AP® Physics 2: Algebra-Based · Unit 14 · Topic 14.1
Transverse and Longitudinal Waves
A transverse wave shakes a medium side to side, perpendicular to the direction it travels; a longitudinal wave squeezes and stretches the medium back and forth, parallel to the direction it travels.
The difference is about which way the particles of the medium move compared to which way the wave's energy moves. In a transverse wave, like a shaken rope or a wave on a guitar string, each piece of the medium moves up and down while the wave itself travels horizontally. In a longitudinal wave, like sound, each piece of the medium moves back and forth along the same line the wave travels. Sound from a speaker works by pushing air molecules forward, bunching them into a compression, then pulling back to leave a rarefaction, a region of lower pressure. That alternating pattern of compressions and rarefactions travels outward and eventually jiggles your eardrum the same way.
A slinky makes both motions easy to see side by side. Push one end straight in and release, and you create a compression pulse that runs lengthwise down the coils, longitudinal. Shake the same end side to side instead, and you create a wiggle that runs down the slinky while each coil moves perpendicular to that direction, transverse. Same slinky, same direction of travel, completely different particle motion.
This distinction explains why sound cannot cross empty space the way light does. Sound is mechanical: it needs molecules to compress and rarefy, and a vacuum has none. Light is electromagnetic, carrying its own oscillating electric and magnetic fields, so it needs no medium at all. The same logic lets seismologists probe the Earth's interior: longitudinal P-waves pass through the outer core, but transverse S-waves vanish there, because transverse waves need a rigid material to support shear. That gap is strong evidence the outer core is liquid, setting up the next ideas of wave speed, interference, and the behaviors that break the simple ray picture of light.
Key terms
- Transverse wave
- A wave in which the medium oscillates perpendicular to the direction the wave travels.
- Longitudinal wave
- A wave in which the medium oscillates parallel to the direction the wave travels.
- Compression and rarefaction
- Regions of bunched-together (compression) and spread-out (rarefaction) molecules that make up a longitudinal sound wave.
- Mechanical wave
- A wave that requires a material medium to travel, unlike electromagnetic waves.
- P-wave and S-wave
- Seismic longitudinal (P) and transverse (S) waves; S-waves cannot pass through the liquid outer core.
Watch it explained
- How it worksHow do compressions and rarefactions in air carry a sound from a speaker to your ear?
- How it worksCompare a slinky pushed lengthwise with the same slinky shaken sideways, side by side.
- Common mistakeWhy doesn't sound travel through the vacuum of space the way light does?
- Going furtherWhat kind of wave travels through the middle of the Earth, and what does that reveal about the core?
Check yourself
End of topic.