While attempting to tune the note C at 523 Hz, a piano tuner hears 2.00 beats/s between a reference oscillator and the string. (a) What are

Question

While attempting to tune the note C at 523 Hz, a piano tuner hears 2.00 beats/s between a reference oscillator and the string. (a) What are the possible frequencies of the string

in progress 0
Trung Dũng 4 years 2021-08-31T00:50:22+00:00 2 Answers 96 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-31T00:51:37+00:00
    Reply

    Answer:

    525 Hz and 521 Hz

    Explanation:

    The possible frequencies of the string can be found by

    B = f_{0} + f_{1}\\B = f_{0} - f_{1}

    Where B is beats/sec and f0 = 523 Hz is the fundamental frequency and f1 is to be found

    f_{1}= f_{0} + B\\f_{1}= f_{0} - B

    f_{1}= 523 + 2\\f_{1}= 523 - 2

    f_{1}= 525\\f_{1}= 521

    Hence the possible frequencies of the string are 525 Hz and 521 Hz

  2. thienhuong
    0
    2021-08-31T00:51:39+00:00
    Reply

    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

Leave an answer

Browse

Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )