Fourier Analysis of Sound Waves
Physics ⇒ Waves and Sound
Fourier Analysis of Sound Waves starts at 11 and continues till grade 12.
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A complex sound wave is found to have significant energy at 500 Hz, 1000 Hz, and 1500 Hz. What is the period of the wave?
A periodic sound wave has a period of 0.005 s. What is its fundamental frequency?
A sound wave is composed of three harmonics: 100 Hz, 200 Hz, and 300 Hz. What is the fundamental frequency?
A sound wave is described by the function s(t) = 3sin(2π440t) + 2sin(2π880t). What are the frequencies present in the sound?
A sound wave is given by s(t) = 4sin(2π100t) + 2sin(2π300t). What is the ratio of the amplitude of the second harmonic to the fundamental?
Describe how the timbre of a musical instrument is related to its Fourier spectrum.
Describe the effect of increasing the number of harmonics in the Fourier synthesis of a square wave.
Describe what is meant by the term 'frequency domain' in the context of sound waves.
Explain how the Fourier series of a square wave differs from that of a sine wave.
Explain the difference between a harmonic and an overtone in the context of Fourier analysis of sound waves.
Explain why Fourier analysis is important in the study of sound waves.
If a sound wave contains only odd harmonics, what can you infer about its waveform?
