What is the link between gust spectrum and force spectrum, and what is the link between force spectrum and response spectrum? Please give the related formulas.
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- An air whose cross-sections are visible in the figure on the side Channel 40 cm diameter and 60 cm tall test section references The air temperature is 200oC. At the entrance of the Test section A uniform airspeed of 2 m/s was measured.a) the number of Reynolds at the end of the test section (Rex)calculate.b) limit layer thickness at the end of the test sectioncalculate.c) air velocity test on centerlinewhat percentage increases by the end of the section,calculate.d) local surface friction at the end of the test sectioncalculate the coefficient. v = 1,516 . 10-5 m2/s.Hoerner states that the drag coeffi -cient of a flag of 2:1 aspect ratio is 0.11 based on the planformarea. The University of Rhode Island has analuminum flagpole 25 m high and 14 cm in diameter.It flies equal-sized national and state flags together. Ifthe fracture stress of aluminum is 210 MPa, what is themaximum flag size that can be used without breaking theflagpole in hurricane (75 mi/h) winds? (Neglect the dragof the flagpole.)A solid cylinder of diameter D , length L , and density ρ sfalls due to gravity inside a tube of diameter D 0 . The clearance,D 0 - D <<, D , is fi lled with fl uid of density ρ andviscosity μ . Neglect the air above and below the cylinder.Derive a formula for the terminal fall velocity of the cylinder.Apply your formula to the case of a steel cylinder,D = 2 cm, D 0 = 2.04 cm, L = 15 cm, with a film of SAE30 oil at 20 ° C.
- How do we use the Buckingham pi theorem to prove that drag coefficient is dimensionless?An air hockey puck has a mass of 50 g and is 9 cm in diameter. When placed on the air table, a 40 degrees C air film, of thickness 0.12 mm-thickness forms under the puck. a) Using Sutherlands law, what is the viscosity of the air? b) If the puck is travelling at 10 m/s, assuming a linear velocity profile, what is the force on the puck due to shear stress? c)What is the terminal velocity of the puck?A blimp is approximated by a prolate spheroid 90 m longand 30 m in diameter. Estimate the weight of 20 ° C gaswithin the blimp for ( a ) helium at 1.1 atm and ( b ) air at1.0 atm. What might the difference between these twovalues represent ?
- A solid sphere having diameter 5 mm is falling through oil of density 800 kg/m? and dynamic viscosity 0.8 kg/m-s at a constant velocity of 1 cm/s. Drag force on the sphereA ship is towing a sonar array that approximates a submergedcylinder 1 ft in diameter and 30 ft long with itsaxis normal to the direction of tow. If the tow speed is12 kn (1 kn = 1.69 ft/s), estimate the horsepower requiredto tow this cylinder. What will be the frequency of vorticesshed from the cylinder? Use Figs.A solid cone of angle 2Ɵ, base r 0 , and density ρ c is rotating with initialangular velocity ω 0 inside a conical seat,as shown below. The clearance h is filled with oilof viscosity μ. Neglecting air drag, derive an analytical expression for thecone’s angular velocity ω(t) if there is noapplied torque.
- You are given a drone with an average chord length of 8 in., a wingspan of 2.5 ft, and a weight of 300 g. Based on figure 2, would it stay in the air at a speed of 5 m/s? (Assume ρ=1.225 kg/m3 and Nu=1.516*10-5 m^2/s)Here we are looking at a large billboard that will be exposed to a wind load. Use the table to find: a) How much torque is applied to the sign by a wind gust of 30 m / s? b) What types of forces arise when bodies are in a flowing fluid (such as an air stream, as in this case?) Write short, preferably with key words and sketches!For creeping flow over a three-dimensional object, the aerodynamic drag on the object does not depend on (a) Velocity, V (b) Fluid viscosity, ? (c) Characteristic length, L (d ) Fluid density, ? (e) None of these