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Loudspeaker Design

  1. Mar 2, 2008 #1
    Hey,

    I've just done a bit of reading on some simple loudspeaker design in my textbook. It is asking me to calculate when the first minimum occurs. I think I am fine with this, but my problem is that I have no idea how I would calculate the angle at which the minimum occurs.

    I will use an example given in the book. The sound frequency is 0.14 m and this is emitted by a loudspeaker of diametre 0.15 m.

    I am using the equation:

    [tex]sin\theeta=\frac{\lambda}{b}[/tex]

    I would therefor say that the first minum occurs at [tex]\frac{0.14}{0.15}=0.93 \degrees[/tex]

    The book however says that the angle at which the minimum occurs is about 69 degrees. Could someone please clear this up, it is probably a misunderstanding of some sort. I have not offered working as I do not know the method in solving this, but any help would be great.

    Thanks.

    _Mayday_
     
  2. jcsd
  3. Mar 2, 2008 #2

    hage567

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    Homework Helper

    I'm assuming you meant to say wavelength??

    It looks to me like you just didn't finish the calculation. Use your calculator to compute the angle.
     
  4. Mar 2, 2008 #3
    Yes, sorry I did mean wavelength. What do you mean I didn't complete the calculation? Are you saying that I have the correct equation to give me that answer?
     
  5. Mar 2, 2008 #4

    hage567

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    You have [tex] \sin\theta = \frac{0.14}{0.15} [/tex]

    Solve for theta and you should get 69.0 degrees.
     
  6. Mar 2, 2008 #5
    :blushing: I can't believe I missed that...

    Thanks for your time. :tongue:
     
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