Larry Wussow Posted January 10 Posted January 10 Anyone know how to calculate the Fc of a horn with only this taper rate equation given? If not, anyone know how to use AI to do it? Area of the throat = ((distance down the throat)squared)divided by 2)? Another way to write it…Area of the throat = ((distance down the throat)^2)/2? Or Throat Area = (D^2) / 2 This is a theoretical question so the starting and ending value of the distance down the throat are not considered or applied. The point being…if only the taper rate is known, and neither the beginning or ending throat areas, nor length of the horn are given, what is the Fc based solely on the flare rate? Quote
Klipsch Employees Trey Cannon Ex-employee Posted January 15 Klipsch Employees Posted January 15 It depends on the arc....exp. or Tratrix or ect. And No Roy won't give his way to get there. The math is above my head. 1 Quote
Edgar Posted January 15 Posted January 15 From https://www.grc.com/acoustics/an-introduction-to-horn-theory.pdf, and assuming that you're talking about an exponential horn: Given that k = 2pi*f/c, from just below equation (2), and m defined as in the paragraph just below equation (8), the text below equation (9) indicates that cutoff frequency f = m*c/4pi. The rest is left as an exercise for the student. Quote
Larry Wussow Posted January 22 Author Posted January 22 Thanks for responding, the equations, and link Edgar. I know the article in the link you provided states “In a conical horn, the flare rate changes throughout the horn,…. In an exponential horn, the flare rate is constant.” I definitely know my scenario is not an exponential horn, if I had to guess I think the closest is conical, that’s what I’m trying to confirm. If so, then m is going to vary and the Fc will not be a single value. I’m hoping I’m wrong and a single Fc can be calculated somehow. I’ve tried to use what you provided but alas, I’m not that skilled, and after much consternation, haven’t been able to figure out the answer, can you guide me further? I can’t figure out a number for the taper rate variable, m, as one travels down the length of the horn, or if it’s a constant or variable. Do you know? Quote
Edgar Posted January 23 Posted January 23 I worked-up this derivation quickly yesterday. If there are any errors then somebody please inform me (politely!) and I will correct them. Derivation of Cutoff Frequency.pdf Quote
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