Lucas Kent e39465ad2f Changes to be committed:
new file:   Files/flashplayer_32_sa.exe
	new file:   favicon.ico
	new file:   globe.gif
	new file:   imgs/download.png
	new file:   imgs/zuck.jpg
	new file:   index.html
	new file:   other.ico
	new file:   script.js
	new file:   site.webmanifest
	new file:   sitemap.html
	new file:   styles/backround.css
	new file:   styles/border.css
	new file:   styles/fonts/Titillium_Web/OFL.txt
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-Black.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-Bold.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-BoldItalic.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-ExtraLight.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-ExtraLightItalic.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-Italic.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-Light.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-LightItalic.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-Regular.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-SemiBold.ttf
	new file:   styles/fonts/Titillium_Web/TitilliumWeb-SemiBoldItalic.ttf
	new file:   styles/fonts/webfontkit-20221027-163353/generator_config.txt
	new file:   styles/fonts/webfontkit-20221027-163353/specimen_files/grid_12-825-55-15.css
	new file:   styles/fonts/webfontkit-20221027-163353/specimen_files/specimen_stylesheet.css
	new file:   styles/fonts/webfontkit-20221027-163353/stylesheet.css
	new file:   styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-demo.html
	new file:   styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff
	new file:   styles/fonts/webfontkit-20221027-163353/titilliumweb-extralight-webfont.woff2
	new file:   styles/fonts/webfontkit-20221027-165950/generator_config.txt
	new file:   styles/fonts/webfontkit-20221027-165950/specimen_files/grid_12-825-55-15.css
	new file:   styles/fonts/webfontkit-20221027-165950/specimen_files/specimen_stylesheet.css
	new file:   styles/fonts/webfontkit-20221027-165950/stylesheet.css
	new file:   styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-demo.html
	new file:   styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff
	new file:   styles/fonts/webfontkit-20221027-165950/titilliumweb-bold-webfont.woff2
	new file:   styles/style.css
	new file:   tools/2048/.gitignore
	new file:   tools/2048/.jshintrc
	new file:   tools/2048/CONTRIBUTING.md
	new file:   tools/2048/LICENSE.txt
	new file:   tools/2048/README.md
	new file:   tools/2048/Rakefile
	new file:   tools/2048/favicon.ico
	new file:   tools/2048/index.html
	new file:   tools/2048/js/animframe_polyfill.js
	new file:   tools/2048/js/application.js
	new file:   tools/2048/js/bind_polyfill.js
	new file:   tools/2048/js/classlist_polyfill.js
	new file:   tools/2048/js/game_manager.js
	new file:   tools/2048/js/grid.js
	new file:   tools/2048/js/html_actuator.js
	new file:   tools/2048/js/keyboard_input_manager.js
	new file:   tools/2048/js/local_storage_manager.js
	new file:   tools/2048/js/tile.js
    new file:   tools/2048/meta/apple-touch-icon.png
	new file:   tools/webretro/cores/neocd_libretro.js
	new file:   tools/webretro/cores/neocd_libretro.wasm
	new file:   tools/webretro/cores/nestopia_libretro.js
	new file:   tools/webretro/cores/nestopia_libretro.wasm
	new file:   tools/webretro/cores/o2em_libretro.js
	new file:   tools/webretro/cores/o2em_libretro.wasm
	new file:   tools/webretro/cores/opera_libretro.js
	new file:   tools/webretro/cores/opera_libretro.wasm
2022-11-02 08:40:01 -04:00

480 lines
16 KiB
HTML
Raw Blame History

This file contains ambiguous Unicode characters

This file contains Unicode characters that might be confused with other characters. If you think that this is intentional, you can safely ignore this warning. Use the Escape button to reveal them.

