When a guitar string is sounded along with a 440 Hz tuning fork, a beat frequency of 5Hz is heard. When the same string is sounded along with a 436 Hz tuning fork, the beat frequency is 9 Hz. What is the frequency of the string?© BrainMass Inc. brainmass.com March 21, 2019, 10:07 am ad1c9bdddf
Let f denote the unknown frequency of the guitar string.
<br>Now, the beat frequency is defined as fbeat = |f-fknown| where the bars denote "modulus or absolute value".
<br>Thus, we have 2 equations:
<br>5 Hz =|f-440| .......... (i)
<br>Let f denote the unknown frequency of the guitar ...
The solution carefully explains the calculations used to arrive at two answers to the problem.