Question

A piano tuner hears one beat every 4.0s when trying to adjust two strings, one of which is sounding 370Hz, so that they sound the same tone. How far off in frequency isthe other string?

_____ Hz

Answer 1

To find the frequency of the other string, subtract the known frequency from the beat frequency.

Step-by-step explanation:

To find the frequency of the other string, we can first find the beat frequency. The beat frequency is the difference between the frequencies of the two strings when they are sounding the same tone. In this case, the piano tuner hears one beat every 4.0 seconds.

Since the beat frequency is the difference between the frequencies of the two strings, we can calculate the frequency of the other string by subtracting the known frequency from the beat frequency. In this case, the known frequency is 370 Hz and the beat frequency is 1/4.0 Hz.

The frequency of the other string can be calculated as follows:

Frequency of other string = Known frequency - Beat frequency

Frequency of other string = 370 Hz - 1/4.0 Hz

Calculating the result, we get:

Frequency of other string = 369.75 Hz.