A doctor using 3 MHz ultrasound measures a 6500 Hz frequency shift as the ultrasound reflects from blood ejected from the heart through the aorta. Assuming that blood inside the heart is essentially at rest and the patient is lying down, what is the difference in blood pressure between the inside of the heart and the aorta? Treat blood as an ideal fluid. The speed of sound in tissue is 1540 m/s. OA 18 103 Pa (14 mm Hg) X O89.0 × 10² Pa (7 mm Hg) OC1.5 OD 3.1 x 10³ Pa (11 mm Hg) 10³ Pa (23 mm Hg) High pressure Aorta Low pressure Hean

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Shock Waves

Shock waves are common in continuum mechanics, and their dominance is attributable to the fact that they are stronger (or even less) compressible. Substantial perturbations propagated as sudden dynamic changes of a compressible medium supersonically. Shock waves are all around us in our daily lives. Lightning, earthquakes, volcanic eruptions, and meteorite impact all produce them in nature. Even the earth, which is protected by its magnetic field, generates a shock wave as in solar wind that travels around 20 Earth radiuses. These shock waves might be either constant, linked to the body, or unsteady, i.e., moving around with time. All of the shocks mentioned above can be damaging, so precautions must be taken to reduce their impact.