A tuning fork is used to tune a piano key. The tuning fork has a set frequency of 455 Hz. The beat frequency is measured at 21 Hz. What are the two possible frequencies the piano key could be to create that beat frequency?
501 Hz or 471 Hz
476 Hz or 434 Hz****
459 Hz or 477 Hz
432 Hz or 485 Hz
455 +/- 21 = 476 or 434
so yes
To find the possible frequencies of the piano key that can create a beat frequency of 21 Hz with the tuning fork, we need to consider how beats are formed.
When two different frequencies are played simultaneously, they interfere with each other. If the frequencies are close to each other, the interference produces an audible beat frequency. The beat frequency is the difference between the two frequencies.
In this case, the tuning fork has a frequency of 455 Hz, and the beat frequency is measured at 21 Hz. To find the possible frequencies of the piano key, we need to add or subtract the beat frequency from the tuning fork frequency.
Adding 21 Hz to the tuning fork frequency:
455 Hz + 21 Hz = 476 Hz
Subtracting 21 Hz from the tuning fork frequency:
455 Hz - 21 Hz = 434 Hz
Therefore, the two possible frequencies for the piano key to create a beat frequency of 21 Hz with the tuning fork are 476Hz and 434Hz.