Two out-of-tune flutes play the same note. One produces a tone that has a frequency of 245 Hz, while the other produces 283 Hz. When a tuning fork is sounded together with the 245-Hz tone, a beat frequency of 22.0 Hz is produced. When the same tuning fork is sounded together with the 283-Hz tone, a beat frequency of 16.0 Hz is produced. What is the frequency of the tuning fork?

College Physics
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Chapter1: Units, Trigonometry. And Vectors
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Two out-of-tune flutes play the same note. One produces a tone that has a frequency of 245 Hz, while the other produces 283 Hz. When a tuning fork is sounded together with the 245-Hz tone, a beat frequency of 22.0 Hz is produced. When the same tuning fork is sounded together with the 283-Hz tone, a beat frequency of 16.0 Hz is produced. What is the frequency of the tuning fork?

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