A string fixed at both ends has a length of 1 m. With a frequency of 44 kHz (fourth overtone), standing waves are produced. Which harmonics will be audible to a human? (Humans can hear from 20Hz to 20kHz)

Question

anonymous · Answer

none.. at least, I don't think so... if the frequency is 44kHz and we can only hear up to 20kHz it would be logical that we wouldn't hear anything... but than again, it has been some  time ago that I studied this particular subject so I might be wrong..

anonymous · Answer

It provides me with the answer, which is one harmonic, but I need to know how to get that.

anonymous · Answer

Okay so the fourth overtone means that it is the 5th harmonic.. so divide 44kHz with 5 to get the fundamental frequency 8.8kHz which is the first harmonic (which we can indeed hear) every double kHz is another harmonic so the second harmonic is 17.6 which can also be heard by humans.. If you are completely sure that your question and answer is completely right than I have no fracking clue what they did to answer with one harmonic.. I just figured my answer might help you in some way..

anonymous · Answer

haha, no worries. that's sounds about right anyway. thanks!

anonymous · Answer

just a quick question, how did you know the fourth overtone is the 5th harmonic?

anonymous · Answer

thats a fact.. it's fundemental tone (1ste harmonic), first overtone (2th harmic, second overtone (3rd harmonic) and so on...