Physics EE (Grade A)

본 문서는 2019년 May Session에서 A를 받은 Physics EE입니다. 많은 학생들은 EE 과목 혹은 주제를 정할때 과학 (물리, 화학 등)에서 고득점이 어려울 것 같다는 이유로 기피를 합니다. 그러나 IBO에서 무엇을 요구하는지 인지하고 자신의 실험을 글로 잘 풀어나갈 수만 있다면 특출난 주제가 아니더라도 좋은 점수를 받을 수 있습니다.

제 Extended Essay의 주제는 “Modeling the Frequency-Tension Relationship of a Rubber Band”로 쉽게 말해 고무줄을 땡길수록 튕길때 음정이 어떻게 변하는지 알아보았습니다. IB 물리를 조금만 공부해도 이것은 현악기의 현길이, 장력, 질량을 연결 짓는 메르센의 법칙과 연관 있다는걸 알아챌 겁니다. 저는 여기서 고무줄은 현악기와 달리 장력을 추가할수록 늘어난다는 차이를 제 “twist”로 추가해서 새로운 공식을 유도했고, “저만의” EE를 강조했습니다.

이렇게 주제가 엄청 특출나지 않더라도 흔히 접할 수 있는 현상에서 자신만의 “개인성”을 강조한 후 IB가 좋아하는 analysis와 evaluation을 잘하고, EE grading scheme에서 하나하나 체크해가며 글을 다듬어나간다면 충분히 A를 받을 수 있다고 생각합니다. 제가 애정을 가지고 썼던 EE가 도움이 되길 바랍니다.

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Introduction

The study of string instruments, though interdisciplinary in nature, relies profoundly on the laws of physics. While its research embodies a vast array of areas, pitch—specifically the frequency of notes produced—remains an essential component of study; no matter how beautiful an instrument’s timbre may be, performance quality plummets with poor intonation. Therefore, instrument makers strive for the perfect combination of length, tension, and the composition of strings to produce instruments fitting of the player’s tastes (Ward).

Mersenne’s law depicts the relationship between string tension, linear density, length, and the frequency of the standing waves on a string with two fixed ends, or nodes. While this law is prevalent in the construction of string instruments like the violin, research on the extent to which this law applies to other materials seldom associated with musical instruments is limited (Curtin and Rossing).

Many would have had the experience of plucking a stretched rubber band, altering the length of the material, and listening to the surprising variety of the pitch of the sound produced (rubber bands will refer to cut rubber bands rather than loops for the rest of the paper). However, rubber bands have inherently different properties from its string counterparts; thus, their adherence to Mersenne’s law is questionable. In this paper, the author investigated the effect of tension on the fundamental frequency of a plucked rubber band, observing the extent to which Mersenne’s law applies to this notoriously abnormal material. Furthermore, as the linear density of the rubber band varied significantly with tension, the effect of tension on the change in linear density was also investigated, and data from the two experiments were jointly analyzed to model the fundamental frequency-tension relationship of the sound produced.

Research Question:

How does the tension in a rubber band affect the fundamental frequency of its standing wave?

• 총 페이지수: 45 pages
• 과목명: Physics
• 주제: How does the tension in a rubber band affect the fundamental frequency of its standing wave?
• The file is in PDF format.