Need help doing 7-11 Assume that the average density of the human body is about

Question

Need help doing 7-11 Assume that the average density of the human body is about the same as water (rho = rho w = 1 g/cm^3) and that the area A of the limbs acting on the water is about 600 cm^2. In Eq. 7.14, it is assumed that the density of the animal is greater than the density of the fluid in which it is submerged. If the situation is reversed, the immersed animal tends to rise to the surface, and it must expend energy to keep itself below the surface. How is Eq. 7.14 modified for this case? Derive the relationship shown in Eq. 7.15. Calculate the pressure 150 m below the surface of the sea. The density of sea water is 1.026g/cm^3. Calculate volume of the swim bladder as a percent of the total volume of the fish in order to reduce the average density of the fish from 1.067 g/cm^3 lo 1.026 g/cm^3. The density of an animal is conveniently obtained by weighing it first in air and then immersed in a fluid. Let the weight in air and in the fluid be respectively W1 and W2. If the density of the fluid is rho 1, the average density rho 2 of the animal is rho 2 = rho 1 W1/W1 - W2 Derive this relationship. Starting with Eq. 7.20, show that the pressure P required to withdraw the water from a capillary of radius R and contact angle theta is P = 2T cos theta / R With the contact angle theta = 0 degree, determine the pressure requited to withdraw water from a capillary with a 10^-3 cm radius. Assume that the surface tension T = 72.8dyn/cm. If a section of coarse-grained soil is adjacent to a finer grained soil of the same material, water will seep from the course-grained to the finer grained soil. Explain the reason for this. Design an instrument to measure the SMT. (You can find a description of one such device in [7-4].) Calculate the perimeter of a platform required to support a 70 kg person solely by surface tension. Estimate the maximum acceleration of the insect that can be produced by reducing the surface tension as described in the text.

Explanation / Answer

W=T*L

where T is surface tension and L is length/parameter

T of water =0.0712 N/m

70*9.81 = 0.0712*L

L = 9644.663 m

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