Question

while tuning apiano, the tuner observes 5 beats per second when hesounds the second harmonic (512 hz) of the middle c string along with theupper c string. what are the possible frequencies of the upper c string?

Answer 1

The possible frequencies for the upper C string are either 517 Hz or 507 Hz, based on the observation of 5 beats per second with a second harmonic of 512 Hz from the middle C string.

Step-by-step explanation:

When a piano tuner observes 5 beats per second while tuning a piano, they hear the interference pattern created by two waves of slightly different frequencies. The fact that the tuner hears 5 beats per second means that the frequency of the upper C string must be either 5 Hz higher or 5 Hz lower than the second harmonic of the middle C, which is 512 Hz. Therefore, the possible frequencies for the upper C string are either 512 Hz + 5 Hz = 517 Hz or 512 Hz - 5 Hz = 507 Hz.