{"id":274,"date":"2026-06-18T23:49:59","date_gmt":"2026-06-18T23:49:59","guid":{"rendered":"https:\/\/physicsfundamentalsinfo.com\/blog\/?p=274"},"modified":"2026-06-18T23:50:00","modified_gmt":"2026-06-18T23:50:00","slug":"transverse-vs-longitudinal-waves","status":"publish","type":"post","link":"https:\/\/physicsfundamentalsinfo.com\/blog\/waves\/transverse-vs-longitudinal-waves\/","title":{"rendered":"What Are Transverse and Longitudinal Waves?"},"content":{"rendered":"\n<div class=\"pf-citation\"><div class=\"eyebrow\">Definition<\/div><p>\n\nTransverse vs longitudinal waves describe the two ways a wave can vibrate relative to its direction of travel: in a transverse wave the medium oscillates perpendicular to the wave&#8217;s motion, while in a longitudinal wave it oscillates parallel to it. Both transfer energy without moving matter, and both obey v = f\u03bb (speed equals frequency times wavelength).\n\n<\/p><\/div>\n<p>Pluck a guitar string and watch it blur up and down \u2014 yet the note itself travels outward, across the room, into your ear. Clap once in a long tunnel and a moment later the sound races back. Both are waves. Neither is built the same way.<\/p>\n<p>The split between transverse and longitudinal waves is one of the first real forks in physics, and a surprising amount hangs off it. Get it straight once and light, sound, earthquakes, ripples on a pond, and that slinky tumbling down the stairs all start to make the same kind of sense.<\/p>\n<h2>What Are Transverse and Longitudinal Waves?<\/h2>\n<p>Every wave is a travelling disturbance \u2014 a wobble that hands energy from one place to the next while the stuff it moves through mostly stays where it is. So the question that sorts every wave into one of two families is almost embarrassingly simple. <em>Which way does the medium wobble, compared with the way the wave goes?<\/em><\/p>\n<p>In a <strong>transverse wave<\/strong>, the medium moves at right angles to the wave&#8217;s path. Flick a rope and a hump runs along it \u2014 but your hand, and every scrap of rope, only travels up and down. The energy goes sideways; the rope goes nowhere.<\/p>\n<p>In a <strong>longitudinal wave<\/strong>, the medium moves back and forth <em>along<\/em> the same line the wave travels. Push the end of a slinky and a squeeze of coils shoots forward, while each individual coil just shuffles a short distance and springs back.<\/p>\n<p>Here is the part most beginners miss: in both cases, the particles never travel with the wave. They oscillate about a fixed home position. Only the pattern \u2014 and the energy it carries \u2014 moves on.<\/p>\n<svg viewBox=\"0 0 720 470\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" role=\"img\" aria-label=\"Diagram comparing a transverse wave, in which the medium vibrates perpendicular to the direction of travel forming crests and troughs, with a longitudinal wave, in which the medium vibrates parallel to the direction of travel forming compressions and rarefactions.\" style=\"width:100%;height:auto;max-width:720px;display:block;margin:24px auto;\">\n  <defs>\n    <marker id=\"tlInk\" markerWidth=\"10\" markerHeight=\"8\" refX=\"8\" refY=\"3\" orient=\"auto\"><path d=\"M0,0 L8,3 L0,6 Z\" fill=\"#0A1628\"><\/path><\/marker>\n    <marker id=\"tlWine\" markerWidth=\"10\" markerHeight=\"8\" refX=\"8\" refY=\"3\" orient=\"auto\"><path d=\"M0,0 L8,3 L0,6 Z\" fill=\"#7A1F2B\"><\/path><\/marker>\n  <\/defs>\n  <rect x=\"8\" y=\"12\" width=\"704\" height=\"208\" rx=\"10\" fill=\"#FAF6EE\" stroke=\"#D9CFB8\"><\/rect>\n  <rect x=\"8\" y=\"234\" width=\"704\" height=\"224\" rx=\"10\" fill=\"#FAF6EE\" stroke=\"#D9CFB8\"><\/rect>\n<text x=\"28\" y=\"40\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"18\" font-weight=\"700\" fill=\"#0A1628\" letter-spacing=\"0.5\">TRANSVERSE WAVE<\/text>\n\n<text x=\"28\" y=\"58\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#142139\">vibration is perpendicular to travel<\/text>\n\n<line x1=\"470\" y1=\"40\" x2=\"648\" y2=\"40\" stroke=\"#0A1628\" stroke-width=\"2\" marker-end=\"url(#tlInk)\"><\/line>\n\n<text x=\"559\" y=\"31\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">direction of wave travel<\/text>\n\n<line x1=\"70\" y1=\"118\" x2=\"650\" y2=\"118\" stroke=\"#C5D0DC\" stroke-width=\"1.5\" stroke-dasharray=\"5 5\"><\/line>\n\n<polyline fill=\"none\" stroke=\"#C8932A\" stroke-width=\"3.5\" points=\"70,118 74,110.48 78,103.09 82,95.95 86,89.18 90,82.9 94,77.21 98,72.21 102,67.98 106,64.6 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490,66.76 494,63.67 498,61.49 502,60.28 506,60.03 510,60.76 514,62.46 518,65.1 522,68.63 526,72.99 530,78.11 534,83.91 538,90.28 542,97.12 546,104.31 