Waves and Sound Workbench
Calculate and visualize wave propagation, Doppler shift, standing waves, resonance, sound levels, beats, and acoustic impedance.
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How this tool works
Eight focused modules cover introductory wave physics and practical acoustics.
Every visual updates dynamically while the user changes the physical parameters.
Safety limits bound all inputs and drawing workloads.
Core equations
wave speed: v = fλDoppler effect: f′ = f(v + vL)/(v − vS)string modes: fn = n/(2L)√(T/μ)sound level: β = 10 log10(I/I0)acoustic impedance: Z = ρcAssumptions
- Wave and resonance models are ideal, linear, and one-dimensional unless otherwise stated.
- Doppler calculations use subsonic source and listener speeds.
- Sound-level spreading assumes an isotropic point source in a free field.
- Acoustic reflection assumes normal incidence at a flat boundary.
Limitations
- The workbench does not model nonlinear acoustics, diffraction, broadband spectra, room reverberation, or frequency-dependent material losses.
- Musical-instrument presets are representative educational examples rather than calibrated instrument designs.