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🎵 Natural Frequency Calculator
Calculate natural frequency, period, and resonance characteristics of vibrating systems
📐 Natural Frequency Formulas
f_n = (1/2π) × √(k/m)
T = 1/f_n = 2π × √(m/k)
ω_n = √(k/m)
f_n = (1/2π) × √(g/L) (Pendulum)
f_n = natural frequency, T = period, ω_n = angular frequency, k = stiffness, m = mass, g = gravity, L = length
💡 Tips
- Natural frequency is independent of amplitude for linear systems
- Higher stiffness increases natural frequency
- Higher mass decreases natural frequency
- Avoid operating at natural frequency to prevent resonance
- Damping reduces resonance amplitude but not natural frequency
- Multiple degrees of freedom have multiple natural frequencies