550,111.73 554,119.26 558,126.76 562,134.12 566,141.21 570,147.9 574,154.09 578,159.67 582,164.55 586,168.64 590,171.88 594,174.21 598,175.59 602,176 606,175.43 610,173.89 614,171.4 618,168.02 622,163.79 626,158.79 630,153.1 634,146.82 638,140.05 642,132.91 646,125.52 650,118\"><\/polyline>\n\n<circle cx=\"311.67\" cy=\"60\" r=\"3.6\" fill=\"#C8932A\"><\/circle>\n\n<text x=\"311.67\" y=\"50\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#0A1628\" text-anchor=\"middle\">crest<\/text>\n\n<circle cx=\"215\" cy=\"176\" r=\"3.6\" fill=\"#C8932A\"><\/circle>\n\n<text x=\"215\" y=\"193\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#0A1628\" text-anchor=\"middle\">trough<\/text>\n\n<line x1=\"505\" y1=\"118\" x2=\"505\" y2=\"60\" stroke=\"#7A1F2B\" stroke-width=\"1.8\" marker-start=\"url(#tlWine)\" marker-end=\"url(#tlWine)\"><\/line>\n\n<text x=\"514\" y=\"86\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#7A1F2B\" font-weight=\"700\">A<\/text>\n\n<text x=\"514\" y=\"99\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"9.5\" fill=\"#7A1F2B\">amplitude<\/text>\n\n<line x1=\"46\" y1=\"70\" x2=\"46\" y2=\"166\" stroke=\"#7A1F2B\" stroke-width=\"2\" marker-start=\"url(#tlWine)\" marker-end=\"url(#tlWine)\"><\/line>\n\n<text transform=\"translate(24,118) rotate(-90)\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">particle motion<\/text>\n<text x=\"28\" y=\"262\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"18\" font-weight=\"700\" fill=\"#0A1628\" letter-spacing=\"0.5\">LONGITUDINAL WAVE<\/text>\n\n<text x=\"28\" y=\"280\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#142139\">vibration is parallel to travel<\/text>\n\n<line x1=\"470\" y1=\"262\" x2=\"648\" y2=\"262\" 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y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"171.23\" y1=\"300\" x2=\"171.23\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"181.69\" y1=\"300\" x2=\"181.69\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"195.76\" y1=\"300\" x2=\"195.76\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"214.54\" y1=\"300\" x2=\"214.54\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"237.65\" y1=\"300\" x2=\"237.65\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"263.33\" y1=\"300\" x2=\"263.33\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"289.02\" y1=\"300\" x2=\"289.02\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"312.13\" y1=\"300\" x2=\"312.13\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"330.91\" y1=\"300\" x2=\"330.91\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"344.97\" y1=\"300\" x2=\"344.97\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"355.44\" y1=\"300\" x2=\"355.44\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"364.56\" y1=\"300\" x2=\"364.56\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"375.03\" y1=\"300\" x2=\"375.03\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"389.09\" y1=\"300\" x2=\"389.09\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"407.87\" y1=\"300\" x2=\"407.87\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"430.98\" y1=\"300\" x2=\"430.98\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"456.67\" y1=\"300\" x2=\"456.67\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"482.35\" y1=\"300\" x2=\"482.35\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"505.46\" y1=\"300\" x2=\"505.46\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"524.24\" y1=\"300\" x2=\"524.24\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"538.31\" y1=\"300\" x2=\"538.31\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"548.77\" y1=\"300\" x2=\"548.77\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"557.89\" y1=\"300\" x2=\"557.89\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"568.36\" y1=\"300\" x2=\"568.36\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"582.43\" y1=\"300\" x2=\"582.43\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"601.2\" y1=\"300\" x2=\"601.2\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"624.32\" y1=\"300\" x2=\"624.32\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<line x1=\"650\" y1=\"300\" x2=\"650\" y2=\"390\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n\n<text x=\"360\" y=\"295\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#7A1F2B\" font-weight=\"700\" text-anchor=\"middle\">compression<\/text>\n\n<text x=\"263\" y=\"295\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"12\" fill=\"#142139\" text-anchor=\"middle\">rarefaction<\/text>\n\n<line x1=\"332\" y1=\"412\" x2=\"388\" y2=\"412\" stroke=\"#7A1F2B\" stroke-width=\"2\" marker-start=\"url(#tlWine)\" marker-end=\"url(#tlWine)\"><\/line>\n\n<text x=\"360\" y=\"430\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">particle motion (parallel to travel)<\/text>\n\n<\/svg>\n<p style=\"font-size:13px;color:#1F2E47;font-style:italic;text-align:center;margin-top:-8px;\">A transverse wave forms crests and troughs as the medium moves up and down; a longitudinal wave forms compressions and rarefactions as it moves back and forth. In both, the wave travels left to right while the medium only vibrates in place.