(a) When the thinnest string is pressed down at the fret closest to the bridge (d = 21.0 cm) and the string plucked near the midpoint, the vibrating string produces a sound with a frequency of 2,360 Hz. If the guitarist moves to the next fret (second-closest to the bridge), the sound produced has a frequency of 2,222 Hz. Determine the distance (in cm) between the frets. (Assume the given frequencies are fundamental frequencies.) cm (b) What If? All the guitar strings are made of the same material and the second-thinnest string has a diameter that is 36.4% larger than that of the thinnest string.
(a) When the thinnest string is pressed down at the fret closest to the bridge (d = 21.0 cm) and the string plucked near the midpoint, the vibrating string produces a sound with a frequency of 2,360 Hz. If the guitarist moves to the next fret (second-closest to the bridge), the sound produced has a frequency of 2,222 Hz. Determine the distance (in cm) between the frets. (Assume the given frequencies are fundamental frequencies.) cm (b) What If? All the guitar strings are made of the same material and the second-thinnest string has a diameter that is 36.4% larger than that of the thinnest string.
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