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{"ops":[{"insert":"In this activity, we are to look at the strings of an acoustic guitar. The strings are\nnormally stretched to a length of 62.1 cm. In the standard tuning, the open note strings\nare adjusted to have the following pitches:\n1st string \u2013 E4 (330 Hz)\n2nd string \u2013 B3 (247 Hz)\n3rd string \u2013 G3 (196 Hz)\n4th string \u2013 D3 (147 Hz)\n5th string \u2013 A2 (110 Hz)\n6th string \u2013 E2 (82.4 Hz)\n1. Calculate the wave velocity (in cm\/s) of each string in the standard tuning. (18\npts)\n2. Notes other than the open string notes shown above are played by pressing the\nstring on the fretboard, which effectively reduces the length of the string while\nkeeping the wave velocity unchanged.\na. Find the length of the specified string needed to play the following notes.\n(18 pts)\ni. 1st string \u2013 A4 (440 Hz)\nii. 2nd string \u2013 A4 (440 Hz)\niii. 3rd string \u2013 A4 (440 Hz)\niv. 4th string \u2013 A3 (220 Hz)\nv. 5th string \u2013 A3 (220 Hz)\nvi. 6th string \u2013 A3 (220 Hz)\nb. If the length of the fretboard is 40.0 cm, which of the string-note\ncombinations shown above can be played on an acoustic guitar? (Note\nthat the length of the string on a guitar is effectively reduced by pressing\nthe string on the appropriate fret on the fretboard.) (6 pts)\n\n3. Some pieces may involve the use of open tuning which allows some chords\n(combination of three or more notes) to be played just by keeping all strings\nopen. One example of open tuning is the repetitive open C tuning where the\nstrings (from 1st to 6th) are tuned to the following pitches:\nG4 (392 Hz), E4 (330 Hz), C4 (262 Hz), G3 (196 Hz), E3 (165 Hz), C3 (131 Hz)\nCalculate the wave velocity of each string in this case. (18 pts)\n"}]}

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