<\/p>\n<h2>The Wave Equation: v = f\u03bb (Both Wave Types)<\/h2>\n<p>Here&#8217;s the reassuring bit. However different they look, transverse and longitudinal waves share the same master equation. Speed, frequency, and wavelength are locked together the same way for sound, light, water, and everything else.<\/p>\n<div class=\"pf-formula\">v = f\u03bb<\/div>\n<ul>\n<li><strong>v<\/strong> \u2014 the wave speed, measured in metres per second (m\/s).<\/li>\n<li><strong>f<\/strong> \u2014 the frequency, measured in hertz (Hz): the number of complete oscillations passing a point each second.<\/li>\n<li><strong>\u03bb<\/strong> (lambda) \u2014 the wavelength, measured in metres (m): the length of one full cycle.<\/li>\n<\/ul>\n<p>A second relationship ties frequency to the time for a single cycle, the period:<\/p>\n<div class=\"pf-formula\">T = 1 \/ f<\/div>\n<p>Here <strong>T<\/strong> is the period in seconds (s). Frequency and period are simply reciprocals \u2014 double the frequency and each cycle takes half as long. You can read more in our guide to the <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/waves\/frequency-formula\/\">frequency formula<\/a>.<\/p>\n<p>One thing trips people up constantly, so it is worth saying plainly. A wave&#8217;s speed is set by the <em>medium<\/em>, not by how you shake it. Raise the frequency and the wavelength shrinks to keep v = f\u03bb balanced \u2014 the speed itself barely budges.<\/p>\n<h3>What the formula does \u2014 and doesn&#8217;t \u2014 tell you<\/h3>\n<p>The equation says nothing about whether a wave is transverse or longitudinal. It treats both identically. That is exactly why a single relationship can describe a guitar string (transverse) and the sound it launches into the air (longitudinal) in the very same breath.<\/p>\n<h2>How the Two Wave Types Actually Move<\/h2>\n<p>Picture a single particle in each wave and freeze everything else. In a transverse wave that particle bobs straight up, pauses, falls back through its starting point, bottoms out, and rises again \u2014 a tidy vertical oscillation, completely sideways to the wave&#8217;s direction.<\/p>\n<p>In a longitudinal wave the same particle creeps forward, crowds against its neighbour, then drifts back and opens a gap behind it. Crowd, gap, crowd, gap. Those crowded zones are <strong>compressions<\/strong>; the stretched-out zones are <strong>rarefactions<\/strong>.<\/p>\n<p>Both motions, by the way, are textbook <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/simple-harmonic-motion\/\">simple harmonic motion<\/a> \u2014 each particle behaves like a tiny mass on a spring. Chain millions of those little springs together and a wave is born.<\/p>\n<p>Watch both side by side below. The frequency, wavelength, and speed are identical for the two waves \u2014 only the <em>direction<\/em> of the vibration changes.<\/p>\n<div class=\"pf-sim-slot\"><div class=\"pf-sim-slot-header\"><span class=\"icon-dot\"><\/span><span class=\"label\">Transverse vs Longitudinal Waves Lab<\/span><\/div><div class=\"pf-sim-slot-body\"><style>.pf-sim-frame{width:100%;border:none;height:600px}@media(max-width:760px){.pf-sim-frame{height:1000px}}<\/style><iframe src=\"\/labs\/transverse-longitudinal.html\" class=\"pf-sim-frame\" loading=\"lazy\"><\/iframe><\/div><\/div>\n<h2>Transverse vs Longitudinal Waves: Side-by-Side Comparison<\/h2>\n<p>If you remember one table from this page, make it this one. It captures every difference that exam questions love to probe.<\/p>\n<div class=\"pf-table-scroll\" style=\"display:block;width:100%;max-width:100%;overflow-x:auto;-webkit-overflow-scrolling:touch;margin:1.5em 0;\">\n<table style=\"width:100%;border-collapse:collapse;word-break:break-word;\">\n<thead>\n<tr style=\"background:#0A1628;color:#FAF6EE;\">\n<th style=\"padding:10px 12px;text-align:left;border:1px solid #D9CFB8;\">Feature<\/th>\n<th style=\"padding:10px 12px;text-align:left;border:1px solid #D9CFB8;\">Transverse wave<\/th>\n<th style=\"padding:10px 12px;text-align:left;border:1px solid #D9CFB8;\">Longitudinal wave<\/th>\n<\/tr>\n<\/thead>\n<tbody>\n<tr>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Vibration vs wave direction<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Perpendicular (at 90\u00b0)<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Parallel (same line)<\/td>\n<\/tr>\n<tr style=\"background:#F5F2EA;\">\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Shape \/ features<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Crests and troughs<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Compressions and rarefactions<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Travels through a vacuum?