Solving a Dog Whistle Sound Problem: Finding the Frequency of Brand X

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SUMMARY

The discussion centers on determining the frequency of Brand X dog whistle, which operates alongside a known 23.5 kHz whistle. When both whistles are played together, a beat frequency of 5 kHz is produced. To find Brand X's frequency, one must either add or subtract the beat frequency from the known frequency, leading to two possible outcomes: 28.5 kHz or 18.5 kHz. This method utilizes the concept of beat frequency in wave interference.

PREREQUISITES
  • Understanding of wave frequencies and sound perception
  • Knowledge of beat frequency in acoustics
  • Familiarity with the hearing ranges of humans and dogs
  • Basic principles of sound wave interference
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  • Explore the hearing range differences between humans and dogs
  • Learn about sound wave interference and its applications
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Dx
A certain dog whistle operates at 23,5khz, while another brandX operates at an unknown frequency. If neither whistle can be heard by humans when played separately but a shrill whine of frequency 5kHz occurs when they are play simultaneously, estimate the operating frequency of brand X.


do i have to subtract the 23.5k from 5 to find its difference? Since beat frequency = differ in the 2 wave frequncies or what? I am confused with what to do?

Thanks!

Dx :wink:
 
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You're on the right track but in the wrong direction. Keep in mind that humans can hear up to about 23 kHz, while dogs hearing range goes up to about 45 kHz.
 
Yea, so the other one will either be 23.5+5 or 23.5-5

The beat frequency is the difference between the two whistles..so if one is at 23.5kHz and the beat frequency is 5kHz, then the second whistle will either be 5kHz lower or higher than whistle 1
 

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