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A sound wave traveling in $20^{\circ} C$ air has a pressure amplitude of 0.5 Pa. What is the intensity of the wave?

$I = 3.14 \cdot 10 ^ { - 4 } \mathrm { W } / \mathrm { m } ^ { 2 }$

Physics 101 Mechanics

Chapter 17

Physics of Hearing

Sound and Hearing

Cornell University

Hope College

University of Winnipeg

Lectures

08:15

In physics, sound is a vib…

02:16

00:58

A sound wave traveling in …

06:18

A sound wave in air at $20…

01:09

A sound wave in air at 20$…

02:40

(a) What is the pressure a…

01:57

A sound wave in air has a …

01:19

Calculate the pressure amp…

00:50

For a person with normal h…

03:34

A sound wave of frequency …

02:31

(I) What must be the press…

03:42

(II) $(a)$ Calculate the m…

09:07

(a) If two sound waves, on…

03:35

(I) The pressure amplitude…

04:10

The amplitude of a sound w…

02:39

The pressure in a travelin…

07:00

A certain loudspeaker syst…

03:11

As a certain sound wave tr…

10:55

a. At $20^{\circ} \mathrm{…

02:08

An experimenter wishes to …

02:22

What would be the sound le…

everyone. This is question number 14 from chapter 17 and this problem we're given that a sound waves travelling through air. The air temperature is 20 degrees Celsius and the pressure amplitude of the wave is your 0.5 Pascal's and then where has to find the intensity of the wave. So I want to run out. The two equations will be using for pressure, amplitude and intensity we have on this equation. I equals Delta p squared over to Roe v. W. And we're looking for the intensity. We have the pressure amplitude we would be given row and then we need VW. So we need VW, which is speed of sound and air, and were given a temperature in the problems stem. So that brings us back to this equation to solve for VW at that given temperature, let's go and start with. That's a V w equals 3 31 meters per second square root gonna convert 20 degrees Celsius to Calvin, which is just gonna be 2 73 plus 20. So that's going to give us 2 93 okay. Divided by 2 73 K. And that gives us an air speed of, uh, when you plan the Inter calculator 3 42.91 meters per second. Okay, so now we move on to solving for intensity again, it's just plug and chug. Now that we have our airspeed, I equals are pressure. Amplitude is 0.5. Then we have to times density of air 1.2 of four kilograms per meter cubed and then our airspeed which we just found 3 42.91 And when you plug all of that into calculator, you get intensity of 3.3 times 10 to the minus forth plots per meter squared.

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