Q2: For the configuration shown in Fig.P2 below, what must be the value of the specific weight (or density) of the unknown fluid? Show steps and Express your answer is kg/m³. 0.1m 0.14 m Open Open Water 0.125 m 0.084 m Unknown fluid 0.04 m

P1.5 An artificial solar pond is a body of water with a density gradient created by adding salt to the water. Obtain an expression for the variation of pressure P with depth - assuming the density distribution to have the linear form, p(=) = p, + az, where Po is the density at the surface and a is a constant. The ambient pressure is Po. [Answer: P(z) = P, + gz(p. + az /2)]

Q1: Apply appropriate solution method using math principles to prove that "the pressure at a point in a fluid has the same magnitude in all directions". Support your answer with sketch. Answer: Px Pz = Pn P are the mean pressures at the three surfaces in the x- and z-directions. Q2: Formulate the issue and identify key variables to prove that [AP = P2 - P, = pg Az = y, Az], where y, and p are the specific weight and density of the fluid, respectively. Az is the vertical distance. Support your answer with sketch. Q3: From fluid mechanics science perspective, define the center of gravity and the center of pressure. Q4: Identify the hydrostatic force acting on the top surface of a submerged rectangular plate by applying principles of engineering for the following cases: 1 tilted plate, (2 vertical plate, and 3 horizontal plate. Support your answer with sketch. Q5: By applying principles of fluid mechanics science, define the "rigid-body" and identify its features. Q6: Formulate the issue…

P1.) A closed cylindrical tank 1.5 m in diameter and 4 m long is completely filled with gasoline (sp.gr. = 0.82) and accelerated horizontally at 3 m/s². Find the total force acting at the rear wall and at the front wall of the tank. Find also the accelerating force on the fluid mass. Answer: 10.66 kN and F = 17.36 kN Subject: Fluid Mechanic Lesson: Relative Equilibrium of Liquids Fundamentals of Fluid Flow