
doi: 10.1121/1.407663
One of the most attractive features of many acoustic teaching laboratory experiments is their ability to produce high-quality (precision) data. This affords the possibility of also using the results of these laboratory exercises to teach advanced techniques for data analysis that exploit the ubiquity of least-squares data analysis routines which are now included in most hand-held calculators and all personal computer plotting packages. This talk will concentrate on the transformation of general two-parameter nonlinear equations into linear forms suitable for least-squares-fitting techniques. This transformation technique will be demonstrated to (i) extract the effective moving mass of the spring to correct the simple ω=(k/m)1/2 expression for the simple harmonic oscillator; (ii) extract the distance from the end of the pendulum string to the pendulum bob center-of-mass in the simple pendulum experiment; (iii) extract the location of the acoustic center of a projector from measurement of the free-field pressure versus separation; and (iv) extract the cutoff frequency and thermodynamic sound speed from the phase speed versus frequency measurement in a water-filled, pressure-released waveguide.
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