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Physics 145 Introduction to Experimental Physics I Instructor: Karine Chesnel Office: N319 ESC Tel: 801- 422-5687 [email protected] Office hours: on appointment Class website: http://www.physics.byu.edu/faculty/chesnel/physics145.aspx . Lab 11 Mechanical & Acoustical

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Physics 145

Introduction to Experimental Physics I

Instructor: KarineChesnel

Office: N319 ESC

Tel: 801- 422-5687

[email protected]

Office hours: on appointment

Class website:

http://www.physics.byu.edu/faculty/chesnel/physics145.aspx


Lab 11

Mechanical & Acoustical

Resonators


Mechanical resonators

Spring – mass resonator

Pendulum


  • In motion

- kx

- bv

mg

Fexternal

Mechanical resonators

Second Newton’s law


  • Complex notation

Mechanical resonators

- kx

- bv

mg

F0


Velocity

detector

Oscillation

visual meter

oscillator

Driving Force

device

Damping

element

Mechanical resonators


Read

Amplitude

Peak to peak

Mechanical resonators


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


Acoustical resonators

Music instruments


Acoustical resonators

Helmholtz resonator


Acoustical resonators

Helmholtz resonator

See derivation at

http://www.phys.unsw.edu.au/jw/Helmholtz.html


Acoustical resonators

Helmholtz resonator experiment


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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