You have a tuning fork of unknown frequency. When your ring it alongside tuning fork with frequency of 360Hz, you hear beats at frequency of 2 Hz. When you ring it alongside tuning fork with known frequency of 355Hz, you hear beats at a frequency of 3Hz. What is the unknown frequency?

Question

You have a tuning fork of unknown frequency. When your ring it alongside  tuning fork with frequency of 360Hz, you hear beats at frequency of 2 Hz. When you ring it alongside  tuning fork with known frequency of 355Hz, you hear beats at a frequency of 3Hz. What is the unknown frequency?

Please show all work

Thank you

bobpursley · Answer

What is 352?

Jack · Answer

360Hz + 2Hz= 362Hz 360Hz - 2Hz = 358Hz 355 + 3Hz= 358Hz 355 - 3Hz= 352Hz Thus, 358Hz is the answer.