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Sine Wave Function

Reference from the original Physics I textbook.

Sine Wave Function

y(x,t)=A⋅sin(k⋅x-ω⋅t+ϕ)

y(x,t) = instantaneous displacement (m); A = amplitude (m); k = angular wavenumber (rad/m); x = position (m); ω = angular frequency (rad/s); t = time (s); ϕ = phase constant (rad).

Sine%20Graph%209.1.2 — details in the accompanying text.

 

Related Glossary Terms

Amplitudeⓘ, Angular Frequency Equation, Frequencyⓘ, Transverse Wave, Wavelength, Wavenumber

Index

Chapter 9 - Mechanical Waves

Chapter 9 - FFR - Wave-Particles

Reviewed physics notes (1)

These corrections keep the original lesson’s purpose while fixing errors in the source edition.

  • Wave displacement at (x,t) is not the amplitude; position x is not particle displacement. — Reference 1

About this edition and its source ↗

Glossary and deeper reading · 2 refreshers

These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.

  • Amplitude

    Amplitude is the maximum magnitude of a repeating disturbance measured from its equilibrium value. It describes the size of the oscillation rather than its frequency or propagation speed. For example, pulling a spring-mounted mass farther from equilibrium increases its oscillation amplitude when it is released from rest.

  • Frequency

    Frequency is the number of complete repeating cycles per unit time. It is measured in hertz, meaning cycles per second, and is the reciprocal of the period. For example, a vibrating string with a higher frequency produces more cycles each second.

    Read more: Frequency in detail →

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