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Physics 145 Introduction to Experimental Physics I Instructor: Karine Chesnel

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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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slide1

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

slide3

Lab 11

Mechanical & Acoustical

Resonators

slide4

Mechanical resonators

Spring – mass resonator

Pendulum

slide5

At rest

  • In motion

- kx

- bv

mg

Fexternal

Mechanical resonators

Second Newton’s law

slide6

Analogy with RLC circuit

  • Complex notation

Mechanical resonators

- kx

- bv

mg

F0

slide7

Velocity

detector

Oscillation

visual meter

oscillator

Driving Force

device

Damping

element

Mechanical resonators

slide8

Read

Amplitude

Peak to peak

Mechanical resonators

slide9

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
slide10

Acoustical resonators

Music instruments

slide11

Acoustical resonators

Helmholtz resonator

slide12

Acoustical resonators

Helmholtz resonator

See derivation at

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

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Acoustical resonators

Helmholtz resonator experiment

slide14

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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