ. Result and Analysis
1. Pre-experiment : Measuring the Linear Mass Density
2. Experiment : Varying the Tension and the Frequency
Ⅵ. Conclusion
본문내용
By plotting graph which relates the frequency and the number of segments and tension respectively, we could derive the equation which relates the three variables in one single mathematical equation. We could confirm the proportionality constant by making calculation and confirming that the percentage error was only about 6%. Therefore, our final equation is provided that is the frequency, is the length of the string, is the number of segments, is the magnitude of the tension, and is the linear mass density of the string.
Moreover, from simple mathematical algebra, we could deduce that the velocity of the standing wave would be directly proportional to the square root of the tension and the magnitude of the frequency. We could not confirm our deduction experimentally since we had no practical means to measure the velocity of the standing wave. Moreover, we have inversely calculated the linear mass density from the plotting which relates the frequency with the number of segments and tension respectively, although the two values neither coincided with each other nor the actual value of measurement. We infer this error to be the outcome of the accumulation of errors in numerous calibrations, measurements, and rounding. Lastly , it is reasonable to conclude that the more the linear mass density of the string is, the higher the frequency would be.
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