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(I) The pressure amplitude of a sound wave in air$\left(\rho=1.29 \mathrm{kg} / \mathrm{m}^{3}\right)$ at $0^{\circ} \mathrm{C}$ is $3.0 \times 10^{-3} \mathrm{Pa}$ . What is the displacement amplitude if the frequency is $(a) 150 \mathrm{Hz}$ and(b) 15 $\mathrm{kHz}$ ?

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a) $7.5 \times 10^{-9} \mathrm{m}$b) $7.5 \times 10^{-11} \mathrm{m}$

Physics 101 Mechanics

Chapter 16

Sound

Periodic Motion

Mechanical Waves

Sound and Hearing

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Simon Fraser University

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.

05:55

The pressure amplitude of …

02:20

A sound wave has a frequen…

06:18

A sound wave in air at $20…

01:08

A sound wave in air at 20$…

02:31

(I) What must be the press…

02:39

The pressure in a travelin…

02:40

What must be the pressure …

01:51

For a wave displacement am…

01:57

A sound wave in air has a …

04:30

A sound wave in room-tempe…

02:24

03:11

As a certain sound wave tr…

our question says the pressure amplitude of sound, wave and air, where the density and ares, 1.29 kilograms for meter, cubed at zero degrees Celsius is 3.0 times 10 to the minus three pass scales. What is this? It's placement. Amplitude of the frequency. I'm sorry. Excuse me. If the frequency is a 150 hurts and be 15 kilohertz. I rode out here What we're given in the problem, both directly and indirectly. So the density I wrote his rose 1.29 kilograms per meter cubed temperature were said ever told a zero degrees Celsius. The pressure I wrote his P is 3.0 10 senate in minus three pastels. We're going to use the speed of sound and air to be 331 meters per second rate that a cease of s the frequency for part a eyes 150 hurts and the few consumed part B is 15 kilohertz, which I rewrite is 1.5 times 10 to the fourth her since er since one 1000 Hertz is one killer hurt. Okay, so for part a Excuse me? You write that for party eh? We can use the equation for pressure for pressure amplitude here, which is equal to to pie time's ro times the speed of sound in this case times the displacement amplitude here times for we're going to use the frequency for part because we're told in we're told in part a that it's 150 hurts. Okay, so if we go in now, we want to solve for the displacement posited So we're going to solve for a a is equal to pressure divided by this is gonna be to pyro times speed of sound. Thanks the frequency. Okay, So if we plug in all the values above into there a lot of positions down below for amplitude we find that the amplitude here is 7.5 times 10 to the minus nine off in the units here is meters, so we can box set in as our solution. It's for a now, for part B. Again, we're asked to find the same value. But the only thing that's going to be changing here for part B is the frequency. So we're gonna have the exact same equation. The exact same relationship, eh is equal to key guided by two pi Time's ro speed of sound said this time the only thing that changes we're gonna have the new frequency. This time we're going to use F sabi, which is the 1.5 times 10 to minus for hurts. Okay, plug everything into the calculator and you get 7.5 again. Times 10 Chris time seven minus 11 Coming in the units or meters Ox Ettinger Solution Party.

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