<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Yes, if electromagnetic (e.g. light)<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">No \u2014 always needs a medium<\/td>\n<\/tr>\n<tr style=\"background:#F5F2EA;\">\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Through a gas or liquid interior?<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Mechanical type: no (solids\/surfaces only)<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Yes<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Can it be polarised?<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Yes<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">No<\/td>\n<\/tr>\n<tr style=\"background:#F5F2EA;\">\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Everyday examples<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Light, radio, string waves, seismic S-waves<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">Sound, ultrasound, seismic P-waves, a pushed slinky<\/td>\n<\/tr>\n<tr>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\"><strong>Speed equation<\/strong><\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">v = f\u03bb<\/td>\n<td style=\"padding:10px 12px;border:1px solid #D9CFB8;\">v = f\u03bb (identical)<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<\/div>\n<p>That polarisation row is the secret test. Because a transverse wave can vibrate up\u2013down <em>or<\/em> left\u2013right, you can filter it to a single plane \u2014 which is exactly how polarising sunglasses cut glare. A longitudinal wave only vibrates one way (along its travel), so it can never be polarised. Mechanical transverse waves also can&#8217;t push through the inside of a gas or liquid, because fluids offer nothing to resist a sideways shove (<a href=\"http:\/\/hyperphysics.phy-astr.gsu.edu\/hbase\/Sound\/tralon.html\" target=\"_blank\" rel=\"noopener\">HyperPhysics, Georgia State University<\/a>).<\/p>\n<h2>Real-World Examples of Transverse and Longitudinal Waves<\/h2>\n<p>The fastest way to lock this in is to take the four classics \u2014 light, sound, water, and a slinky \u2014 and decide each one&#8217;s type, with a reason. Then a fifth example that hides <em>both<\/em>.<\/p>\n<h3>Sound and music \u2014 longitudinal<\/h3>\n<p>When a speaker cone pushes outward, it shoves air molecules together into a compression; pulling back leaves a rarefaction. Those pressure pulses ripple to your ear along the direction of travel. The air moves back and forth, not side to side, so sound is longitudinal \u2014 and it can&#8217;t cross the vacuum of space.<\/p>\n<h3>Light, radio, and Wi-Fi \u2014 transverse<\/h3>\n<p>Light is an electromagnetic wave: oscillating electric and magnetic fields, both at right angles to the direction it travels. That perpendicular wobble makes it transverse, and it&#8217;s why light can be polarised. Crucially, it needs no medium at all \u2014 sunlight crosses 150 million kilometres of empty space to reach us.<\/p>\n<h3>Ocean and water waves \u2014 a combination (but visibly transverse)<\/h3>\n<p>This is the honest one. Watch a floating gull and it rises and dips as crests pass, which looks purely transverse. Yet the water actually traces small circles, mixing up\u2013down and back\u2013forth motion, so surface water waves are really a <em>combination<\/em> of both. At beginner level we call them transverse because the visible motion is perpendicular \u2014 just know the full story is richer.<\/p>\n<figure style=\"margin:32px auto;max-width:640px;text-align:center;\">\n  <img decoding=\"async\" src=\"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-content\/uploads\/2026\/06\/waves.jpg\"\n       alt=\"Ocean waves as an example of transverse vs longitudinal waves debate\"\n       loading=\"lazy\"\n       style=\"width:100%;height:auto;border-radius:4px;\" \/>\n  <figcaption style=\"font-size:13px;color:#1F2E47;font-style:italic;margin-top:8px;\">Surface water waves combine transverse and longitudinal motion \u2014 water particles move in small circles.