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Understanding Resonators: Mechanics & Acoustics Lab

Explore mechanical and acoustical resonators, study mass-spring oscillators, analyze resonance frequencies, and learn Helmholtz resonator principles. Engage in hands-on experiments and data analysis for a comprehensive understanding.

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Understanding Resonators: Mechanics & Acoustics Lab

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  1. Physics 145 Introduction to Experimental Physics I Instructor: KarineChesnel Office: N319 ESC Tel: 801- 422-5687 kchesnel@byu.edu Office hours: on appointment Class website: http://www.physics.byu.edu/faculty/chesnel/physics145.aspx

  2. Lab 11 Mechanical & Acoustical Resonators

  3. Mechanical resonators Spring – mass resonator Pendulum

  4. At rest • In motion - kx - bv mg Fexternal Mechanical resonators Second Newton’s law

  5. Analogy with RLC circuit • Complex notation Mechanical resonators - kx - bv mg F0

  6. Velocity detector Oscillation visual meter oscillator Driving Force device Damping element Mechanical resonators

  7. Read Amplitude Peak to peak Mechanical resonators

  8. Lab 11: Resonators A. Damped Mass-Spring Oscillator • L10.1: Set up apparatus • L10.2: Predict the resonance frequency of oscillator • (measure m, k, and b) • Simulate the frequency response • L10.3: Measure the frequency response of the oscillator • - measure the peak-to-peak amplitude at each point • (wait for stabilization for each point in frequency) • - plot your data App vs. f • L10.4: Fit the data to resonance peak (in Mathematica) • - deduct a refined value for k and for b

  9. Acoustical resonators Music instruments

  10. Acoustical resonators Helmholtz resonator

  11. Acoustical resonators Helmholtz resonator See derivation at http://www.phys.unsw.edu.au/jw/Helmholtz.html

  12. Acoustical resonators Helmholtz resonator experiment

  13. Lab 11: Resonators B. Helmholtz Resonator • L10.5: Play with the resonator (blow into it) • L10.6: Set the experiment up • - Locate the resonance frequency • - optimize the position of the speaker • L10.7: Measure the frequency response of the resonator • with a microphone (plug into computer jack) • Create a Labview program to read the signal • and sample at 20kHz, over 0.1s • L10.8: Map out the frequency response • L10.9: Measure the resonance frequency • and compare with prediction (measure A, V and l)

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