(1) Parasaurolophus was a dinosaur whose distinguishing featurewas a hollow crest on the head. The 1.2m long hollow tube in thecrest had connections to the nose and throat, leading someinvestigators to hypothesize that the tube was a resonant chamberfor vocalization. (Figure 1)
If you model the tube as an open-closed system, what are thefirst three resonant frequencies? (Use 350 m/s for the speed ofsound.)
Enter your answers using two significant figures in ascendingorder separated by commas.
(2) Tendons are, essentially, elastic cords stretched betweentwo fixed ends; as such, they can support standing waves. Theseresonances can be undesirable. The Achilles tendon connects theheel with a muscle in the calf. A woman has a 20-cm-long tendonwith a cross-section area of 120mm2. The density of tendon tissueis 1100 kg/m3.
For a reasonable tension of 600N , what will be the fundamentalresonant frequency of her Achilles tendon?
Express your answer to two significant figures and include theappropriate units.
