1.The density P Determine how the density varies with pressure along the depth h. The density at the surface of the fluid is of a fluid varies with depth h, although its bulk modulus K can be assumed constant. Po.
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- using the concept and formulas in dynamics of rigid bodiesTwo vertical and connected cylindrical tanks of diameter D are open to the atmosphere and they contain water at a height of h in the initial state, as shown in the figure. As the radial blades in the left tank are rotated about the centerline of the tank, some water in the right tank flows into the left tank. Determine the angular velocity of radial blades ? such that half of water in the right tank flows into the left tank. Also, derive a general relation for angular velocity as a function of initial height of water in the tank. Assume water in the tanks would not spill. D = 2R = 45 cm, h = 40 cm and g = 9.81 m/s2.A spherical neutrophil 16µm in diameter is resting as shown in the attached photo. The pressure difference between the inside and outside of the cell is 7.5Pa. a) Draw free body diagrams of the whole cell and one hemisphere of the cell. b) Calculate cortical tension in the cell. In a micropipette aspiration experiment, a suction pressure of 52.5 Pa was used to aspirate the neutrophil membrane. c) Draw free body diagrams of the whole cell under micropipette aspiration and the portion of the cell in the micropipette. What is the diameter of the micropipette tip used to make this hemispherical projection? Next, the micropipette aspiration was stopped, and the cell was treated with Cytochalasin D, an inhibitor of actin polymerization, causing the cortical tension to decrease by half. d) Assuming the pressures inside and outside the cell have not changed, what is the new cell radius? e) If the same micropipette was used to aspirate the cell, what would be the new suction pressure?