<!DOCTYPE html>
<html lang="en"><!-- #BeginTemplate "/Templates/Advanced.dwt" --><!-- DW6 -->
<!-- Mirrored from www.mathsisfun.com/physics/waves-sound.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:50:04 GMT -->
<head>
<meta http-equiv="content-type" content="text/html; charset=UTF-8">
<!-- #BeginEditable "doctitle" -->
<title>Sound Waves</title>
<meta name="description" content="Math explained in easy language, plus puzzles, games, quizzes, videos and worksheets. For K-12 kids, teachers and parents.">
<script language="JavaScript" type="text/javascript">reSpell=[["meter","metre"]];</script>
<script src="images/audio-spectrum.js" type="text/javascript"></script>
<link rel="stylesheet" type="text/css" href="../stylejs.css">
<!-- #EndEditable -->
<meta name="keywords" content="math, maths, mathematics, school, homework, education">
<meta name="viewport" content="width=device-width, initial-scale=1.0, user-scalable=yes">
<meta name="HandheldFriendly" content="true">
<meta name="referrer" content="always">
<link rel="preload" href="../images/style/font-champ-bold.ttf" as="font" type="font/ttf" crossorigin="">
<link rel="preload" href="../style4.css" as="style">
<link rel="preload" href="../main4.js" as="script">
<link rel="stylesheet" href="../style4.css">
<script src="../main4.js" defer="defer"></script>
<!-- Global site tag (gtag.js) - Google Analytics -->
<script async="" src="https://www.googletagmanager.com/gtag/js?id=UA-29771508-1"></script>
<script>
window.dataLayer = window.dataLayer || [];
function gtag(){dataLayer.push(arguments);}
gtag('js', new Date());
gtag('config', 'UA-29771508-1');
</script>
</head>
<body id="bodybg" class="adv">
<div id="stt"></div>
<div id="adTop"></div>
<header>
<div id="hdr"></div>
<div id="tran"></div>
<div id="adHide"></div>
<div id="cookOK"></div>
</header>
<div class="mid">
<nav>
<div id="menuWide" class="menu"></div>
<div id="logo"><a href="../index.html"><img src="../images/style/logo-adv.svg" alt="Math is Fun Advanced"></a></div>
<div id="search" role="search"></div>
<div id="linkto"></div>
<div id="menuSlim" class="menu"></div>
<div id="menuTiny" class="menu"></div>
</nav>
<div id="extra"></div>
<article id="content" role="main">
<!-- #BeginEditable "Body" -->
<h1 class="center">Sound</h1>
<p class="center"><img src="images/bark.jpg" alt="bark" height="184" width="151"><br>
<span class="larger">Arrow the Dog barks!</span></p>
<p>His bark makes the air go between <b>compressed</b> and <b>rarefied</b>:</p>
<p class="center"><img src="images/compression-rarefaction.svg" alt="compression rarefaction" height="108" width="272"></p>
<p>The air molecules bounce back and forth a bit but don't really travel anywhere.</p>
<p>We call that type of wave <a href="waves-introduction.html">longitudinal</a>, like this:</p>
<div class="script" style="height: 190px;">
images/waves.js
</div>
<p>&nbsp;</p>
<p class="center"><img src="images/sound-wave.jpg" alt="sound wave" height="102" width="360"><br>
<b>But</b> people show sound as "up-down" waves<br>
because it is <b>easier</b> to show that way.</p>
<p>&nbsp;</p>
<h2>Audio Spectrum</h2>
<p style="float:right; margin: 0 0 5px 10px;"><img src="images/frequency-hi-lo.svg" alt="frequency high and low" height="214" width="216"></p>
<p>A low <b>frequency</b> of vibration has a low <b>pitch</b>&nbsp;and makes a deep sound, like a growl.</p>
<p>A high frequency has a high pitch, like a whistle.</p>
<p>Sound frequency is often measured in "Hertz" (Hz) which is how many vibrations per second.</p>
<div class="example">
<h3>Example: 50 Hertz means 50 times per second</h3>
</div>
