Waves with Equal Amplitude and Angular Frequency
Reference from the original Physics I textbook.
- Waves with Equal Amplitude and Angular Frequency
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).
- Related Glossary Terms
Constructive Interferenceⓘ, Destructive Interferenceⓘ, Two Wave Interference Equation, Wave Interference, Wave Interference Equation
- Index
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
Glossary and deeper reading · 4 refreshers
These editorial refreshers supplement the reading. Definitions and examples are added guidance; original source wording and recorded answers remain in their original context.
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Wave
A wave is a propagating disturbance that can transfer energy without transporting the medium as a whole. Mechanical waves require a material medium, while electromagnetic waves can propagate through vacuum. For example, a pulse travels along a rope while individual rope segments move locally around their equilibrium positions.
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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.
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Constructive interference
Constructive interference occurs when overlapping wave contributions reinforce one another. For equal-frequency sinusoidal waves, in-phase contributions produce increased amplitude at the location considered. For example, coherent light arriving with an integer-wavelength path difference can form a bright interference fringe.
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Destructive interference
Destructive interference occurs when overlapping wave contributions oppose one another. Complete cancellation requires equal-magnitude opposite disturbances at the relevant place and time. For example, equal sinusoidal waves half a cycle out of phase can produce zero net displacement during their overlap.