Two Standing Waves Equation with Different Amplitudes
Reference from the original Physics I textbook.
- Two Standing Waves Equation with Different Amplitudes
which combines to:
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).
- 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 · 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.
-
Standing wave
A standing wave is a spatially fixed interference pattern formed by suitable waves traveling in opposite directions. Its nodes remain at zero displacement while antinodes mark positions of maximum oscillation amplitude. For example, a string fixed at both ends can support standing waves whose wavelengths fit the boundary conditions.
-
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.