Óptica geométrica e ondas · AP Physics 1 Unit 6
Simulador de ressonância acústica e diapasão
Simulador de ressonância acústica e caixa de ressonância de diapasão: oscilações forçadas
- No navegador
- Sem cadastro
- Dedução ao vivo
- Modo projetor
- Folha de exercícios A4
Janela de simulação 3D● 60 FPS
Variáveis de controle do experimento
Hz
Hz
Deduções e métricas em tempo real
Amplificação ressonante Q
--
Regime de oscilação
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Altura do quique
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Acoplamento de energia acústica
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Dedução de fórmulas em tempo real
Fórmula fundamental:
--Substituição de valores:
--Estado físico: --
Exemplos clássicos e armadilhas de exame
Worked Problem
Problema: An oscillator has natural frequency 4Hz. A driving force with T=0.5s is applied. Find forced steady-state frequency and resonant driving frequency.
Derivação passo a passo:
- 1) Forced frequency equals driving frequency: f = 1/0.5 = 2Hz. 2) Resonance requires f_drive = f_natural = 4Hz.
Worked Problem
Problema: Why are marching military troops ordered to break step when crossing bridges?
Derivação passo a passo:
- Cadenced marching exerts periodic driving forces. Matching the bridge's natural frequency triggers violent resonance collapse.
Folha de investigação em aula e exercícios
Q1. Variant 1: Why mount tuning forks on wooden resonance boxes with open ends facing each other?
Answer Key: Resonance boxes couple the fork vibration to an internal air column to amplify sound and direct acoustic waves into the opposite box.
Q2. Variant 2: In resonance curves (amplitude A vs driving frequency f), does smaller damping make the resonance peak sharper or flatter?
Answer Key: Sharper! Lower damping increases the quality factor Q, concentrating energy near f0 to form a steep, sharp resonance peak.
Q3. Variant 3: How do microwave ovens utilize resonance to heat food rapidly?
Answer Key: 2.45GHz microwaves match the dielectric rotational resonance of water dipole molecules in food, generating friction heat.
Perguntas frequentes e erros comuns
What are positive and negative engineering applications of resonance?
Benefits: Radio LC tuning, MRI scanners, microwave heating, violin resonance. Harms: Bridge collapse, lathe vibration wear, aircraft wing flutter.
Can an opera soprano shatter a wine glass with her voice alone?
Yes! The vocal pitch must precisely match the glass resonant frequency (within <0.5Hz) at >105 dB volume for several continuous seconds.
Is the steady-state frequency of forced oscillation governed by the object or the driver?
Strictly by the driving force! The system vibrates at the driver's exact frequency regardless of its own natural pitch.
How do skyscraper tuned mass dampers (e.g. Taipei 101's 660-ton pendulum) mitigate sway?
TMD natural period matches skyscraper sway. As wind oscillates the tower, the pendulum resonates in antiphase, absorbing vibrational kinetic energy.