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HELP ASAP!!!!!! a piano tuner is tuning a string which should have a frequency of 440 hz. she knows the pitch is too high and she hears 4 beats per second. what is the frequency of the piano string?

HELP ASAP a piano tuner is tuning a string which should have a frequency of 440 hz she knows the pitch is too high and she hears 4 beats per second what is the class=

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skyluke89

Answer:

444 Hz

Explanation:

When two notes of slightly different frequency interfere with each other, they form a resultant wave whose frequency is called beat frequency, which is given by the difference between the frequencies of the two notes:

[tex]f_B = |f_1 - f_2|[/tex]

In this case, we have

[tex]f_1 = 440 Hz[/tex] is the frequency of the tuner

[tex]f_2[/tex] is the frequency of the string

[tex]f_B = 4 Hz[/tex] is the beat frequency (4 beats per second)

We also know that the frequency of the string is too high compared to the tuner, so

[tex]f_2 > f_1[/tex]

so we can find the frequency of the string:

[tex]f_2 = f_1 + f_B = 440 Hz + 4 Hz = 444 Hz[/tex]

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