<\/figcaption>\n<\/figure>\n<h3>A slinky \u2014 it can be either<\/h3>\n<p>A slinky is the ultimate teaching toy because <em>you<\/em> choose the wave type. Shake one end side to side and a transverse pulse snakes along it. Push and pull it lengthwise instead and a longitudinal squeeze races down the coils. Same spring, same equation, two completely different waves \u2014 decided entirely by the direction you drive it.<\/p>\n<h3>Earthquakes \u2014 both at once<\/h3>\n<p>A quake sends out two body waves together. P-waves (primary) are longitudinal, compressing the rock along their path; S-waves (secondary) are transverse, shaking it sideways. <a href=\"https:\/\/www.usgs.gov\/programs\/earthquake-hazards\/science-earthquakes\" target=\"_blank\" rel=\"noopener\">P-waves travel faster and arrive first<\/a> (USGS) \u2014 and because S-waves can&#8217;t pass through liquid, their absence on the far side of Earth is how we know the outer core is molten.<\/p>\n<h2>Common Misconceptions About Transverse and Longitudinal Waves<\/h2>\n<h3>&#8220;The medium travels along with the wave&#8221;<\/h3>\n<p>It doesn&#8217;t. A cork on rippling water bobs in place; it isn&#8217;t carried to the shore by the wave. Particles oscillate around a fixed point while energy and the wave pattern move on. Confusing the two is the single most common wave error.<\/p>\n<h3>&#8220;Sound is a transverse wave&#8221;<\/h3>\n<p>Sound is longitudinal \u2014 full stop. The confusion comes from how we <em>draw<\/em> it. That smooth sine curve isn&#8217;t the literal shape of the air; it&#8217;s a graph of pressure against position. High points on the graph are compressions, low points are rarefactions, as the diagram below shows.<\/p>\n<svg viewBox=\"0 0 600 300\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" role=\"img\" aria-label=\"Diagram showing that sound is a longitudinal wave of compressions and rarefactions, while the sine curve we draw is actually a graph of pressure against position, with peaks aligned to compressions and troughs aligned to rarefactions.\" style=\"width:100%;height:auto;max-width:600px;display:block;margin:24px auto;\">\n  <defs>\n    <marker id=\"sInk\" markerWidth=\"10\" markerHeight=\"8\" refX=\"8\" refY=\"3\" orient=\"auto\"><path d=\"M0,0 L8,3 L0,6 Z\" fill=\"#0A1628\"><\/path><\/marker>\n  <\/defs>\n  <rect x=\"8\" y=\"8\" width=\"584\" height=\"284\" rx=\"10\" fill=\"#FAF6EE\" stroke=\"#D9CFB8\"><\/rect>\n  <text x=\"300\" y=\"30\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"14\" font-weight=\"700\" fill=\"#0A1628\" text-anchor=\"middle\">Why we draw sound as a sine wave<\/text>\n  <rect x=\"125\" y=\"70\" width=\"36\" height=\"80\" fill=\"#C8932A\" opacity=\"0.16\"><\/rect>\n  <rect x=\"371\" y=\"70\" width=\"44\" height=\"80\" fill=\"#C5D0DC\" opacity=\"0.35\"><\/rect>\n  <line x1=\"60\" y1=\"70\" x2=\"60\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"85.11\" y1=\"70\" x2=\"85.11\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"107.01\" y1=\"70\" x2=\"107.01\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"123.8\" y1=\"70\" x2=\"123.8\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"135.67\" y1=\"70\" x2=\"135.67\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"144.8\" y1=\"70\" x2=\"144.8\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"154.51\" y1=\"70\" x2=\"154.51\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"167.86\" y1=\"70\" x2=\"167.86\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"186.45\" y1=\"70\" x2=\"186.45\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"209.71\" y1=\"70\" x2=\"209.71\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"235.21\" y1=\"70\" x2=\"235.21\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"259.56\" y1=\"70\" x2=\"259.56\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"279.88\" y1=\"70\" x2=\"279.88\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"294.9\" y1=\"70\" x2=\"294.9\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"305.53\" y1=\"70\" x2=\"305.53\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"314.47\" y1=\"70\" x2=\"314.47\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"325.1\" y1=\"70\" x2=\"325.1\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"340.12\" y1=\"70\" x2=\"340.12\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"360.44\" y1=\"70\" x2=\"360.44\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"384.79\" y1=\"70\" x2=\"384.79\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"410.29\" y1=\"70\" x2=\"410.29\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"433.55\" y1=\"70\" x2=\"433.55\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"452.14\" y1=\"70\" x2=\"452.14\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"465.49\" y1=\"70\" x2=\"465.49\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"475.2\" y1=\"70\" x2=\"475.2\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"484.33\" y1=\"70\" x2=\"484.33\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"496.2\" y1=\"70\" x2=\"496.2\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"512.99\" y1=\"70\" x2=\"512.99\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"534.89\" y1=\"70\" x2=\"534.89\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <line