Waves on a String — Discover Physics

Mode

Frequency f 2.0 Hz

Amplitude A 40 px

Tension T 5.0 N

Linear Density μ 0.01 kg/m

Damping 0.5%

Nodes & Antinodes Standing Wave Envelope Particle Velocity Wavelength Ruler

Wave Speed v—

Wavelength λ—

Frequency f—

Period T—

Harmonic n—

Resonant?No

Wave Speed

v = √(T/μ)

T: tension, μ: linear density

Wave Equation

v = fλ

v: speed, f: frequency, λ: wavelength

Standing Wave

fₙ = n·v/(2L)

n = 1, 2, 3... (harmonic number)

Superposition

y = 2A sin(kx) cos(ωt)

Standing wave from two opposing waves