Musical Instruments: A man wants to learn to play guitar. He finds a model he likes for $559. He places a finger on a string so that 0.52 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 235 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 $13.96 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.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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**Musical Instruments:**
A man wants to learn to play guitar. He finds a model he likes for $559. He places a finger on a string so that 0.52 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 235 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 $13.96 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.
Transcribed Image Text:**Musical Instruments:** A man wants to learn to play guitar. He finds a model he likes for $559. He places a finger on a string so that 0.52 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 235 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 $13.96 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.
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