x1=\"560\" y1=\"70\" x2=\"560\" y2=\"150\" stroke=\"#0A1628\" stroke-width=\"2\"><\/line>\n  <text x=\"143\" y=\"62\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#7A1F2B\" font-weight=\"700\" text-anchor=\"middle\">compression<\/text>\n  <text x=\"393\" y=\"62\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">rarefaction<\/text>\n  <line x1=\"143\" y1=\"150\" x2=\"143\" y2=\"188\" stroke=\"#C8932A\" stroke-width=\"1\" stroke-dasharray=\"3 3\"><\/line>\n  <line x1=\"393\" y1=\"150\" x2=\"393\" y2=\"272\" stroke=\"#142139\" stroke-width=\"1\" stroke-dasharray=\"3 3\" opacity=\"0.6\"><\/line>\n  <line x1=\"60\" y1=\"230\" x2=\"560\" y2=\"230\" stroke=\"#C5D0DC\" stroke-width=\"1.2\" stroke-dasharray=\"5 5\"><\/line>\n  <text x=\"558\" y=\"244\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"9\" fill=\"#142139\" text-anchor=\"end\">average (rest) pressure<\/text>\n  <polyline fill=\"none\" stroke=\"#7A1F2B\" stroke-width=\"2.5\" points=\"60,272 64,271.52 68,270.1 72,267.78 76,264.59 80,260.62 84,255.95 88,250.69 92,244.97 96,238.9 100,232.64 104,226.31 108,220.07 112,214.05 116,208.39 120,203.23 124,198.67 128,194.82 132,191.78 136,189.59 140,188.33 144,188.01 148,188.65 152,190.22 156,192.7 160,196.02 164,200.12 168,204.89 172,210.23 176,216.02 180,222.13 184,228.42 188,234.74 192,240.95 196,246.92 200,252.5 204,257.58 208,262.02 212,265.74 216,268.65 220,270.68 224,271.79 228,271.95 232,271.15 236,269.43 240,266.81 244,263.35 248,259.13 252,254.26 256,248.83 260,242.98 264,236.83 268,230.53 272,224.21 276,218.03 280,212.12 284,206.61 288,201.64 292,197.31 296,193.72 300,190.95 304,189.07 308,188.12 312,188.12 316,189.07 320,190.95 324,193.71 328,197.3 332,201.64 336,206.61 340,212.12 344,218.03 348,224.21 352,230.53 356,236.83 360,242.98 364,248.83 368,254.26 372,259.13 376,263.35 380,266.8 384,269.43 388,271.15 392,271.95 396,271.79 400,270.68 404,268.65 408,265.74 412,262.02 416,257.58 420,252.51 424,246.92 428,240.96 432,234.74 436,228.42 440,222.13 444,216.02 448,210.23 452,204.89 456,200.12 460,196.02 464,192.7 468,190.22 472,188.65 476,188.01 480,188.33 484,189.59 488,191.77 492,194.82 496,198.67 500,203.23 504,208.39 508,214.05 512,220.07 516,226.31 520,232.64 524,238.9 528,244.97 532,250.69 536,255.95 540,260.62 544,264.59 548,267.77 552,270.1 556,271.52 560,272\"><\/polyline>\n  <text x=\"118\" y=\"186\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"10\" fill=\"#7A1F2B\" text-anchor=\"end\">high P<\/text>\n  <text x=\"405\" y=\"276\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"10\" fill=\"#142139\">low P<\/text>\n  <text transform=\"translate(33,230) rotate(-90)\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">pressure<\/text>\n  <text x=\"300\" y=\"290\" font-family=\"Manrope,Arial,sans-serif\" font-size=\"11\" fill=\"#142139\" text-anchor=\"middle\">position along the wave<\/text>\n<\/svg>\n<p style=\"font-size:13px;color:#1F2E47;font-style:italic;text-align:center;margin-top:-8px;\">Sound itself is longitudinal (top). The familiar sine curve (bottom, in red) is a graph of air pressure: peaks line up with compressions, troughs with rarefactions.<\/p>\n<h3>&#8220;All waves need something to travel through&#8221;<\/h3>\n<p>Mechanical waves do \u2014 sound, water, slinky pulses all need matter. But electromagnetic waves, which are transverse, sail straight through a vacuum. Light, X-rays, and radio reach Earth from across the galaxy with no medium whatsoever.<\/p>\n<h3>&#8220;A bigger wave travels faster&#8221;<\/h3>\n<p>Amplitude sets how much energy a wave carries \u2014 loudness for sound, brightness for light \u2014 not its speed. In a given medium the speed is fixed. Shout louder and your voice doesn&#8217;t outrun a whisper; both arrive together.<\/p>\n<h2>How Transverse and Longitudinal Waves Connect to Other Wave Ideas<\/h2>\n<p>Once the two types click, the rest of wave physics opens up quickly. The <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/waves\/frequency-formula\/\">frequency formula<\/a> shows how f, period, and v = f\u03bb interlock for either type, and it&#8217;s the natural next step from this page.