<p>Humans can hear sounds between about 20 Hz and 20,000 Hz (depending on the human!).</p>
<p>&nbsp;</p>
<p>You can try it yourself:</p>
<script>audiospectrumMain();</script>
<p>&nbsp;</p>
<p>Below 20 Hz is called <b>infrasound</b> ("infra" means below), and above 20,000 Hz is <b>ultrasound</b> ("ultra" means beyond).</p>
<p>We are most sensitive to sounds between 1,000 and 4,000 Hz:</p>
<p class="center" ><img style="background-color:white;" src="images/loudness.gif" alt="loudness dB vs frequency graph" height="192" width="360"><br>
<b>A Typical Hearing Sensitivity Curve</b><br>
(dB explained below)</p>
<p>As we get older we are less sensitive to higher frequency sounds (a limit around 12,000 Hz is normal for an adult).</p>
<h2>Sound Intensity</h2>
<p style="float:left; margin: 0 10px 5px 0;"><img style="background-color:white;" src="images/sound-intensity.svg" alt="sound intensity" height="122" width="208"></p>
<p>&nbsp;</p>
<p>Sound Intensity is the amount of <b>power per unit area</b></p>
<p>Usually measured as Watts per square meter (W/m<sup>2</sup>)</p>
<p>(Note: 1 W/m<sup>2</sup> is very loud, like a chain saw up close.)</p>
<div style="clear:both"></div>
<h2>Loudness and Decibels</h2>
<p><b>Loudness</b> is how powerful a sound seems to us.</p>
<p>For a sound to seem <b>twice as loud</b> needs about <b>ten times the intensity</b>.</p>
<div class="example">
<p style="float:right; margin: 0 0 5px 10px;"><img src="images/speaker.jpg" alt="speaker" height="152" width="150"></p>
<h3>Example: you feed 1 Watt of power into a speaker.</h3>
<p>Your friend says "twice as loud please!"</p>
<p>You need to use about 10 watts to make them agree it now sounds twice as loud.</p>
</div>
<p>So we use decibels (dB) to measure loudness:</p>
<ul>
<li>+10 dB means 10× the intensity</li>
<li>+20 dB means 100× the intensity</li>
<li>+30 dB means 1000× the intensity</li>
<li>etc</li>
</ul>
<p>The scale for sound starts at 0 dB, the quietest sound humans can hear, and goes up from there:</p>
<div class="simple">
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<th align="right">decibels<br>
(dB)</th>
<th width="20">&nbsp;</th>
<th>&nbsp;</th>
<th width="20">&nbsp;</th>
<th> Intensity<br>
(W/m<sup>2</sup>)</th>
</tr>
<tr>
<td style="text-align:right;"><b>0</b></td>
<td>&nbsp;</td>
<td>Quietest sound humans can hear</td>
<td>&nbsp;</td>
<td>10<sup>-12</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>10</b></td>
<td>&nbsp;</td>
<td>Pin drop</td>
<td>&nbsp;</td>
<td>10<sup>-11</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>20</b></td>
<td>&nbsp;</td>
<td>Rustling leaves</td>
<td>&nbsp;</td>
<td>10<sup>-10</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>30</b></td>
<td>&nbsp;</td>
<td>Whisper</td>
<td>&nbsp;</td>
<td>10<sup>-9</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>40</b></td>
<td>&nbsp;</td>
<td>Library</td>
<td>&nbsp;</td>
<td>10<sup>-8</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>50</b></td>
<td>&nbsp;</td>
<td>Quiet conversation</td>
<td>&nbsp;</td>
<td>10<sup>-7</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>60</b></td>
<td>&nbsp;</td>
<td>Restaurant</td>
<td>&nbsp;</td>
<td>10<sup>-6</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>70</b></td>
<td>&nbsp;</td>
<td>Normal&nbsp;TV</td>
<td>&nbsp;</td>
<td>10<sup>-5</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>80</b></td>
<td>&nbsp;</td>
<td>Truck&nbsp;</td>
<td>&nbsp;</td>
<td>10<sup>-4</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>90</b></td>
<td>&nbsp;</td>
<td>Mower Engine</td>
<td>&nbsp;</td>
<td>10<sup>-3</sup></td>
</tr>
<tr>
<td style="text-align:right;"><b>100</b></td>
