please list assumptions, show work, and explain your reasoning carefully! please don't forget all this thanks...
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4. The aerodynamic behavior of a flying insect is to investigate in a water tunnel using a 10X scale model. The lift force F is believed to be a function of wing size L, flight speed u, flapping frequency w, fluid density P, and fluid viscosity u. Assume that air has a density 1/1000th and a dynamic viscosity 1/100th that of water. (a). List...
A tank contains water (20°C) at the initial height ho, the area of the water surface is At, the water flow from the bottom at a speed of v(t), the exit area is Aex: At Find the function of height h(t) Estimate the time t when all the water runs out. hit)
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1. Consider steady flow of an ideal inviscid fluid with the curved streamlines. 4, = 15 42 = 20 (a). Find the volume flow rate per unit width (out of the plane of the paper) between the two streamlines. (4 points) # (b). Will the pressures of the two streamlines be the same? If not, which one has higher pressure? (4 points)
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2. Consider the flow with the velocity field ū = (4x+2y)i + (2x-4y)ĵ. (a). Is this flow 1-, 2-, 3-dimensional? (2 points) (b). Is this flow steady or unsteady? Why? (2 points) (c). Is this flow compressible or incompressible? Why? (2 points) (d). Is this flow rotational or irrotational? Why? (2 points) (e). Find the equation for a streamline passing through the point (Xo, yo). (4...
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please list assumptions, show work, and explain your reasoning carefully! please don't forget all this thanks 3. Consider incompressible, steady, inviscid flow at vertical velocity v though a porous surface into a row up of height, as shown. Assume that the flow is 2D planar, so neglect any variations or velocity components in the direction IV (a) Find the x-component of velocity, assuming uniform flow at every x location. points) Pind...
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3. Prove that the surface area of a cone with radius r and height his ar(r + Vh2 + y2). Don't forget that the base of the cone has a circle whose area should be included in the surface area Hint: Set up the formula for finding the surface area of a solid of revolution of a curve f for an appropriately chosen...
Please show all work on now all work and explain your reasoning carefully for all questions in order to maximize the possibility of partial credit The spring shown in the diagram below is compressed 50cm and used to launch a 95kg physics student seated on a 5kg sled. Friction on the track is 4 0.15 on the shaded portions and negligible for the solid portions. The track's valley and hill consist of circular shaped segments of radius "R". a. What...
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A capillary tube with a radius of mm is inserted vertically into a container of water. As shown in the picture at right, water wets the inner wall of the capillary with a contact angle of 0°. The surface tension force, Fst, (or capillary force in this context) draws water up the tube until the meniscus reaches a level of hw above the water level in the container. You may assume that surface tension...
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5, A certain tank has a circular bottom area A 25 m2. It is drained by a pipe whose linear resistance is R = The tank contains water whose mass density is 1000 kg/m 120 m.s a) How long will it take for the tank to empty if the water height was initially 16 m? b) Suppose we dump water into the tank at a rate of 0.1 m3/s. If the tank is initially...
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Question 17 1 pts A metal block has a mass of 5 grams and a volume of 1 cubic centimeter. A piece of the same kind of metal with a volume of 2 cubic centimeters has a density 2.5 g/cc. 5 g/cc. 10 g/cc. Question 18 1 pts Ice cubes submerged at the bottom of...