Final answer:
The acoustic impedance of fat tissue is calculated by multiplying the tissue's density by the speed of ultrasound through the tissue, according to the formula Z = ρu.
Step-by-step explanation:
To show that the acoustic impedance of fat tissue is 1.34×106 kg/(m².s), we can use the equation Z = ρu, where Z is the acoustic impedance, ρ (rho) is the density of the tissue, and u is the speed of ultrasound through the tissue. The values for the density and speed of ultrasound in fat tissue can be found in Table 17.5. Once we have these values, we multiply them together to get the acoustic impedance.
For example, if the density of fat tissue (ρ) is 950 kg/m3 and the speed of ultrasound (u) through fat tissue is 1410 m/s, then the acoustic impedance (Z) of fat tissue would be calculated as follows:
Z = ρu = 950 kg/m3 × 1410 m/s = 1.34×106 kg/(m².s)
This calculation confirms that the acoustic impedance value provided in the question is indeed correct.