<\/p>\n<p>Frequency also drives the <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/waves\/doppler-effect\/\">Doppler effect<\/a> \u2014 the rise and fall in pitch as an ambulance passes. It works for both families: a longitudinal shift in sound, a transverse shift in light (the cosmological &#8220;redshift&#8221;).<\/p>\n<p>And underneath every wave sits oscillation. Each particle in a transverse or longitudinal wave performs <a href=\"https:\/\/physicsfundamentalsinfo.com\/blog\/mechanics\/simple-harmonic-motion\/\">simple harmonic motion<\/a>, so understanding one springy oscillator is understanding the building block of them all.<\/p>\n<h2>Worked Problems<\/h2>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 1<\/div><div class=\"pf-problem-question\">A tuning fork produces a sound of frequency 256 Hz. Taking the speed of sound in air as 343 m\/s, find the wavelength.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Use the wave equation v = f\u03bb, rearranged for wavelength: \u03bb = v \/ f.\nStep 2: Substitute with units: \u03bb = 343 m\/s \u00f7 256 Hz.\nStep 3: Solve: \u03bb = 1.339\u2026 m.\n<strong>Answer: \u03bb \u2248 1.34 m<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 2<\/div><div class=\"pf-problem-question\">Green light has a wavelength of 550 nm. Using the speed of light c = 3.00 \u00d7 10\u2078 m\/s, find its frequency.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Convert the wavelength to metres: 550 nm = 550 \u00d7 10\u207b\u2079 m = 5.50 \u00d7 10\u207b\u2077 m.\nStep 2: Rearrange v = f\u03bb for frequency: f = c \/ \u03bb = (3.00 \u00d7 10\u2078) \u00f7 (5.50 \u00d7 10\u207b\u2077).\nStep 3: Solve: f = 5.4545 \u00d7 10\u00b9\u2074 Hz.\n<strong>Answer: f \u2248 5.45 \u00d7 10\u00b9\u2074 Hz<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 3<\/div><div class=\"pf-problem-question\">A transverse wave on a string has a frequency of 12 Hz and a wavelength of 0.25 m. Calculate the wave speed.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Apply v = f\u03bb directly \u2014 no rearranging needed.\nStep 2: Substitute with units: v = 12 Hz \u00d7 0.25 m.\nStep 3: Solve: v = 3.0 m\/s.\n<strong>Answer: v = 3.0 m\/s<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 4<\/div><div class=\"pf-problem-question\">A longitudinal sound wave has a period of 2.0 ms. In air (speed 343 m\/s), find (a) its frequency and (b) its wavelength.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Convert the period: 2.0 ms = 2.0 \u00d7 10\u207b\u00b3 s. Then f = 1 \/ T = 1 \u00f7 (2.0 \u00d7 10\u207b\u00b3).\nStep 2: (a) f = 500 Hz.\nStep 3: (b) \u03bb = v \/ f = 343 \u00f7 500 = 0.686 m.\n<strong>Answer: f = 500 Hz; \u03bb \u2248 0.69 m<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 5<\/div><div class=\"pf-problem-question\">A 1.0 kHz sound passes from air (speed 343 m\/s) into water (speed about 1480 m\/s). The source frequency does not change. Find the wavelength in each medium and state what changes.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Frequency is set by the source, so f = 1000 Hz in both media. Use \u03bb = v \/ f.\nStep 2: In air: \u03bb = 343 \u00f7 1000 = 0.343 m. In water: \u03bb = 1480 \u00f7 1000 = 1.48 m.\nStep 3: The wave speeds up in water, so its wavelength stretches; frequency stays the same.\n<strong>Answer: \u03bb(air) \u2248 0.34 m, \u03bb(water) \u2248 1.48 m; frequency unchanged, speed and wavelength increase<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 6<\/div><div class=\"pf-problem-question\">An FM radio station broadcasts at 98.5 MHz. Find the wavelength of the radio wave. Use c = 3.00 \u00d7 10\u2078 m\/s.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Convert the frequency: 98.5 MHz = 98.5 \u00d7 10\u2076 Hz = 9.85 \u00d7 10\u2077 Hz.\nStep 2: Rearrange v = f\u03bb: \u03bb = c \/ f = (3.00 \u00d7 10\u2078) \u00f7 (9.85 \u00d7 10\u2077).\nStep 3: Solve: \u03bb = 3.045\u2026 m. Sanity check: FM wavelengths really are a few metres \u2014 reasonable.\n<strong>Answer: \u03bb \u2248 3.05 m<\/strong>\n\n<\/div><\/details><\/div>\n<div class=\"pf-problem\"><div class=\"pf-problem-num\">Problem 7<\/div><div class=\"pf-problem-question\">After an earthquake, a station records the S-wave 30 s after the P-wave. Taking the P-wave speed as 8.0 km\/s and the S-wave speed as 4.5 km\/s, estimate the distance to the epicentre.<\/div><details><summary>Show Solution<\/summary><div class=\"pf-problem-solution\">\n\n<strong>Solution:<\/strong>\nStep 1: Travel time is distance \u00f7 speed, so the lag is \u0394t = t_S \u2212 t_P = d(1\/v_S \u2212 1\/v_P).\nStep 2: Substitute: 1\/v_S \u2212 1\/v_P = 1\/4.5 \u2212 1\/8.0 = 0.2222 \u2212 0.1250 = 0.09722 s\/km.\nStep 3: Solve for d: d = \u0394t \u00f7 0.09722 = 30 \u00f7 0.09722 = 308.6 km. The faster longitudinal P-wave arrives first, which is why we measure S-minus-P.