QuestionJuly 29, 2025

For this discussion, review your readings for Module 6.1. You must complete your post before you can see what other students have posted. In your post include the following: 1. Describe what are the Physics principles "behind" the ultrasound machines used in medical diagnostics? Use full and complete sentences in your answer. 2. Use the values for density and the speed of ultrasound given in College Physics: Chapter 17 Section 7>Table 175. and calculate the acoustic impedance of blood and bones. 3. Compare your results with those provided in Table 17.5. and answer the following question: are your values close to those given? Explain your answer and show your calculations. Use the D2L Math Editor if necessary. 4. Conclude by saying what you learned from this exercise.

For this discussion, review your readings for Module 6.1. You must complete your post before you can see what other students have posted. In your post include the following: 1. Describe what are the Physics principles "behind" the ultrasound machines used in medical diagnostics? Use full and complete sentences in your answer. 2. Use the values for density and the speed of ultrasound given in College Physics: Chapter 17 Section 7>Table 175. and calculate the acoustic impedance of blood and bones. 3. Compare your results with those provided in Table 17.5. and answer the following question: are your values close to those given? Explain your answer and show your calculations. Use the D2L Math Editor if necessary. 4. Conclude by saying what you learned from this exercise.
For this discussion, review your readings for Module 6.1. You must complete your post before you can see what other students have posted. In your post include the following: 1. Describe what are the Physics principles "behind" the ultrasound machines used in medical diagnostics? Use full and complete sentences in your answer. 2. Use the values for density and the speed of ultrasound given in College Physics: Chapter 17 Section 7>Table 175. and calculate the acoustic impedance of blood and bones. 3. Compare your results with those provided in Table 17.5. and answer the following question: are your values close to those given? Explain your answer and show your calculations. Use the D2L Math Editor if necessary. 4. Conclude by saying what you learned from this exercise.

Solution
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Answer

Z_{\text{blood}} = 1664200 \, \text{kg/(m}^2\cdot\text{s)}, Z_{\text{bone}} = 7548000 \, \text{kg/(m}^2\cdot\text{s)}. Explanation 1. Describe Physics Principles Behind Ultrasound Machines Ultrasound machines use high-frequency sound waves to create images of internal body structures. The principles include wave propagation, reflection, and refraction. Sound waves are emitted by a transducer, penetrate the body, and reflect off tissues. These echoes are captured and converted into images. 2. Calculate Acoustic Impedance of Blood Acoustic impedance (Z) is calculated using Z = \rho \cdot v, where \rho is density and v is speed of sound. For blood, given \rho = 1060 \, \text{kg/m}^3 and v = 1570 \, \text{m/s}, Z_{\text{blood}} = 1060 \times 1570 = 1664200 \, \text{kg/(m}^2\cdot\text{s)}. 3. Calculate Acoustic Impedance of Bones For bones, given \rho = 1850 \, \text{kg/m}^3 and v = 4080 \, \text{m/s}, Z_{\text{bone}} = 1850 \times 4080 = 7548000 \, \text{kg/(m}^2\cdot\text{s)}. 4. Compare Results with Table 17.5 Table 17.5 provides similar values for acoustic impedance. The calculated values are close, indicating accurate calculations based on provided densities and speeds. 5. Conclusion This exercise reinforced understanding of ultrasound physics and the calculation of acoustic impedance, highlighting its importance in medical diagnostics.

Explanation

1. Describe Physics Principles Behind Ultrasound Machines<br /> Ultrasound machines use high-frequency sound waves to create images of internal body structures. The principles include wave propagation, reflection, and refraction. Sound waves are emitted by a transducer, penetrate the body, and reflect off tissues. These echoes are captured and converted into images.<br /><br />2. Calculate Acoustic Impedance of Blood<br /> Acoustic impedance ($Z$) is calculated using $Z = \rho \cdot v$, where $\rho$ is density and $v$ is speed of sound. For blood, given $\rho = 1060 \, \text{kg/m}^3$ and $v = 1570 \, \text{m/s}$, $Z_{\text{blood}} = 1060 \times 1570 = 1664200 \, \text{kg/(m}^2\cdot\text{s)}$.<br /><br />3. Calculate Acoustic Impedance of Bones<br /> For bones, given $\rho = 1850 \, \text{kg/m}^3$ and $v = 4080 \, \text{m/s}$, $Z_{\text{bone}} = 1850 \times 4080 = 7548000 \, \text{kg/(m}^2\cdot\text{s)}$.<br /><br />4. Compare Results with Table 17.5<br /> Table 17.5 provides similar values for acoustic impedance. The calculated values are close, indicating accurate calculations based on provided densities and speeds.<br /><br />5. Conclusion<br /> This exercise reinforced understanding of ultrasound physics and the calculation of acoustic impedance, highlighting its importance in medical diagnostics.
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