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doogly wrote:http://www.youtube.com/watch?v=ITWh1TNoM7c
And times infinity is fine! For example, five times infinity is infinity. Nothing wrong there.
Technical Ben wrote:Did you just dived by Zero?
Qaanol wrote:Anyone know how to calculate the resonant frequencies of a partial Gabriel’s horn made of brass, as a function of x, the horizontal distance at which you cut it off (and at which point the air is blown) in meters, and y, the radius of the opening at the big end in meters, and z, the thickness of the brass, which we will take to be constant? We’ll say the Gabriel’s horn part is the size of the hollow interior.
broken_escalator wrote:Then comes the question that if no one is at the other end (which is infinitely far away from the horn blower) would it still make a sound?
KrO2 wrote:Qaanol wrote:Anyone know how to calculate the resonant frequencies of a partial Gabriel’s horn made of brass, as a function of x, the horizontal distance at which you cut it off (and at which point the air is blown) in meters, and y, the radius of the opening at the big end in meters, and z, the thickness of the brass, which we will take to be constant? We’ll say the Gabriel’s horn part is the size of the hollow interior.
y is constant, since Gabriel's Horn is 1/x from cut off at 1 and rotated around the x-axis. So the opening has a radius of 1, but I still can't help with the harmonics. At least not off the top of my head, and I'm too lazy to try to do work to find it.
Agent_Irons wrote:Technical Ben wrote:Did you just dived by Zero?
I'm not entirely sure that I have. Assume an incompressible fluid, conservation of volume, the speed at any finite distance along the neck of the horn is finite. Although much larger than the speed of light.
Qaanol wrote:Anyone know how to calculate the resonant frequencies of a partial Gabriel’s horn made of brass, as a function of x, the horizontal distance at which you cut it off (and at which point the air is blown) in meters, and y, the radius of the opening at the big end in meters, and z, the thickness of the brass, which we will take to be constant? We’ll say the Gabriel’s horn part is the size of the hollow interior.
webgiant wrote:broken_escalator wrote:Then comes the question that if no one is at the other end (which is infinitely far away from the horn blower) would it still make a sound?
It depends on your profession. For physicists, the answer is "yes", because a sound wave is produced.
For audiophiles, the answer is "no", because sound is what you get when the eardrum vibrates.
Micali wrote:webgiant wrote:broken_escalator wrote:Then comes the question that if no one is at the other end (which is infinitely far away from the horn blower) would it still make a sound?
It depends on your profession. For physicists, the answer is "yes", because a sound wave is produced.
For audiophiles, the answer is "no", because sound is what you get when the eardrum vibrates.
To a physicist, not quite. The sound waves propagate outwards like an inverse square function since the cross-sectional area logarithmically increases. It would limit to zero since:
I (is-proportional-to) 1/d^2 so as distance -> infinity, then I (which, lets say represents decibels) would then limit to zero.
Wolydarg wrote:That was like a roller coaster of mathematical reasoning. Problems! Solutions! More problems!
EvanED wrote:be aware that when most people say "regular expression" they really mean "something that is almost, but not quite, entirely unlike a regular expression"
Afif_D wrote:Actually you will never reach the end of the gabriel's horn where you can blow.
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