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(II) In a quartz oscillator, used as a stable clock in electronic devices, a transverse (shear) standing sound wave is excited across the thickness $d$ of a quartz disk and its frequency $f$ is detected electronically. The parallel faces of the disk are unsupported and so behave as free ends when the sound wave reflects from them (see Fig. $36 ) .$ If the oscillator is designed to operate with the first harmonic, determine the required disk thickness if $f=12.0 \mathrm{MHz}$ . The density and shear modulus of quartz are $\rho=2650 \mathrm{kg} / \mathrm{m}^{3}$ and $G=2.95 \times 10^{10} \mathrm{N} / \mathrm{m}^{2} .$

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$1.39 \times 10^{-4} \mathrm{m}$

Physics 101 Mechanics

Chapter 16

Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

Cornell University

Simon Fraser University

Hope College

McMaster University

Lectures

08:15

In physics, sound is a vibration that typically propagates as an audible wave of pressure, through a transmission medium such as a gas, liquid or solid. In human physiology and psychology, sound is the reception of such waves and their perception by the brain. Humans can only hear sound waves as distinct pitches when the frequency lies between about 20 Hz and 20 kHz. Sound above 20 kHz is known as ultrasound and has different physical properties from sound below 20 kHz. Sound waves below 20 Hz are called infrasound. Different species have different hearing ranges. In terms of frequency, the range of ultrasound, infrasound and other upper limits is called the ultrasound.

04:49

In physics, a traveling wave is a wave that propogates without a constant shape, but rather one that changes shape as it moves. In other words, its shape changes as a function of time.

02:37

In a quartz oscillator, us…

02:03

A quartz watch contains a …

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03:26

An ultrasonic transducer; …

06:46

01:12

01:50

03:28

(II) One end of a horizont…

in a court's oscillator used as a stable clock and electronic devices. A transverse or sheer sounding sound standing sound wave is excited across the thick this D of a court's disc and its frequency F is detected electronically. The parallel faces of the disc are unsupported and so behave as free ends, with the sound wave reflecting from them a mess. Dean and figure 36. If the oscillator is designed to operate with the first harmonic, determined the required dick thickness if use me if the frequency is equal to 12 megahertz, which I have written here, the density is which is Roe is 2650 kilograms per meter cubed, and the module ISS of the courts, which is G, is equal A 2.95 times 10 to the 10 Newtons per meter squared. I have all that written out here on. Then we were asked to find the thickness then of this so the thickness to operate with a first harmonic is given by T for thickness is equal to 1/2 times the wavelength. Okay, but we don't know. We need to know the wavelength and in the wavelength is equal to the velocity in this case of the sound divided by the frequency. So this would be the speed of sound in courts. Well, we know what the frequency is. So then the question is, what is the speed of sound and courts? Well, the speed of sound in court is given. Bye. The square root of the ratio between G in Rome. Okay, so now we have everything that we need to calculate the requires thickness. Therefore, T is equal to 1/2 talk we have. He's the best, which is G over rope square root of G over. Oh, divided by the frequency. But the frequency is in 12.0 major hurts. Megahertz is 10 to the sixth hurts. It's in terms of hertz to use s I units must be 12.0 times 10 to the six hurts. Okay, I can't make that look like six figure. So if you plug all of those values and then we calculate that the thickness is one point times 10 to the minus four. This is units of meters. All right, box. It is their solution

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