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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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BuyFindarrow_forward

College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

You are tuning a guitar by comparing the sound of the string with that of a standard tuning fork. You notice a beat frequency of 5 Hz when both sounds are present. As you tighten the guitar string, the beat frequency rises steadily to 8 Hz. To tune the string exactly to the tuning fork, you should (a) continue to tighten the string, (b) loosen the string, or (c) impossible to determine from the given information.

To determine
The correct tension of the string that matches its fundamental frequency with that of a vibrating tuning fork.

Explanation

Given Info: beat frequency of 5 Hz when both sounds are present, As the guitar string tightened up the beat frequency raises to 8 Hz.

Formula for the beat frequency is,

fb=|fguitarftuningfork|

  • fb is the beat frequency,
  • fguitar is the frequency of the vibrating guitar string,
  • ftuningfork is the frequency of the tuning fork,

Beat frequency is the difference in the frequency of the two vibrating source

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