What are the labeled parts of a wave diagram?

A standard wave diagram labels the crest (highest point), trough (lowest point), wavelength (distance of one full cycle, measured peak to peak), amplitude (displacement from the rest line to the crest), and the rest or equilibrium position (the dashed horizontal line through the middle). You may also add labels for frequency (cycles per second) and period (time for one cycle). This generator creates a fully labeled version from a plain-English description.

What is the difference between a transverse wave and a longitudinal wave?

In a transverse wave the particles of the medium move perpendicular to the direction of wave travel — the diagram shows a sinusoidal curve. In a longitudinal wave the particles move parallel to the wave's direction of travel — the diagram shows alternating compressions (dense regions) and rarefactions (spread regions). Light, water waves, and rope waves are transverse; sound waves in air are longitudinal.

What is wavelength on a wave diagram?

Wavelength (λ) is the distance between two identical, adjacent points on a wave — most easily seen as the distance from one crest to the next, or one trough to the next, or from one compression to the next. On a wave diagram it is shown as a horizontal double-headed arrow spanning exactly one complete cycle.

What is amplitude on a wave diagram?

Amplitude (A) is the maximum displacement of the medium from its rest (equilibrium) position. On a transverse wave diagram it is the vertical distance from the dashed equilibrium line to the crest. Greater amplitude means the wave carries more energy — louder sound has a higher amplitude, for example.

How are frequency and period shown on a wave diagram?

Frequency (f) is the number of complete cycles per second, measured in hertz (Hz). Period (T) is the time for one complete cycle, measured in seconds. They are reciprocals: T = 1/f and f = 1/T. A wave diagram can annotate period by labelling the time span of one full cycle, and frequency by noting the number of cycles that fit in one second.

Can I make a blank wave diagram worksheet?

Yes. Ask for a black-and-white, unlabeled wave diagram with blank leader lines pointing to the crest, trough, wavelength, amplitude, and equilibrium position, and you will get a printer-friendly worksheet for students to fill in. Generate the labeled version alongside it to use as an answer key.

Physics Tool

Wave Diagram Generator for Transverse & Longitudinal Waves

Create a labeled wave diagram in seconds. Show crest, trough, wavelength, amplitude, rest position, frequency, and period for transverse waves — or compression and rarefaction for longitudinal waves — then download your diagram, free.

Crest, trough, wavelength & amplitude labeledTransverse and longitudinal wave typesCompression and rarefaction regionsLabeled or blank for worksheets

Wave Diagram Generator

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Wave Diagram Examples

Labeled transverse and longitudinal wave diagrams for physics

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Labeled Transverse Wave

All key parts in one diagram — crest, trough, wavelength, amplitude, and equilibrium line clearly labeled.

transverselabeledcrest

Transverse vs Longitudinal Wave

Transverse oscillation is perpendicular to wave travel; longitudinal oscillation is parallel — shown side by side.

transverselongitudinalcomparison

Parts of a Wave

Every part of a wave labeled on one diagram — ideal for notes, posters, and revision.

partsreferencelabeled

Wavelength and Amplitude

Wavelength is one full cycle; amplitude is the displacement from rest — both measured and labeled.

wavelengthamplitudemeasurement

Longitudinal Wave: Compression & Rarefaction

Compression (dense) and rarefaction (spread) regions labeled on a longitudinal wave with wavelength marked.

longitudinalcompressionrarefaction

Blank Wave Worksheet

Leader lines, no labels — print and hand out for students to identify crest, trough, amplitude, and wavelength.

worksheetblankunlabeled

What is a wave diagram?

A wave diagram is a labeled drawing that shows the shape and key measurements of a wave. For a transverse wave it is a sinusoidal curve with annotations pointing to the crest, trough, wavelength, amplitude, and rest (equilibrium) position. For a longitudinal wave it is a coiled spring or series of dots showing alternating compressions and rarefactions, with the wavelength spanning one complete compression-rarefaction pair. Wave diagrams appear in every introductory physics course because they connect the visual pattern of a wave to the quantities — wavelength, amplitude, frequency, and period — that appear in equations.

Parts of a wave: crest, trough, wavelength, amplitude, and rest position

Crest: the highest point of a transverse wave — the peak of the sinusoidal curve.
Trough: the lowest point of a transverse wave — the valley of the sinusoidal curve.
Wavelength (λ): the distance from one crest to the next (or trough to trough, or any two identical points one full cycle apart). Measured in metres.
Amplitude (A): the maximum displacement of the medium from the rest position — the vertical distance from the equilibrium line to the crest. Larger amplitude means more energy.
Rest position (equilibrium line): the undisturbed position of the medium, drawn as a horizontal dashed line through the middle of the wave.
Frequency (f): the number of complete waves that pass a point per second. Measured in hertz (Hz). Related to period by f = 1/T.
Period (T): the time for one complete wave cycle. Measured in seconds. Related to frequency by T = 1/f.

Transverse waves vs longitudinal waves

In a transverse wave the particles of the medium oscillate perpendicular to the direction the wave travels — like a rope shaken up and down while the wave moves along the rope. Light and water surface waves are transverse. In a longitudinal wave the particles oscillate parallel to the wave's direction of travel — like the coils of a spring being pushed and pulled along its length. Sound is a longitudinal wave. Both types share the same wave-speed formula v = fλ, but their diagrams look very different: a transverse wave is drawn as a sinusoidal curve, while a longitudinal wave is shown as alternating compressions and rarefactions.

Compression and rarefaction in longitudinal waves

Compression: a region where the particles of the medium are pushed together — the coils of a spring are densely packed. This is the equivalent of a crest in a transverse wave.
Rarefaction: a region where the particles are spread apart — the coils are widely spaced. This is the equivalent of a trough in a transverse wave.
One full wavelength of a longitudinal wave spans exactly one compression and one rarefaction.
Sound waves in air are longitudinal: the speaker cone pushes air molecules together (compression) then pulls them apart (rarefaction), and the wave carries that pressure pattern outward.

The wave equation: v = fλ

The wave equation v = fλ links wave speed (v, in m/s), frequency (f, in Hz), and wavelength (λ, in m). Since period T = 1/f, you can also write it as v = λ/T. If you know any two of the three quantities you can find the third. For example, sound travels at about 340 m/s in air; if the frequency is 340 Hz the wavelength is 1 m. A wave diagram makes these relationships visual: wavelength is the length of one cycle, and frequency tells you how many of those cycles pass a fixed point every second.

Labeled vs blank wave diagrams for worksheets

Teachers often need two versions of the same diagram: a fully labeled one for notes and slides, and an unlabeled version with empty leader lines for students to fill in as a quiz or homework. With this generator you can describe a labeled wave for your lesson and then ask for a printer-friendly, black-and-white blank version of the same layout — no redrawing required. You can also adjust complexity, for instance asking for a simple single-wave diagram for middle school or a multi-wave comparison poster for A-level physics.