Question

A 1056-hertz tuning fork is sounded at the same time a piano note is struck. You hear three beats per second. What is the frequency of the piano string?

Answer 1

`f_2 = 1053 Hz`

or

`f_2 = 1059 Hz`

Step-by-step explanation:

As we know that the beat frequency is given as

`|f_1 - f_2| = f_(beat)`

here we know that

`f_1 = 1056 Hz`

`f_(beat) = 3 Hz`

now we have

`|1056 - f_2| = 3`

now we have

`1056 - f_2 = \pm 3`

so we have

`f_2 = 1053 Hz`

or

`f_2 = 1059 Hz`