Musical Instruments: A man wants to learn to play guitar. He finds a model he likes for $729. He places a finger on a string so that 0.50 m of the string is free to vibrate, but clamped at both ends. He does not know it, but the speed of waves in the string is 396 m/s. (a) When he plucks the string, what pitch (frequency) will it produce? (b) The man really likes the guitar – and the note he played. He still has $12.35 after his purchase, so he buys some wood to build a resonant cavity to amplify this sound: a wooden box open at one end. How long should he make the box? Assume the speed of sound in air is 340 m/s.

Musical Instruments: A man wants to learn to play guitar. He finds a model he likes for $729. He places a finger on a string so that 0.50 m of the string is free to vibrate, but clamped at both ends. He does not know it, but the speed of waves in the string is 396 m/s. (a) When he plucks the string, what pitch (frequency) will it produce? (b) The man really likes the guitar – and the note he played. He still has $12.35 after his purchase, so he buys some wood to build a resonant cavity to amplify this sound: a wooden box open at one end. How long should he make the box? Assume the speed of sound in air is 340 m/s.