Wire tensions homework

  • #1
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Homework Statement


The lengths of two wires are in the ratio 1:2, their tensions are in the ratio 1:2 and their diameters in the ratio 1:3 . The ratio of the notes they emit when sounded together by the same source is?



Homework Equations





The Attempt at a Solution


How to do this problem....What exactly are notes...A google search didnt help much....
 
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Answers and Replies

  • #2
Redbelly98
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"Notes" means a musicalnote, that is the frequency of the sound emitted by a vibrating wire. Your textbook should have a discussion, and relevant equations that involve quantities mentioned in the problem statement (tension, wire length).
 
  • #3
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Ok.....so notes are simply their frequencies?
ok if so then i am assuming both wires to be of the same material....I have velocity given by √(T/density*A) ...here T = tension , A=cross sectional area.....Now i have the ratio of their velocities.....But if i want to use f=v/wavelegth i dont have wavelength....SO how do i go about it? and does the length of the wires play any role?

Thank you for your reply.....
 
  • #4
Redbelly98
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Yes, the notes are the frequencies. And yes, the length of wire plays a role in the wavelength; the wavelength is determined by the length of the wire. (There is probably a figure showing this in your textbook or lecture notes.)
 
  • #5
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Are you talking about the concept of standing waves where the length is an integral multiple of (wavelength/2). In this case they are not talking about any particular frequency (fundamental or 2nd overtone 3rd overtone whatever....).....So how do i get the wavelength?
 
  • #6
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And what is the significance of saying that they are from the same source?
 
  • #7
Redbelly98
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The note is the frequency of the fundamental. I'm not sure what the "same source" refers to.
 
  • #8
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Ok.....i got it using the fact that notes is corresponding to the fundamental frequency....Thanks...
 

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