Question

Two of the three tuning forks have known frequencies. When a 510 Hz. fork and the unknown fork are struck together, four beats per second are heard. When a 505 Hz. fork is struck with the unknown fork, beats are produced that are too numerous to count accurately. What is the frequency of the unknown fork?

Answer 1

514Hz

Step-by-step explanation:

510 - unknown = 4Hz

unknown = 514 or 506

505 - unknown = numerous

unknown is most likely 514 because 1 beat that wouldve resulted from the 506 Hz isn't numerous.

Answer 2

4 Hz is the difference between 510 and the unknown.
Therefore the unknown is either 514 or 506.

If 505 and 506 were struck together, the diff would be 1 Hz
If 505 and 514 were struck toghether, the diff would be 9 Hz which would be difficult to count accurately,

Therefore the unknown is 514