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Compare the wavelength of the 1st harmonic to the wavelengths of 2nd and 3rd harmonics. 21 22 (<,>, =) 2123 (<, >, =) λ1 = 22 (2, 3, 4, etc.) 21=- 23 (2, 3, 4, etc.) Compare the frequency of the 1st harmonic to the frequencies of the 2nd and 3rd harmonics. f1 (<, >, =) f2 f1 (<, >, =) f3 f2 = f1 (2, 3, 4, etc.) f3 = f1 (2, 3, 4, etc.) When the guitar string vibrates in the first harmonic ("fundamental frequency"), its frequency of vibration is approximately 200 Hz. Determine the frequency of second and third harmonics. Hz f2 = f3 Hz

Compare the wavelength of the 1st harmonic to the wavelengths of 2nd and 3rd harmonics. 21 22 (<,>, =) 2123 (<, >, =) λ1 = 22 (2, 3, 4, etc.) 21=- 23 (2, 3, 4, etc.) Compare the frequency of the 1st harmonic to the frequencies of the 2nd and 3rd harmonics. f1 (<, >, =) f2 f1 (<, >, =) f3 f2 = f1 (2, 3, 4, etc.) f3 = f1 (2, 3, 4, etc.) When the guitar string vibrates in the first harmonic ("fundamental frequency"), its frequency of vibration is approximately 200 Hz. Determine the frequency of second and third harmonics. Hz f2 = f3 Hz

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4. A guitar string has a set of natural frequencies at which it vibrates. Each frequency in the set is characterized by a standing wave pattern. The standing wave patterns for a guitar string are characterized by the presence of nodes at the end of the string (where it is clamped down). Each standing wave pattern (and its corresponding frequency) is called a harmonic. The first harmonic is the lowest frequency in the set (sometimes termed the fundamental frequency), followed by the second harmonic, third harmonic, etc. Draw the standing wave patterns for the first, second, and third harmonics of a guitar string. 1st Harmonic 2nd Harmonic 3rd Harmonic Compare the wavelength of the 1st harmonic to the wavelengths of 2nd and 3rd harmonics. _^3 (<,>,=) 21- 21. _^2 (<,>,=) 21= 22 (2, 3, 4, etc.) 21 = - A3 (2, 3, 4, etc.) Compare the frequency of the 1st harmonic to the frequencies of the 2nd and 3rd harmonics. f1 (<, >, =) f2 f1 (<, >,=) f3 f2 = f1 (2, 3, 4, etc.) f3= f1 (2, 3, 4, etc.) When the guitar string vibrates in the first harmonic ("fundamental frequency"), its frequency of vibration is approximately 200 Hz. Determine the frequency of second and third harmonics. Hz f2 = f3 = Hz
Transcribed Image Text:4. A guitar string has a set of natural frequencies at which it vibrates. Each frequency in the set is characterized by a standing wave pattern. The standing wave patterns for a guitar string are characterized by the presence of nodes at the end of the string (where it is clamped down). Each standing wave pattern (and its corresponding frequency) is called a harmonic. The first harmonic is the lowest frequency in the set (sometimes termed the fundamental frequency), followed by the second harmonic, third harmonic, etc. Draw the standing wave patterns for the first, second, and third harmonics of a guitar string. 1st Harmonic 2nd Harmonic 3rd Harmonic Compare the wavelength of the 1st harmonic to the wavelengths of 2nd and 3rd harmonics. _^3 (<,>,=) 21- 21. _^2 (<,>,=) 21= 22 (2, 3, 4, etc.) 21 = - A3 (2, 3, 4, etc.) Compare the frequency of the 1st harmonic to the frequencies of the 2nd and 3rd harmonics. f1 (<, >, =) f2 f1 (<, >,=) f3 f2 = f1 (2, 3, 4, etc.) f3= f1 (2, 3, 4, etc.) When the guitar string vibrates in the first harmonic ("fundamental frequency"), its frequency of vibration is approximately 200 Hz. Determine the frequency of second and third harmonics. Hz f2 = f3 = Hz
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