<td>&nbsp;</td>
<td>Motorbike</td>
<td>&nbsp;</td>
<td>0.01</td>
</tr>
<tr>
<td style="text-align:right;"><b>110</b></td>
<td>&nbsp;</td>
<td>Rock concert</td>
<td>&nbsp;</td>
<td>0.1</td>
</tr>
<tr>
<td style="text-align:right;"><b>120</b></td>
<td>&nbsp;</td>
<td>Chain saw</td>
<td>&nbsp;</td>
<td>1</td>
</tr>
<tr>
<td style="text-align:right;"><b>130</b></td>
<td>&nbsp;</td>
<td>Painful</td>
<td>&nbsp;</td>
<td>10</td>
</tr>
<tr>
<td style="text-align:right;"><b>140</b></td>
<td>&nbsp;</td>
<td>Jet take off, Dangerous for ears</td>
<td>&nbsp;</td>
<td>100</td>
</tr>
<tr>
<td style="text-align:right;"><b>150</b></td>
<td>&nbsp;</td>
<td>Causes deafness</td>
<td>&nbsp;</td>
<td>1000</td>
</tr>
<tr>
<td style="text-align:right;"><b>194</b></td>
<td>&nbsp;</td>
<td>Loudest sound possible, can kill</td>
<td>&nbsp;</td>
<td>&nbsp;</td>
</tr>
</tbody></table>
</div>
<p>At 194 dB sound waves become shock waves (like a blast from an explosion).</p>
<h2>Inverse Square</h2>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td><span class="larger"><img src="../algebra/images/proportion-inverse-square.svg" alt="brightness decreases by the square of the distance" height="178" width="316"></span></td>
<td class="larger"><span class="center"><b>Inverse Square</b></span>: when one value <b>decreases</b> as the square of the other value.</td>
</tr>
</tbody></table>
<div class="example">
<h3>Example: Sound and distance</h3>
<p>The further away we are from a sound, the less intense it is.</p>
<p class="center"><img style="background-color:white;" src="images/inverse-square-sound.svg" alt="inverse square law: distance=1 area=1 intensity=1, distance=2 area=4 intensity=0.25, distance=3 area=9 intensity=0.111..." height="184" width="422"></p>
<p>The power per square meter decreases as the <b>square</b> of the distance.</p>
<p>Because:</p>
<ul>
<li>the energy twice as far away is spread over 4 times the area</li>
<li>the energy 3 times as far away is spread over 9 times the area</li>
<li>etc</li>
</ul>
</div>
<h2>Speed of Sound</h2>
<p>Sound travels slowest in gases (such as air), faster in liquids (such as water) and fastest in solids.</p>
<div class="simple">
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<th>Medium</th>
<th width="30">&nbsp;</th>
<th>Speed</th>
</tr>
<tr>
<td> Air at 20°C </td>
<td>&nbsp;</td>
<td>343 m/s </td>
</tr>
<tr>
<td>Air at 35°C </td>
<td>&nbsp;</td>
<td>352 m/s</td>
</tr>
<tr>
<td>Water at 20°C </td>
<td>&nbsp;</td>
<td>1482 m/s</td>
</tr>
<tr>
<td>Glass</td>
<td>&nbsp;</td>
<td>4540 m/s</td>
</tr>
<tr>
<td>Brass</td>
<td>&nbsp;</td>
<td>4700 m/s</td>
</tr>
<tr>
<td>Steel</td>
<td>&nbsp;</td>
<td>5790 m/s</td>
</tr>
<tr>
<td colspan="3" align="center"><i>Amazing! Sound travels about<br>
17 times faster
in Steel than Air!</i></td>
</tr>
</tbody></table>
</div>
<p>&nbsp;</p>
<div class="fun">
<h3>How Far is That Lightning Strike?</h3>
<p class="center"><img src="images/lightning.jpg" alt="lightning" height="249" width="480"></p>
<p>Next time there is a thunderstorm watch for lightning&nbsp;and start <b>counting seconds</b>.</p>
<p>The light reaches you almost&nbsp;immediately (at about 300,000 km/s), but the sound takes longer.</p>
<p><b>343 m/s</b> is about <b>3 seconds per km</b>, or 5 seconds per mile.</p>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<th>Count</th>
<th width="20">&nbsp;</th>
<th align="center">Approx<br>
Distance</th>
</tr>
<tr>
<td>1 sec</td>
<td>&nbsp;</td>
<td style="text-align:center;">340 m</td>
</tr>
<tr>
<td>2 sec</td>
<td>&nbsp;</td>
<td style="text-align:center;">700 m</td>
</tr>
<tr>
<td>3 sec</td>
<td>&nbsp;</td>
