Answer:
The possible frequencies are 525 Hz and 521 Hz
Explanation:
A string must be tune in the same frequency with the note to eliminate beats.
Given;
Frequency of note C = 523 Hz
The frequency that the piano is been tune to = 523 Hz
The beat frequency heard = 2 beats /s.
The frequencies that must have been heard can be an addition of the beat or the reduction of the beat added to the string frequency.
Frequencies of the string = ± 523 Hz
= 521 Hz or 525 Hz
Therefore the frequencies of the string are 523 Hz and 521 Hz
Answer:
525 Hz and 521 Hz
Explanation:
The possible frequencies of the string can be found by
[tex]B = f_{0} + f_{1}\\B = f_{0} - f_{1}[/tex]
Where B is beats/sec and f0 = 523 Hz is the fundamental frequency and f1 is to be found
[tex]f_{1}= f_{0} + B\\f_{1}= f_{0} - B[/tex]
[tex]f_{1}= 523 + 2\\f_{1}= 523 - 2[/tex]
[tex]f_{1}= 525\\f_{1}= 521[/tex]
Hence the possible frequencies of the string are 525 Hz and 521 Hz
