Wave Physics Lab

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MODETRAVELING

λ150 px

f1.0 Hz

v=fλ150 px/s

T=1/f1.00 s

t0.000 s

Wave Equationy(x,t)=Asin(kx−ωt+φ)

Phase Velocityv=f·λ=ω/k

Angular Freq.ω=2πf

Wave Numberk=2π/λ

Superpositiony=y₁+y₂

Standing Wavey=2Acos(ωt)sin(kx)

WAVE CONTROLS

Wave Mode

Wave 1

Amplitude60 px

Frequency1.0 Hz

Wavelength150 px

Phase φ₁0°

Live Readout

MODETRAVELING

λ150px

f1.0Hz

v=fλ150px/s

T=1/f1.00s

t0.000s

Wave Equation

y(x,t) =

A sin(kx−ωt+φ)

Phase Velocity

v = f · λ

v = ω / k

Angular Frequency

ω = 2πf

Wave Number

k = 2π / λ

Period

T = 1 / f

Superposition

y = y₁ + y₂

Standing Wave

y = 2A cos(ωt) sin(kx)

Variables

AAmplitude — max displacement fFrequency — cycles per second (Hz) λWavelength — distance per cycle kWave number — radians per unit length ωAngular frequency — radians per second φPhase offset — shifts wave horizontally TPeriod — seconds per cycle vPhase velocity — how fast wave travels

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Labels (A, λ, Crest…)