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- 8) A) A rectangular plate with dimensions 3m x 5m is submerged horizontally in a pool of water. Find the fluid Force on one side of the plate if it is 2m below the water's surface. Ans: 147000 J b) Find the Force on one side of the plate if it is submerged vertically and the edge of the plate is 2m below the surface. Ans: 661500J 9) Find the COM of the region under f(x)= 6-2x, [0, 3] Ans: (1, 2)6) A tower used in a wind turbine system had a stiffness of 790N/m after displacing 10cm. Find the weight(in gram) that was connected to this tower. Assume g.- 10.174 m s2SHOW THE TABLE USED! A fixed amount of carbon dioxide goes through a polytropic process where n=1.4. The initial temperature of the CO2 is 250 K. The final temperature of the CO, is 400 K. If the mass of the CO2 is 12 kg and behaves as an ideal gas, determine the work, the change in internal energy, and the heat transfer during the process (in kJ). Note that PV=mRT. In this problem, can the carbon dioxide be considered an ideal gas at the initial conditions if the initial pressure is 150 kPa? Justify your answer quantitatively.
- 2) a) A container filled with water (p= 1000 kg/m³) sits on a scale. The scale shows a reading of 15.0 N. Afterward, a weight with a mass of 0.2 kg and a volume of 2.35 × 10-5 m³ is submerged in the water without any water spilling out. Neither the weight nor the string it hangs from is in contact with the container or the scale. Refer to the figure on the next page. b) What does the scale show when the weight is freely suspended in the water? c) What does the scale show when the weight is lowered to the bottom of the container? Fo THEQ1. a) In an adult, the aorta's radius is normally 1.5 cm and blood moves through it at the average velocity of 30 cm/s. If a typical capillary vein has a constant radius of 5 x10m and blood passes through them with a velocity of 0.1 cm/s, approximately how many capillaries are needed in a body? b) Benzene at 1 atm and 80°C enters the pipe system given in the below figure, with a Reynolds number of 130000 and leaves the system at 60°C. Assuming that diameters of the pipes at the exit are equal to each other, calculate the Reynolds number on one of the exit pipes (density of liquid benzene at 80° C= 813 kg/m' and at 60°C = 835 kg/m³). 3 in st 80 5 in st 80 3 in st 80ols Mathematical Mod. x n / 31 • Exercise: Obtain the equivalent stiffness for the following spring networks. kl i) ► xl x2 www twww k3 k2 kl ww. x2 k3 wwwww k2 i) F ype here to search
- 1. A water vessel was designed to go 149 miles underwater, with the surrounding fluid having a density of 1,030,000 g/m^3. What is the pressure difference between the outside and inside of the wall?Q2. The velocity distribution in the boundary layer over a high spillway face was found to have the following form: 0.22 U where u is Local Velocity, U is Free stream velocity and & is boundary layer thickness along y axis. Find the following: a) Ratio of Displacement thickness to that Boundary Layer Thickness b) Ratio of Momentum thickness to that Boundary Layer Thickness c) Ratio of Energy thickness to that Boundary Layer ThicknessThe unstretched length of springs AB and AC are 0.8485 m and 3 m, respectively. The weight of the box is 84 N. The system is in equilibrium and the springs are stretched, find the following with complete fbda) Force in spring AB and force in spring ACb) Resultant force of the systemc) Direction of resultant from the horizontal
- A liquid has a volume of 1.3m^3 and weighs 1500kg Determine its density (kg/m^3) Choices are: A. 1353.85 B. 1113.85 C. 1553.85 D. 1153.851.25.A tank contains 80 ft³ of air at a pressure of 350 psi. If the air is cooled until its pressure and temperature decrease to 200 psi and 70•F respectively, what is the decrease in internal energy?