Wave on a String Simulation
This simulation demonstrates how different points on a string oscillate with the same frequency (60Hz) but different amplitudes and phases, according to the wave equation: y(x,t) = 0.06 sin(2πx/3) cos(120πt)
Animation
Measure Point
Current: 60 Hz
Current: 1x
Key Observations:
- All points oscillate with the same frequency (60Hz)
- Points in the same loop have the same phase
- Amplitude varies along the string according to 0.06 sin(2πx/3)
Current: 0.375 m
Point Measurements:
Amplitude: 0.0424 m
Phase: in phase
Frequency: 60 Hz
Wave Equation: y(x,t) = 0.06 sin(2πx/3) cos(120πt)
Amplitude Function: A(x) = 0.06 sin(2πx/3)
Frequency: ω = 120π rad/s → f = 60Hz
Wavelength: λ = 3 m (from 2π/λ = 2π/3)