<td style="text-align:center;">1 km</td>
</tr>
<tr>
<td>6 sec</td>
<td>&nbsp;</td>
<td style="text-align:center;">2 km</td>
</tr>
<tr>
<td>9 sec</td>
<td>&nbsp;</td>
<td style="text-align:center;">3 km</td>
</tr>
<tr>
<td>etc...</td>
<td>&nbsp;</td>
<td style="text-align:center;">&nbsp;</td>
</tr>
</tbody></table>
<p>So if you count 15 seconds until you hear thunder, the lightning strike was 5 km (3 miles) away.</p>
</div>
<h2>Echo</h2>
<p class="words">An <b>echo</b> is a reflection, usually of sound from a hard surface.</p>
<p class="center"><img src="images/echo-clap.svg" alt="echo clap" height="247" width="355"><br>
The sound bounces off the wall (angle in matches angle out).<br>
You will hear the echo of the clap some time after you hear it from your hands.</p>
<h2>Sonar and Ultrasound</h2>
<p><b>Sonar</b> (<b>SO</b>und <b>N</b>avigation <b>A</b>nd <b>R</b>anging) is a way of listening to the <b>echo</b> of sound waves (usually underwater) to locate objects:</p>
<p class="center"><img src="images/sonar.jpg" alt="sonar" height="198" width="280"><br>
Sonar sent out ... reflects off cute fish ... sound received.</p>
<p class="center"><img src="images/sonar-shipwreck.jpg" alt="sonar shipwreck" height="261" width="300"><br>
Sonar (with computer help) can map out the sea floor and even find shipwrecks!</p>
<p>Bats use a similar method&nbsp;(called "echolocation"). They send out ultrasound squeaks (20&nbsp;kHz to 120 kHz) to find their way at night, find insects to eat and even avoid hitting small wires!</p>
<p class="center"><img src="images/ultrasound.jpg" alt="ultrasound" height="252" width="200"><br>
And ultrasound can be used for images inside our bodies.</p>
<h2>Doppler</h2>
<p>The <a href="doppler-effect.html">Doppler Effect</a> happens when a wave's source is <b>moving</b> in relation to us:</p>
<ul>
<li>As the source approaches, the waves arrive at a higher frequency</li>
<li>And as the source moves away the waves have a lower frequency</li>
</ul>
<p>So a passing siren sounds like <i>"nee-nee-nee-nee&nbsp;... woooo-woooo"</i> (or a passing race-car sounds like <i>"eeee-yoooo"):</i></p>
<table style="border: 0; margin:auto;">
<tbody>
<tr>
<td colspan="2"><img src="images/doppler-before.gif" alt="doppler approaching" height="146" width="348"></td>
<td>Approaching: &nbsp;higher frequency</td>
</tr>
<tr>
<td style="text-align:right;">Leaving: lower frequency </td>
<td colspan="2"><img src="images/doppler-leave.gif" alt="doppler leaving" height="146" width="347"></td>
</tr>
<tr>
<td>&nbsp;</td>
<td style="width:100px;">&nbsp;</td>
<td>&nbsp;</td>
</tr>
</tbody></table>
<p>This applies to all waves, including light waves and even waves on the sea:</p>
<ul>
<li>On the sea, a boat can travel <b>with</b> the waves to make the up-and-down motion slower.</li>
<li><a href="light.html">Light</a> from stars that are moving away are "red-shifted" (a lower frequency of light) and those that move toward us are "blue-shifted"</li>
</ul>
<p>&nbsp;</p>
<div class="questions">17667,17669,17676,
17672,17674,17677,17679,17681,17683,17686</div>
<div class="related">
<a href="audio-spectrum-beats.html">Sound Beats</a>
<a href="waves-introduction.html">Introduction to Waves</a>
<a href="index.html">Physics Index</a>
</div>
<!-- #EndEditable -->
</article>
<div id="adend" class="centerfull noprint"></div>
<footer id="footer" class="centerfull noprint"></footer>
<div id="copyrt">Copyright © 2022 Rod Pierce</div>
</div>
</body><!-- #EndTemplate -->
<!-- Mirrored from www.mathsisfun.com/physics/waves-sound.html by HTTrack Website Copier/3.x [XR&CO'2014], Sat, 29 Oct 2022 00:50:15 GMT -->
</html>