From a vibrating string to a signal in your brain: how sound is made, how it travels, how we measure it and how the ear detects it, with diagrams and worked examples.
Press your fingertips lightly against your throat and hum. You can feel a buzzing, and that buzzing is the source of the sound you hear. Every sound, from a whisper to a thunderclap, begins with something vibrating. The vibration pushes on the surrounding air, the push travels outwards as a wave, and the wave eventually makes your eardrum vibrate too. This article follows that whole journey, from the vibrating source to the signal that your brain recognises as speech or music.
Sound is a wave created by a vibrating object. When a guitar string, a loudspeaker cone or your vocal cords move back and forth, they push and pull on the nearby air particles. Those particles do not travel across the room. Each one only moves a tiny distance back and forth around its resting position, but it bumps into its neighbour and passes the disturbance along, like a row of people passing a message down a line while staying in their places.
Sound is a longitudinal wave. This means the particles vibrate parallel to the direction in which the wave travels. (In a transverse wave, such as a wave on a rope or a ripple on water, the vibration is at right angles to the direction of travel.) A longitudinal wave is made of alternating regions:
Sound is also a mechanical wave: it carries energy from one place to another by passing vibrations through matter, not by moving the matter itself.
Because sound is passed from particle to particle, it needs a medium (a substance to travel through). It can travel through gases, liquids and solids. It cannot travel through a vacuum, which is empty space with no particles. A well-known demonstration places a ringing bell inside a sealed jar and slowly pumps the air out: the sound grows fainter and fainter, although the bell can still be seen vibrating. This is also why, in the near-vacuum of outer space, there is no sound that travels from one spacecraft to another; astronauts communicate by radio, which uses electromagnetic waves, not sound.
Generally, sound travels fastest in solids, more slowly in liquids and slowest in gases, because the particles in a solid are closer together and spring back more quickly.
Any regular wave can be described with a small set of quantities:
| Quantity | Symbol | Meaning | Unit |
|---|---|---|---|
| Frequency | f | Number of complete vibrations (cycles) per second | hertz (Hz) |
| Period | T | Time for one complete vibration; T = 1 ÷ f | second (s) |
| Wavelength | λ (lambda) | Distance between two neighbouring compressions (or two neighbouring identical points) | metre (m) |
| Amplitude | A | Maximum displacement from the rest position; related to the energy of the wave | depends on what is measured |
| Wave speed | v | Distance the wave travels each second | metre per second (m/s) |
These are linked by the wave equation:
v = f × λ (speed = frequency × wavelength)
If a wave moves into a new medium, its frequency stays the same (it is set by the source), but its speed and wavelength both change.
The note A above middle C has a frequency of 440 Hz. Find its wavelength in air, where the speed of sound is 343 m/s, and its period.
Step 1. Rearrange v = fλ to λ = v ÷ f.
Step 2. Substitute: λ = 343 m/s ÷ 440 Hz.
Step 3. Calculate: λ ≈ 0.78 m.
Step 4. Period: T = 1 ÷ f = 1 ÷ 440 Hz ≈ 0.0023 s (2.3 milliseconds).
The same 440 Hz sound enters water, where sound travels at about 1480 m/s. What is the new wavelength?
The frequency is unchanged at 440 Hz. λ = v ÷ f = 1480 m/s ÷ 440 Hz ≈ 3.4 m. The wavelength is about four times longer than in air, because the speed is about four times greater.
Three features of a sound are easy to notice:
An oscilloscope or a microphone connected to a computer can display these wave shapes, and this is a good classroom experiment: sing a note, then sing it louder, then sing a higher one, and watch what changes.
The speed of sound depends on the medium and its temperature, but not on how loud or how high-pitched the sound is. In dry air at 20 °C it is about 343 m/s, which is roughly 1235 km/h. In air the speed rises with temperature by about 0.6 m/s for each degree Celsius, so the value is close to 331 m/s at 0 °C. The values below are approximate and differ slightly between sources and conditions.
You see a flash of lightning and hear the thunder 6.0 s later. How far away was the strike?
Light is so fast (about 300 million m/s) that we can treat the flash as instant. Only the sound takes noticeable time.
distance = speed × time = 343 m/s × 6.0 s ≈ 2058 m ≈ 2.1 km.
Rule of thumb: about 3 seconds for each kilometre. If the gap between flash and bang is very short, take shelter indoors.
The loudness of a sound is measured on the decibel (dB) scale. The scale is logarithmic, which means equal steps on the scale represent equal multiples of sound intensity, not equal additions. An increase of 10 dB is a tenfold increase in sound intensity, and an increase of about 3 dB is a doubling of intensity. Our ears do not judge loudness in a simple way, but a 10 dB rise is usually heard as roughly twice as loud.
| Sound | Approximate level |
|---|---|
| Whisper | about 30 dB |
| Normal conversation | about 60 dB |
| Busy road traffic | about 80 dB |
| Power tools or lawn mower | about 90 dB |
| Loud concert or very loud headphones | about 100–110 dB |
| Sounds felt as painful | about 120–130 dB and above |
These are typical, rounded values that vary with distance and the exact source. Hearing damage depends on both the level and the time of exposure, which is why a very loud sound can harm in minutes while a moderate one takes hours.
