Speed of Sound Measurement
Determination of the speed of sound in air using acoustic resonance in a variable-length column. 가변 길이 공기 기둥의 음향 공명으로 공기 중 음속을 측정합니다.
Project Overview프로젝트 개요
This experiment utilizes the phenomenon of acoustic resonance to measure the speed of sound $v$ in air. By adjusting the length of an air column driven by a tuning fork of known frequency $f$, standing waves are generated at specific harmonic lengths.이 실험은 음향 공명 현상을 이용해 공기 중 음속 \(v\)를 측정합니다. 알려진 주파수 \(f\)의 소리굽쇠로 공기 기둥 길이를 조절하면 특정 고조파 길이에서 정상파가 형성됩니다.
The relationship $v = f\\lambda$ allows for the calculation of wave speed by identifying the nodes and antinodes of the standing wave pressure distribution.\(v=f\\lambda\) 관계를 이용해 정상파의 마디/배를 식별하고 파동 속도를 계산합니다.
Key Concepts Investigated탐구한 핵심 개념
Standing Wave Resonance정상파 공명
Identified the fundamental frequency and higher harmonics in an open-closed pipe system, satisfying the boundary condition $L = \frac{n\lambda}{4}$ (for odd $n$).
End Correction끝단 보정
Accounted for the "end correction" factor—the fact that the pressure antinode forms slightly outside the open end of the tube—to improve measurement accuracy.
Temperature Dependence온도 의존성
Compared experimental results with the theoretical speed of sound, which varies with temperature as $v \approx 331 + 0.6T$ m/s.
Full Documentation전체 문서
The report includes data on harmonic lengths, resonance calculations, and temperature adjustments.