Wave on a String

Transverse waves on a string with driven end, tension, and boundary conditions. Observe reflections, standing waves, and how frequency relates to wavelength.

Who it's for: Intro waves and sound; standing-wave labs and conceptual homework.

Key terms

transverse wave
standing wave
wavelength
frequency
boundary conditions

How it works

Discrete wave equation on a string with one driven end and one fixed end. Adjust frequency to see traveling pulses, reflections, and (with light damping) patterns resembling standing waves when the drive matches approximate resonance conditions.

Key equations

∂²y/∂t² = c² ∂²y/∂x² − γ ∂y/∂t

Fixed string (both ends) fundamental f₁ = c/(2L). Here the left end is driven, so the spectrum differs — use f as a sweep knob.

Other simulators in this category — or see all 35.

View category →

School

Transverse vs Longitudinal

Side-by-side comparison of wave types with particle motion.

Launch Simulator

FeaturedSchool

Wave Interference

Two sources creating constructive and destructive patterns. 2D ripple tank.

Launch Simulator

School

Standing Waves

Find harmonics on a string. Nodes and antinodes highlighted.

Launch Simulator

NewSchool

Doppler Effect

Moving source with pitch change via Web Audio. Wavefront compression visible.

Launch Simulator

NewUniversity / research

Light Doppler & Redshift

EM vacuum Doppler: f/f₀ and z vs v/c; linear Δλ/λ ≈ v/c vs exact √(1+β)/√(1−β). Ties to spectral lines.

Launch Simulator

NewSchool

Room Reverberation (2D rays)

Specular rays in a shoebox plan; impulse response; RT60 vs Sabine. Absorption per bounce.

Launch Simulator

Wave on a String

How it works

Key equations

More from Waves & Sound

Transverse vs Longitudinal

Wave Interference

Standing Waves

Doppler Effect

Light Doppler & Redshift

Room Reverberation (2D rays)

Wave on a String

How it works

Key equations