When a sound wave meets a hard, smooth surface such as a wall or a cliff, most of it is reflected, and the law of reflection applies: the angle of incidence equals the angle of reflection. An echo is a reflected sound that you can hear separately. To hear it as distinct from the original, the delay should be at least about 0.1 s. With sound at 343 m/s, the round trip in 0.1 s is about 34 m, so the reflecting surface must be at least about 17 m away. In smaller rooms, reflections arrive so quickly that they merge with the original sound; this is called reverberation.
Engineers use reflection in sonar (sound navigation and ranging). A ship sends out a pulse of sound (often ultrasound) and measures the time until the echo returns from the sea bed or from a shoal of fish. Since the pulse travels down and back, the depth is half of the total distance:
distance = speed × time ÷ 2 (time is for the round trip)
A ship's sonar pulse returns after 0.50 s. Sound in sea water travels at about 1480 m/s. How deep is the water?
Step 1. Total distance travelled = 1480 m/s × 0.50 s = 740 m.
Step 2. The pulse went down and back, so depth = 740 m ÷ 2 = 370 m.
A student shouts towards a cliff and hears the echo 1.2 s later. How far away is the cliff (speed of sound 343 m/s)?
Total distance = 343 × 1.2 = 411.6 m. Distance to cliff = 411.6 ÷ 2 ≈ 206 m.
Absorption. Soft, porous materials such as curtains, carpets and foam take in sound energy instead of reflecting it, converting a little of it to heat. Concert halls and recording studios use a carefully chosen mix of reflecting and absorbing surfaces to control echoes.
Diffraction. Waves spread out when they pass through a gap or around an obstacle. You can hear someone talking in the next room even when you cannot see them, because sound bends around the door frame. Sound diffracts easily because its wavelengths in air (from a few centimetres to several metres) are similar in size to doorways and everyday objects.
Interference. When two sound waves meet, they add together. If a compression meets a compression, the sound gets louder; if a compression meets a rarefaction of equal size, they can cancel. Noise-cancelling headphones use this idea: a microphone detects outside noise and the headphones play a matching "opposite" wave that cancels part of it, especially steady low-frequency noise such as engine hum.
Instruments make sound by making something vibrate, and they let you change the frequency in predictable ways.
Every object has one or more natural frequencies at which it vibrates most easily. If a regular push or sound matches a natural frequency, the vibrations build up. This is called resonance. A child on a swing shows it well: small pushes timed with the swing's natural rhythm make it go high. Resonance helps instruments sound loud (a guitar's hollow body vibrates in sympathy with the strings), and engineers have to design buildings, bridges and machines so that ordinary vibrations do not match their natural frequencies.
When a sound source moves towards you, each new wave crest starts from a point closer to you than the last, so the crests arrive more often and you hear a higher frequency. When the source moves away, the crests arrive less often and you hear a lower frequency. This is the Doppler effect, named after the Austrian physicist Christian Doppler. It explains why an ambulance siren seems to drop in pitch as it passes you. Notice that the siren's own frequency has not changed; only the frequency you receive has. Radar speed guns and some medical blood-flow scanners use related Doppler principles with other types of waves.
Young people with healthy hearing can usually detect frequencies from about 20 Hz to 20 000 Hz. The upper limit falls with age and with hearing damage. Sounds above this range are ultrasound; sounds below it are infrasound.
Many animals hear different ranges from humans. Dogs, for example, hear higher frequencies than we do, which is why a dog whistle seems silent to us.
The ear is a remarkably sensitive detector. It has three main parts:
The hair cells in the cochlea do not regrow in humans, so hearing damage from loud noise is usually permanent. Health agencies such as the US National Institute for Occupational Safety and Health (NIOSH) recommend limiting exposure to 85 dBA over 8 hours, and every 3 dB above that halves the safe time. The World Health Organization also publishes guidance on safe listening with personal audio devices.
Try each question before opening the answer.
Sound is passed from particle to particle, so it needs a medium. A vacuum has no particles to vibrate.
Frequency = 256 Hz. Period T = 1 ÷ 256 ≈ 0.0039 s.
v = fλ = 500 × 0.68 = 340 m/s.
d = 343 × 9 ≈ 3087 m ≈ 3.1 km.
Total distance = 1500 × 0.20 = 300 m. Depth = 300 ÷ 2 = 150 m.
The amplitude increases. The frequency (pitch) stays the same.
The Doppler effect: as the ambulance approaches, you receive waves more often (higher frequency); after it passes, you receive them less often (lower frequency).
Pinna → ear canal → eardrum → three small bones (malleus, incus, stapes) → cochlea → auditory nerve → brain.
Simple activities that need little equipment: feel the vibration of a ruler clamped to a desk and change its free length to change the pitch; use a slinky to show compressions and rarefactions; measure the speed of sound with two students, a wall and a stopwatch (timing echoes of claps), or with a free phone-based oscilloscope app; compare how well different materials block sound with a small buzzer in a box. For safety, never play very loud sounds close to someone's ears. Numerical values are rounded; please check that they match the data booklet used by your examination board.
This article is original EDUSAMBAM writing. Definitions, typical values and safety guidance were checked against the sources below. Diagrams are original and were not copied from any source.
Note on the numbers: speeds and decibel levels are typical, rounded values. Please check them against your own syllabus or exam board specification before relying on them.
12 questions. Select an answer for each, then submit to see your score instantly.