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Waves

Waves carry energy from place to place without carrying the stuff along.

Music from a speaker, light from the Sun, the signal that reaches your phone, and the waves rolling onto a beach are all waves. Why do you see lightning before you hear thunder? How does a bat find bugs in the dark? On this page you'll learn the parts of a wave, how to find a wave's speed, and how sound and light behave when they hit something.

A hand holding one end of a rope tied to a wooden post standing on the ground, with a wave traveling along it and its crest, trough, wavelength, and amplitude labeled wavelengthcresttroughamplitude

What is a wave?

A wave is a disturbance that carries energy from one place to another. The wave moves along, but the stuff it travels through mostly just wiggles in place and stays where it was.

Watch a duck on a pond when a ripple passes: it bobs up and down, but it isn't carried away to shore. In a stadium "wave," fans stand up and sit down in their seats, yet the wave races around the whole stadium.

Kinds of waves

Mechanical waves need a medium, some matter to travel through, like water, air, or a rope. Ocean waves, sound, and earthquake waves are mechanical.

Electromagnetic waves don't need a medium. They can travel through empty space, which is how sunlight reaches Earth. Light, radio, and microwaves are electromagnetic waves.

Waves also differ in how the medium moves:

  • Transverse waves: the medium moves at right angles to the direction the wave travels. Flick a rope up and down, and the wave runs along it.
  • Longitudinal waves: the medium squeezes together and spreads apart along the same direction the wave travels. Sound in air works this way, and so does a pulse pushed along a stretched slinky.

Parts of a wave

  • Crest: the highest point of a wave. Trough: the lowest point.
  • Amplitude: how far the medium moves from its resting position. A bigger amplitude carries more energy: a louder sound or a taller ocean wave.
  • Wavelength (λ, the Greek letter lambda): the distance from one crest to the next, measured in meters.
  • Frequency (f): how many waves pass a point each second, measured in hertz (Hz). 1 Hz means one wave per second. Guitar strings vibrate hundreds of times a second.
  • Period (T): the time for one whole wave to pass, in seconds. T = 1 ÷ f, so a wave with a frequency of 4 Hz has a period of 0.25 s.

Wave speed

The speed of a wave equals its frequency times its wavelength:

v = f × λ

With f in hertz and λ in meters, the speed v comes out in meters per second (m/s). In one medium, waves of one kind travel at about the same speed, so if the frequency goes up, the wavelength gets shorter.

Worked examples (made-up numbers, except the speed of sound)

Finding speed and wavelength

Ocean waves: 0.5 waves pass a pier each second (f = 0.5 Hz), and the crests are 8 m apart. v = 0.5 Hz × 8 m = 4 m/s.

A rope wave: you shake a rope 3 times a second, and the crests are 0.6 m apart. v = 3 Hz × 0.6 m = 1.8 m/s.

Working backward: sound travels about 343 m/s in air at 20 °C. A note with a frequency of 343 Hz has λ = v ÷ f = 343 ÷ 343 = 1 m.

Try it: the wave maker

This make-believe rope carries waves at a fixed speed of 1 m/s. Change the amplitude and frequency and watch the wavelength.

Wavelength = 1 m/s ÷ 1.0 Hz = 1.00 m

The box shows 3 meters of rope.

Sound

Sound is a longitudinal mechanical wave made by something vibrating, like a guitar string, a drum skin, or your vocal cords. Because it needs a medium, sound can't travel through the near-empty space between planets.

In air at 20 °C, sound travels about 343 m/s. It moves faster in water (about 1,500 m/s) and faster still in many solids, such as steel. Light is far faster, which is why you see lightning before you hear thunder: the sound takes about 3 seconds to travel 1 kilometer.

  • Pitch is how high or low a sound is. It depends on frequency: a short, tight guitar string vibrates fast and makes a high note. People with healthy hearing can hear roughly 20 Hz to 20,000 Hz.
  • Loudness depends mostly on amplitude. It's measured in decibels (dB). The scale climbs fast: each 10 dB step means about 10 times more sound energy. Normal talking is around 60 dB.
Protect your hearing: long or repeated exposure to sounds at or above 85 dB, like a gas lawn mower or earbuds turned way up, can damage your hearing for good. Turn it down, move away, or wear earplugs. If someone next to you can hear your earbuds, they're too loud.

Light and the electromagnetic spectrum

Light is an electromagnetic wave. In a vacuum, all electromagnetic waves travel at the same speed: about 300,000 km/s (299,792 km/s). Sunlight takes about 8 minutes to reach Earth.

The full range of electromagnetic waves is the electromagnetic spectrum. From longest wavelength (lowest frequency) to shortest (highest frequency):

  1. Radio waves: radio and TV broadcasts.
  2. Microwaves: microwave ovens, Wi-Fi, and phone signals.
  3. Infrared: the warmth you feel from a fire, TV remotes.
  4. Visible light: the only part our eyes can see.
  5. Ultraviolet (UV): causes sunburn.
  6. X-rays: medical images of bones.
  7. Gamma rays: from radioactive materials and exploding stars.

Visible light is a mix of colors, from red (longest wavelength) through orange, yellow, green, and blue to violet (shortest). A rainbow forms when raindrops bend and spread sunlight into those colors.

Reflection, refraction, absorption and diffraction

  • Reflection: a wave bounces off a surface. Mirrors reflect light. An echo is reflected sound. Bats and dolphins use echolocation: they make sounds and listen for the echoes to find food and obstacles.
  • Refraction: a wave bends when it passes into a new medium and changes speed. A straw in a glass of water looks bent or broken at the water's surface because light changes speed as it passes from water to air.
  • Absorption: a material soaks up the wave's energy. A dark shirt absorbs more sunlight than a white one and feels warmer, and soft curtains absorb sound.
  • Diffraction: a wave spreads out as it passes through a gap or around an edge. That's one reason you can hear someone talking around a corner even when you can't see them.

Sun and laser safety

Never look straight at the Sun, even with sunglasses, and never through binoculars or a telescope without a proper solar filter. It can permanently damage your eyes. Never point a laser at anyone's eyes, at animals, or at cars or aircraft. Even small laser pointers can hurt eyes.

Experiments to try at home

Ask an adult before you start. Wipe up spills right away, and be gentle with glass.

Quick quiz

1. What does a wave carry from place to place?

2. A wave has a frequency of 2 Hz and a wavelength of 3 m. What is its speed?

3. Where can sound NOT travel?

4. Which wave is longitudinal?

5. A guitar string vibrates faster. What do you hear?

6. Why does a straw look bent in a glass of water?

Talk about it

  • You count 6 seconds between a lightning flash and its thunder. About how far away was the lightning?
  • Movies often show loud explosions in space. What would one really sound like, and why?
  • Which waves did you use today? Think about your phone, the microwave, music, and sunlight.

Sources

Credits: All illustrations on this page are original, hand-coded SVG by Galileo. The share image was drawn in code.