A 2 m diameter cylinder rotates at 1800 rpm in an air stream (p=1226 kg/m³) of 25 m/sec. Estimate the theoretical lift per unit length of the cylinder (in Newtons)
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- Air at 1000C flows at an inlet velocity of 2 m/s between two parallel flat plates spaced 1 cm apart. Estimate the distance from the entrance to the point where the boundary layers meet.For those who think electric cars are sissy, Keio University inJapan has tested a 22-ft-long prototype whose eight electricmotors generate a total of 590 horsepower. The “Kaz” cruisesat 180 mi/h (see Popular Science, August 2001, p. 15). If thedrag coefficient is 0.35 and the frontal area is 26 ft2, what percentageof this power is expended against sea-level air drag?The so-called Rocket Man, Yves Rossy, fl ew across the Alps in2008, wearing a rocket-propelled wing-suit with the followingdata: thrust = 200 lbf, altitude = 8,200 ft, and wingspan = 8 ft(http://en.wikipedia.org/wiki/Yves_Rossy). Further assume awing area of 12 ft2, total weight of 280 lbf, CDq = 0.08 for thewing, and a drag area of 1.7 ft2 for Rocket Man. Estimate themaximum velocity possible for this condition, in mi/h.
- The helium-filled balloon in Fig. is tethered at 20°Cand 1 atm with a string of negligible weight and drag. Thediameter is 50 cm, and the balloon material weighs 0.2 N,not including the helium. The helium pressure is 120 kPa.Estimate the tilt angle θ if the airstream velocity U is (a) 5 m/sor (b) 20 m/s.The 2013 Toyota Camry has an empty weight of 3190 lbf,a frontal area of 22.06 ft2, and a drag coefficient of 0.28. Itsrolling resistance is Crr ≈ 0.035. Estimate the maximumvelocity, in mi/h, this car can attain when rolling freely atsea level down a 4° slope.Consider an aircraft that has the maximum takeoff weight (MTOW) of 19500kg. The aircraft is required to cruise at 10500 m at Mach 0.6. a) Analysis and sizing of the wing (lift and drag calculations, aerofoil selection etc.) Wing area: 118588.94mm^2
- A ship is 125 m long and has a wetted area of 3500 m2.Its propellers can deliver a maximum power of 1.1 MWto seawater at 20°C. If all drag is due to friction, estimatethe maximum ship speed, in kn.A buoyant ball of specific gravity SG < 1 dropped intowater at inlet velocity V0 will penetrate a distance h andthen pop out again, as in Fig. Make a dynamicanalysis of this problem, assuming a constant drag coefficient,and derive an expression for h as a function ofthe system properties. How far will a 5-cm-diameterball with SG = 0.5 and CD ≈ 0.47 penetrate if it entersat 10 m/s?Estimate the annual production of a 12 m diameter horizontal axis wind turbine operating atstandard atmospheric conditions (r = 1.225 kg/m3 ) in an 8 m/s average wind speed regime. speed probality density is given by the Rayleigh density distribution.
- Air equivalent to one of a standard height of 4000 m flows at 450 mi/h over a wing with a thickness of 18 cm, a chord of 1.5 m, and a wingspan of 12 m. What is the appropriate value of the Reynolds number to correlate lift and drag on this wing?The drag of an airfoil (Fig.) increases considerably ifyou turn the sharp edge around 180° to face the stream. Canyou explain this?Q1/ Boeing 737 - 60 flies at altitude 15000m above sea level with speed 85 m/s and total drag coefficient equal to ( 5) . Find the drag force at this fly condition. Given data IR=287,g=9.81 m/s2 , rho O=0.3648 kg/m2 and wing area = 120m^ ^ 2^ *