\n<strong>Answer: d \u2248 3.1 \u00d7 10\u00b2 km (about 310 km)<\/strong>\n\n<\/div><\/details><\/div>\n<h2>Frequently Asked Questions<\/h2>\n<details class=\"pf-faq-item\"><summary>What is the main difference between transverse and longitudinal waves?<\/summary><div class=\"pf-faq-item-answer\">\n\nThe main difference is the direction of vibration relative to the wave&#8217;s travel. In a transverse wave the medium oscillates perpendicular (at 90\u00b0) to the wave&#8217;s direction, forming crests and troughs. In a longitudinal wave the medium oscillates parallel to the direction, forming compressions and rarefactions. Both transfer energy without permanently moving the medium.\n\n<\/div><\/details>\n<details class=\"pf-faq-item\"><summary>Is sound a transverse or longitudinal wave?<\/summary><div class=\"pf-faq-item-answer\">\n\nSound is a longitudinal wave. Air molecules vibrate back and forth along the same direction the sound travels, squeezing together into compressions and spreading into rarefactions. The sine curve often drawn for sound is just a graph of pressure versus position, not the literal shape of the wave. Sound cannot travel through a vacuum.\n\n<\/div><\/details>\n<details class=\"pf-faq-item\"><summary>Is light a transverse or longitudinal wave?<\/summary><div class=\"pf-faq-item-answer\">\n\nLight is a transverse wave. It is electromagnetic, made of oscillating electric and magnetic fields that vibrate at right angles to the direction the light travels. Because the vibration is perpendicular, light can be polarised. Unlike sound, light needs no medium and travels freely through the vacuum of space at about 3 \u00d7 10\u2078 m\/s.\n\n<\/div><\/details>\n<details class=\"pf-faq-item\"><summary>Are water waves transverse or longitudinal?<\/summary><div class=\"pf-faq-item-answer\">\n\nSurface water waves are actually a combination of both. Water particles move in small circular paths, mixing perpendicular (up\u2013down) and parallel (back\u2013forth) motion. At an introductory level they are usually treated as transverse, because the visible motion \u2014 crests rising and troughs falling \u2014 is perpendicular to the direction the wave travels.\n\n<\/div><\/details>\n<details class=\"pf-faq-item\"><summary>Do transverse and longitudinal waves use the same speed formula?<\/summary><div class=\"pf-faq-item-answer\">\n\nYes. Both wave types obey v = f\u03bb, where v is the wave speed, f is the frequency, and \u03bb is the wavelength. The equation makes no distinction between the two. The speed differs only because it depends on the medium \u2014 sound in water is faster than in air, for example \u2014 not because the wave is transverse or longitudinal.\n\n<\/div><\/details>\n<details class=\"pf-faq-item\"><summary>Can a transverse wave travel through a vacuum?<\/summary><div class=\"pf-faq-item-answer\">\n\nOnly electromagnetic transverse waves can. Light, radio, and X-rays are transverse and travel through a vacuum because they need no medium. Mechanical transverse waves, such as a wave on a string, do need a medium and cannot pass through the interior of a gas or liquid, since fluids cannot resist a sideways (shear) force.\n\n<\/div><\/details>\n\n\n\n<p class=\"wp-block-paragraph\"><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Transverse vs longitudinal waves explained simply: perpendicular vs parallel vibration, with worked examples for light, sound, water, slinkies, and earthquakes, plus the v = f\u03bb formula.<\/p>\n","protected":false},"author":1,"featured_media":276,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[4],"tags":[133,135,77,134,56,136],"class_list":["post-274","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-waves","tag-electromagnetic-waves","tag-longitudinal-waves","tag-sound-waves","tag-transverse-waves","tag-wave-equation","tag-wave-types"],"_links":{"self":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/274","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/comments?post=274"}],"version-history":[{"count":1,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/274\/revisions"}],"predecessor-version":[{"id":277,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/posts\/274\/revisions\/277"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media\/276"}],"wp:attachment":[{"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/media?parent=274"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/categories?post=274"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/physicsfundamentalsinfo.com\/blog\/wp-json\/wp\/v2\/tags?post=274"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}