Waves
Resonance Amplitude
Maximum amplitude occurs when driving frequency equals natural frequency (resonance).
Variables
A_maxm
Maximum amplitude
Peak response amplitude
ωrad/s
Driving frequency
Applied frequency
ω₀rad/s
Natural frequency
Resonant frequency
Derivation
For driven oscillator, amplitude A = F₀/√((k-mω²)² + b²ω²) is maximum near ω = ω₀ = √(k/m).
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