Tendons are, essentially, elastic cords stretched between two fixed ends; as such, they can support standing waves. These resonances can be undesirable. The Achilles tendon connects the heel with a muscle in the calf. A woman has a 20-cm-long tendon with a cross-section area of 110 mm 2 . The density of tendon tissue is 1100 kg/m 3 . For a reasonable tension of 500 N, what will be the resonant frequencies of her Achilles tendon?
Tendons are, essentially, elastic cords stretched between two fixed ends; as such, they can support standing waves. These resonances can be undesirable. The Achilles tendon connects the heel with a muscle in the calf. A woman has a 20-cm-long tendon with a cross-section area of 110 mm 2 . The density of tendon tissue is 1100 kg/m 3 . For a reasonable tension of 500 N, what will be the resonant frequencies of her Achilles tendon?
Tendons are, essentially, elastic cords stretched between two fixed ends; as such, they can support standing waves. These resonances can be undesirable. The Achilles tendon connects the heel with a muscle in the calf. A woman has a 20-cm-long tendon with a cross-section area of 110 mm2. The density of tendon tissue is 1100 kg/m3. For a reasonable tension of 500 N, what will be the resonant frequencies of her Achilles tendon?
A 1.50-m-long rope is stretched between two supports with a tension that makes the speed of transverse waves 62.0 m/s. What are the wavelength and frequency of (a) the fundamental; (b) the second overtone; (c) the fourth harmonic?
Biologists think some spiders “tune” strands of their web to give enhanced response at frequencies corresponding to those at which prey might struggle. Orb spider silk has a typical diameter of 20 µm, and spider silk has a density of 1300 kg/m3. To have a fundamental frequency at 100 Hz, to what tension must a spider adjust a 12 cm long strand of silk?
A harpsichord string of length 1.50 m and linear mass density 25.0 mg/m vibrates at a fundamental frequency of 447.0 Hz.
A) What is the speed of the transverse string waves? in m/s
B) What is the tension? in N
C) What is the wavelength of the sound wave in air produced by the vibration of the string? (The speed of sound in air at room temperature is 343 m/s.) in m
D)
What is the frequency of the sound wave in air produced by the vibration of the string? (The speed of sound in air at room temperature is 343 m/s. in Hz
Chapter 16 Solutions
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