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Standing waves form when waves reflect and interfere, creating stationary patterns with nodes and antinodes. They're essential in musical instruments and resonators.
공식
The calculator finds resonant frequencies using f_n = n × v / (2L)
단계별 가이드
- 1Enter the length of the medium and the wave type (open or closed ends)
- 2The calculator finds resonant frequencies using f_n = n × v / (2L)
- 3Results show all harmonic frequencies and wavelengths
풀어진 예시
입력
L = 0.5 m, v = 344 m/s, closed-open
결과
f₁ = 172 Hz, f₂ = 516 Hz, f₃ = 860 Hz
Odd harmonics only
피해야 할 일반적인 실수
- ✕Forgetting that closed pipes produce only odd harmonics
- ✕Using incorrect boundary conditions for the pipe type
자주 묻는 질문
Why do open vs. closed pipes have different resonant frequencies?
Open pipes have antinodes at both ends (all harmonics), while closed pipes have nodes at one end (odd harmonics only).
What determines the fundamental frequency?
The fundamental depends on the medium's properties (v) and the cavity length (L).
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