Óptica geométrica y ondas · AP Physics 1 Unit 6
Simulador de resonancia acústica y diapasones
Simulador de resonancia acústica y caja de resonancia con diapasones: oscilaciones forzadas
- Cálculo en cliente
- Sin registro
- Derivación en vivo
- Modo proyector
- Hoja de trabajo A4
Ventana de simulación 3D● 60 FPS
Variables de control del experimento
Hz
Hz
Derivaciones y métricas en tiempo real
Amplificación resonante Q
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Régimen de oscilación
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Altura del rebote
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Acoplamiento de energía acústica
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Derivación de fórmulas en tiempo real
Fórmula básica:
--Sustitución de valores:
--Estado físico: --
Ejemplos clásicos y análisis de errores en exámenes
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.
Derivación paso a paso:
- 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?
Derivación paso a paso:
- Cadenced marching exerts periodic driving forces. Matching the bridge's natural frequency triggers violent resonance collapse.
Hoja de indagación en clase y tareas
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.
Preguntas frecuentes y errores conceptuales
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.