The frequency of a sound wave is measured in hertz (Hz). The hertz is identical to per second, that is 1 Hz = 1 s−1. The intensity of a sound wave can be expressed as the power per unit area or, in SI units, W/m2. The intensity of sound is also often commonly quoted using the unit decibel or dB. The distance, d, that a sound wave propagates through a material in a time, t, is given by d = vt, where v is the speed of sound in the material. 2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu-ation) of the intensity. This can be described by the attenuation coefficient, a. In an experimentto investigate this attenuation in the chest wall of humans, measurements were conducted inwhich the attenuation of ultrasound through sample human tissue was measured as a functionof the ultrasound frequency, f [1].(a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef-ficient as a function of the frequency. Fit a linear function to the data points shown. Youshould draw an approximate line of best fit, determine the slope and intercept of your fit,and then quote the final equation for your line.121021345Frequency (MHz)Attenuation coefficient (dB/cm)

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College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

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The frequency of a sound wave is measured in hertz (Hz). The hertz is identical to per second, that is 1 Hz = 1 s−1. The intensity of a sound wave can be expressed as the power per unit area or, in SI units, W/m2. The intensity of sound is also often commonly quoted using the unit decibel or dB. The distance, d, that a sound wave propagates through a material in a time, t, is given by d = vt, where v is the speed of sound in the material.

2. As ultrasound propagates into the body, absorption and scattering result in a decrease (or attenu-
ation) of the intensity. This can be described by the attenuation coefficient, a. In an experiment
to investigate this attenuation in the chest wall of humans, measurements were conducted in
which the attenuation of ultrasound through sample human tissue was measured as a function
of the ultrasound frequency, f [1].
(a) The figure below (adapted from [1]) shows a set of measurements of the attenuation coef-
ficient as a function of the frequency. Fit a linear function to the data points shown. You
should draw an approximate line of best fit, determine the slope and intercept of your fit,
and then quote the final equation for your line.
12
10
2
1
3
4
5
Frequency (MHz)
Attenuation coefficient (dB/cm)

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