Question

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?

Answer 1

444 Hz

Step-by-step 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:

`f_B = |f_1 - f_2|`

In this case, we have

`f_1 = 440 Hz` is the frequency of the tuner

`f_2` is the frequency of the string

`f_B = 4 Hz` 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

`f_2 > f_1`

so we can find the frequency of the string:

`f_2 = f_1 + f_B = 440 Hz + 4 Hz = 444 Hz`