"The phenomenon of driving a system with a frequency equal to its natural frequency is called **resonance**, and a system being driven at its natural frequency is said to **resonate**."
"Beats are produced by the superposition of two waves with slightly different frequencies but the same amplitude."
"The resonant frequencies of a tube closed at one end are $f_n = n\frac{v}{4L}, \, n = 1, 3, 5...$ ... The resonant frequencies of a tube open at both ends are $f_n = n\frac{v}{2L}, \, n = 1, 2, 3...$"
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"The phenomenon of driving a system with a frequency equal to its natural frequency is called resonance, and a system being driven at its natural frequency is said to resonate."
"Beats are produced by the superposition of two waves with slightly different frequencies but the same amplitude."
"The resonant frequencies of a tube closed at one end are $f_n = n\frac{v}{4L}, , n = 1, 3, 5...$ ... The resonant frequencies of a tube open at both ends are $f_n = n\frac{v}{2L}, , n = 1, 2, 3...$"
What you'll learn
- Describe resonance in terms of natural frequency, driving force, and damping
- Explain how beats arise from superposition and compute beat frequency with f_B = |fâ â fâ|
- Define fundamental, overtone, and harmonic, and explain how standing waves form in a pipe
- Contrast open-pipe and closed-pipe resonators and use their resonant-frequency formulas
- Solve problems involving the harmonic series and beat frequency
Slides
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Slides
In development
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