[A] The Physics of Dinosaurs Explorer Stan Ting Waif has found a Parasaurolophus skull with a 70 cm long crest on the top. The crest has a passage shaped like that in the figure which gives a length of about 2.1 meters for the entire air passage. a) Suppose now that the animal could close the internal end, like we close our throat. That would give two different arrangements for the 2.1 meter long passage; both ends open and closed at one end. Calculate the fundamental (longest) wavelength for each case: both ends open: one closed end : b) Using 350 m/s for the speed of sound at body temperature, calculate the fundamental and next 2 frequencies for each of the 2 cases in part (b). c) A second Parasaurolophus has a skull which is 80% as large as the one above. If they both vocalize at the fundamental with both ends open, what would be the beat frequency heard by the smaller Parasaurolophus if the larger one is approaching it at 8 m/s 2

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[A] The Physics of Dinosaurs
Explorer Stan Ting Waif has found a Parasaurolophus skull with a 70 cm long crest on the top. The crest
has a passage shaped like that in the figure which gives a length of about 2.1 meters for the entire air passage.
a) Suppose now that the animal could close the internal end, like we close our throat. That would give two
different arrangements for the 2.1 meter long passage; both ends open and closed at one end. Calculate the
fundamental (longest) wavelength for each case:
both ends open:
one closed end:
b) Using 350 m/s for the speed of sound at body temperature, calculate the fundamental and next 2
frequencies for each of the 2 cases in part (b).
c) A second Parasaurolophus has a skull which is 80% as large as the one above. If they both vocalize at the
fundamental with both ends open, what would be the beat frequency heard by the smaller Parasaurolophus if the
larger one is approaching it at 8 m/s 2
d) If the intensity of the fundamental in the open-open case is 15mW/m at a distance of 1.2 meters from the
larger animal, calculate the power emitted from the nasal opening of the garasarolophus.
If the area of the opening is 47[cm], what is the intensity of the sound wave there?
If that area is constant for the outer passage, what is the intensity of the wave halfway (35 cm) up the outer
passage ?
Transcribed Image Text:[A] The Physics of Dinosaurs Explorer Stan Ting Waif has found a Parasaurolophus skull with a 70 cm long crest on the top. The crest has a passage shaped like that in the figure which gives a length of about 2.1 meters for the entire air passage. a) Suppose now that the animal could close the internal end, like we close our throat. That would give two different arrangements for the 2.1 meter long passage; both ends open and closed at one end. Calculate the fundamental (longest) wavelength for each case: both ends open: one closed end: b) Using 350 m/s for the speed of sound at body temperature, calculate the fundamental and next 2 frequencies for each of the 2 cases in part (b). c) A second Parasaurolophus has a skull which is 80% as large as the one above. If they both vocalize at the fundamental with both ends open, what would be the beat frequency heard by the smaller Parasaurolophus if the larger one is approaching it at 8 m/s 2 d) If the intensity of the fundamental in the open-open case is 15mW/m at a distance of 1.2 meters from the larger animal, calculate the power emitted from the nasal opening of the garasarolophus. If the area of the opening is 47[cm], what is the intensity of the sound wave there? If that area is constant for the outer passage, what is the intensity of the wave halfway (35 cm) up the outer passage ?
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