일반 물리학실험_Wave on a string

소개글

일반 물리학실험 보고서 입니다. Wave on a string을 주제로 실험하였습니다.

목차

1. Introduction
2. Background Knowledge
3. Equipments
4. Procedure
6. Analysis
7. Conclusion

본문내용

1. Introduction
So far, we have done a lot of experiment about force, motion, and rotation. Now we will consider about another part of mechanics, waves, especially standing waves. It is waves that the wave patterns do not move left or right. Today, we will observe how many segments will appear when we change tension and frequency, and calculate linear mass density by these data and some knowledge.

2. Background Knowledge
When a stretched string is plucked it will vibrate in its fundamental mode in a single segment with nodes on each end. If the string is driven at this fundamental frequency, a standing wave is formed. Standing waves also form if the string is driven at any integer multiple of the fundamental frequency. These higher frequencies are called the harmonics.
Each segment is equal to half a wavelength. In general for a given harmonic, the wavelength is

where L is the length of the stretch string and n is the number of segments in the string.
The linear mass density of the string can be directly measured by weighing a known length of the string. The density is the mass of the string per unit length.

The linear mass density of the string can also be found by studying the relationship between the tension, frequency, length of the string, and the number of segments in the standing wave. To derive this relationship, the velocity of the wave is expressed in two ways.
The velocity of any wave is given by where f is the frequency of the wave. For a stretched string:

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