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Homework. Good vibrat x D Microsoft PowerPoint-I x A Beam Is Attached To A x C S

ID: 1620031 • Letter: H

Question

Homework. Good vibrat x D Microsoft PowerPoint-I x A Beam Is Attached To A x C Secure I https:// www.fi pitphysics.com/ ?uni 2632573&enrollmentID; 243825 Course/ViewProblem Homework: Good Vibrations The Harmonic Scalpel Deadline 100% until Tuesday, May 9 at 10:00 AM Standing Waves 1) A piezoelectric crystal experiences resonance at certain frequencies. The greatest amplitude in the crystal occurs at its fundamental resonance frequency. In this mode, the standing wave in the crystal has the configuration A-N- A given piezoelectric crystal is vibrating at its fundamental resonance frequency. This is also the frequency at which the entire scalpel vibrates, so f 5.5 x 104. The speed of sound in the crystal is vP 4 103 m/s. What is the thickness of the crystal? m Submit I Problems Print Assig Standard Exercise oscillatory Mc Standard Exercise Standing Wave Standard Exercise Resonance Standard Exercise The Harmonic 3 37

Explanation / Answer

The resonance frequency canbe determined from the thickness of the crystal and the propogation velocity of sound in crystal. The Propagation velocity of sounc can be determined from the density and stiffness of the crystal.

The thickness can be calculated by below formula:

thickness= lambda/2

but, the lambda = Vp/f

therefore, thicknss = Vp/2*f

Here, Vp is the speed of sound in the crystal, f is the frequency.

Thickness= 4*103 m/s / 5.5*104

Thickness = 0.0363 meter