Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Parasaurolophus was a dinosaur whose distinguishing feature was a hollow crest o

ID: 2012323 • Letter: P

Question

Parasaurolophus was a dinosaur whose distinguishing feature was a hollow crest on the head. The 1.4 m long hollow tube in the crest had connections to the nose and throat, leading some investigators to hypothesize that the tube was a resonant chamber for vocalization

If you model the tube as an open-closed system, what are the first three resonant frequencies? (Use 350 m/s for the speed of sound.)

Enter your answers using two significant figures in ascending order separated by commas.
f = _______Hz, ________Hz, ________Hz


Explanation / Answer

Given that length L=1.4m speed of the sound is v=350m/s the first resonant frequency is f1=v/4L       =350/4(1.4)       =62.5Hz the second resonant frequency is f2=3(f1)     =187.5Hz the third resonant frequency is f3=5(f1)       =312.5Hz