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- Fit a power law model to the rheological behavior presented in the data: T [=]D/cm^2 y[=]1/2 1 3 2 - 3 30 4 52 5 80 6 100 7 130 8 160 9 175 10 190 11 218 12 240 13 265 (The second data in the table is not necessary to solve it.)Help yourself with matlab to solve it with the following formula: (Photo)A one-fortieth-scale model of a ship’s propeller is tested in atow tank at 1200 r/min and exhibits a power output of 1.4ft . lbf/s. According to Froude scaling laws, what should therevolutions per minute and horsepower output of the prototypepropeller be under dynamically similar conditions?Submit a MATLAB code (.m, word or pdf file) that finds the profile of temperature for a copper rod with the following information after 60 seconds. Length: 50 cm Initial temperature: 25 C Left boundary condition: constant temperature 60 C. Right boundary condition: insulated.
- The vertical cross section of an irrigation canal is modeled by f (x) = 5x2 / x2+ 4 where x is measured in feet and x = 0 corresponds to the center of the canal. Use the integration capabilities of a graphing utility to approximate the fluid force against a vertical gate used to stop the flow of water when the water is 3 feet deep?An engineer is to design a human powered submarine for a design competition. The overall length of the prototype submarine is 2.24 m and its engineer designers hope that it can travel fully submerged through water at 0.560 m/s. The water is freshwater (a lake) at 7-15°C (p=999.1 kg/m3 and u= 1.138 ×103 kg/m-st. The design team builds a one-eighth scale model to test in their university's wind tunnel. The air in the wind tunnel is at 25°C (p= 1.180 kg/m3 and u = 1.849 ×10-5 kg/m-s) and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity?The density of liquid water at 25 degrees celsius equals 62.2lbs/cube ft. Suppose the KD DF stud at the top of the page weighs 13.35lbs. And suppose the KD DF stud is thrown into a swimming pool, Twater=25 degrees celsius. Based on data would the stud: sink completely, partually. or float completely
- The resistance of a sea-going ship is due to wave-making and viscous drag, and it may be expressed in functional form as where FD is the drag force, V is the ship speed, L is its length, B is its width, ρ and µ are the sea water density and viscosity, and g is the gravitational constant. (a) Find the nondimensional parameters that describe the problem. (b) If we are to test a model of the ship, what are the requirements for dynamic similarity? (c) We are going to test a 1/25th scale model of a 100 m long ship. If the maximum velocity of the full-scale ship is 10 m/s, what should the maximum speed of the model be? What should the kinematic viscosity of the model test fluid be compared to the kinematic viscosity of sea water?The aerodynamic drag of a new sports car is to be predicted at a speed of 60.0 mi/h at an air temperature of 25°C. Automotive engineers build a one-third scale model of the car to test in a wind tunnel. The temperature of the wind tunnel air is also 25°C. The drag force is measured with a drag balance, and the moving belt is used to simulate the moving ground (from the car’s frame of reference). Determine how fast the engineers should run the wind tunnel to achieve similarity between the model and the prototype.The data below is from a passenger hot air balloon. The balloon is designed to lift 10-people (80 kg each person). The balloon consists of a basket, a burner- propane tank system. It will lift up when the cold air trapped inside warms up by the burner. Density of air inside the balloon is 99°C: 0.9486 kg/m³, density of air outside balloon is 20°C (ambient): 1.2041 kg/m³, Assume the balloon is a sphere shape, volume =(4/3)pi R3 Mass (kg) Balloon Basket Burner Propane tank 113.4 kg 63.5 kg 22.7 kg 183.7 kg a) Determine the minimum diameter of the balloon that would have a total lifting force to balance the weight of balloon, basket, burner, propane tank and 10 people? b) If the balloon is converted to survey the weather, it will be filled with hydrogen gas (H2). Assume the weight of the people (800kg) is now replaced by onboard equipment, what is minimum diameter needed to keep it afloat at 18km above the surface of the earth?
- A one-third scale model of an airplane is to be tested in water. The airplane has a velocity of 900 km/h in air at −50°C. The water temperature in the test section is 10°C. The properties of air at 1 atm and −50°C: ? = 1.582 kg/m3, ? = 1.474 × 10−5 kg/m·s. The properties of water at 1 atm and 10°C: ? = 999.7 kg/m3, ? = 1.307 × 10−3 kg/m·s. In order to achieve similarity between the model and the prototype, the water velocity on the model should be (a) 97 km/h (b) 186 km/h (c) 263 km/h (d ) 379 km/h (e) 450 km/hBlood of density 1,060 kg/m3 and viscosity 0.0034 Pa/s flows through an aorta with radius 0.013 m. The heart beats at a rate of 73 beats/min. A laboratory model of the aorta, consists of pumping water of density 999 kg/m3 and viscosity 0.0011 Pa/s flowing through a pipe of radius 0.010 m. In order to achieve Womersley number similarity calculate the period of the in-vitro cycle. Give your answer in seconds.A rectangular pier of a bridge in a river is 1.25 m wide by 3.5 m long and the average depth of water is 2.75 m. A model is built to a scale of 1:16. The velocity of flow of 0.75 ms is maintained in the model and the force acting on the model is 4.0 N. What are the values of velocity in and force on the prototype?