11th Class Exercise 14.14

Vibrating Wire Simulation

Vibrating Wire Simulation

This simulation demonstrates the fundamental transverse vibration mode of a wire stretched between two rigid supports. The wire has a mass of 3.5×10⁻² kg and linear mass density of 4.0×10⁻² kg/m, vibrating at 45 Hz.

Current: 45 Hz
Current: 248 N

Calculated Results:

Wire length: 0.875 m

Wave speed: 78.75 m/s

Wavelength: 1.75 m

Formulas:

1. Fundamental frequency: f = (1/2L) × √(T/μ)

2. Wave speed: v = √(T/μ)

3. Wavelength: λ = 2L (for fundamental mode)

Where:

  • f = frequency (Hz)
  • L = wire length (m)
  • T = tension (N)
  • μ = linear mass density (kg/m)
  • v = wave speed (m/s)

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