Wind speed is measured as 3 m/sec at a height of 10 m. Plot wind speed as a function of height from 10 m to 100 m ( Useintervals of 10) for stability class A, for an urban area.
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Wind speed is measured as 3 m/sec at a height of 10 m. Plot wind speed as a function of height from 10 m to 100 m ( Useintervals of 10) for stability class A, for an urban area.
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- The following equation may be used to estimate the take-off ground run for an aircraft: Equation has been attached as an image. Calculate the take-off ground run, from a runway at ISA-SL conditions, for a twin engine aircraft for which the following data may be assumed Aircraft lift-off speed 155 knots Max take-off gross weight 220 tonnes Wing planform area (S) 358 m Wing CL (t/o flaps deployed, a = 0) 1.1 Wing span 53.18 m Oswald efficiency factor, e 0.7 KGE = CD(IGE) / Co(OGE) 0.4 Co sum (fuselage, wing, tailplane and nacelle) 0.015 Co for undercarriage 0.021 Co for flaps at taking-off setting 0.0073 Coefficient of rolling friction, u 0.02 Engine thrust (assumed constant) 310 kN per engine It may be assumed that 1knot = 0.51444 m/s It may be assumed that 1knot = 0.51444 m/sEx. The force required to tow a 1:30scale model of a motor boat in a lake at a speed of 2m/s is 0.5 N, Assuming that the viscosity resistance due to water and air is negligible in comparison with the wave resistance, calculate the corresponding speed of the prototype for dynamically similar conditions. What would be the force required to propel the prptype at that velocity in the same lake? Ans.: 10.95m/s, 13500N(b) A Formula 1 team tests their car in a wind tunnel at a scale of 50%, at a speed of Vwinarunnet = 50 m/s. The measured downforce at this speed is Foownforce.WT = 3000 N and the model reference area is Aref wT = 0.5 m?. 1. Find the downforce magnitude on the full-scale race car at the same Reynolds number. Assume constant air density p = 1.2 kg/m. II. It is said that F1 cars could travel upside down, as shown below. At what speed should the full-scale car travel to achieve this, if its mass is m = 740 kg? The acceleration of gravity is g = 9.81 m/s?. Downforce Weight
- Data has been gathered from a lifting system used to transport engine parts. The system consists of a drum and cable. The following data was obtained when the drum lowers the load (assume constant acceleration). Drum diameter = 0.8m Mass of load = 3kg Initial velocitv = 0 m/s Time to descend = A secs 2. ( Distance travelled = 0.25m You have been asked to use this information to determine with 4 s.f. accuracy: Drum Cable a) The final linear velocity of the load b) The linear acceleration of the load Load c) The final angular velocity of the drum d) The angular acceleration of the drum e) The tension force in the cable f) The torque applied to the drum In determining the above quantities, you should clearly state the formulae used and apply dimensional analysis techniques to show that all values/units used are homogeneous.Q2: A wind farm is proposed to be built outside of Baghdad Airport, The airport wind data obtained at a zref = 10 m., gave a Weibull wind frequency distribution fit with coemciens of k = 1.54 andc = 3.78 m/s. The wind turbines in the proposed wind farm have a rated power of Prated = 1.5 MW, a rotor radius of R = 35 m, and a hub height of H = 65 m. The rated wind speed for the wind turbines is Vrated = 8 m/s and the cut-out wind speed is Veutout = 20 m/s. Find the followings: (a) Based on the Weibull coefficients at zref= 10 m., determine the new Weibull coefficients for the wind speed at the wind turbine hub height. Assume n =0.23. (b) What is the probability for the wind at the hub height to be between Vrated and Veutoul? (c) Based on this, what is the expected Annual Energy Production (AEP) [MW-h], for one of the wind turbines in the wind farm? Q3:Find the size of a wind turbine rotor (diameter in m) that will generate 100kW of electrical power in a steady wind (hub height) of 7.5 m/s. Assume that the air density is 1.225 kg/m3, Cp = 16/27 and n = 1. %3D
- #4 1.11 For a small particle of styrofoam (1 lbm/ft) (spherical, with diameter d = 0.3 mm) falling in standard air at speed V, the drag is given by FD-3mVd, where is the air viscosity. Find the maximum speed starting from rest, and the time it takes to reach 95 percent of this speed. Plot the speed as a function of time. s) Answer: (Vmax=0.0435",t=0.0133 SA model of the Airbus 320 is tested in a wind tunnel using air at standard conditions. If the tunnel airspeed is 50m/s, calculate the water speed if the same model is to be tested in a water tunnel atdynamically similar conditions. Take mair=1.73 x 10-5Pa.s, mwater=10-3Pa.s, rair=1.225kg/m3 andrwater=1000 kg/m3.= 3570 T AC =144 Example: 1.5 ft It is desired to determine the drag force at a given speed on a prototype sailboat hull. A model is placed in a test channel and three cables are used to align its bow on the channel centerline. For a given speed, the tension is 40 lb in cable AB and 60 lb in cable AE. Flow 4 ft Determine the drag force exerted on the hull and the tension in cable AC. Choc ug the h- as the free hod- DApress the
- Asap Find the whirling speed, Nc, (in cps) of a shaft 10 mm in diameter and 1.0 m long carrying a mass of 2 kg at its midpoint. The density (p) of the shaft material is 30 Mg/m³ and modulus 100 GN/m². Young modulus is Assume the shaft to be freely supported.An underwater device which is 2m long is to be moved at 4 m/sec. If a geometrically similar model 40 cm long is tested in a variable pressure wind tunnel at a speed of 60 m/sec with the following information, Poir at Standard atmospheric pressure = 1.18kg/m³ Pwater = 998kg/m3 Hair = 1.80 x 10-5 Pa-s at local atmospheric pressure and Hwater = 1 × 10-3 Pa-s then the pressure of the air in the model used times local atmospheric pressure isIn the field of air pollution control, one often needs to sample the quality of a moving airstream. In such measurements a sampling probe is aligned with the flow as sketched in Fig. A suction pump draws air through the probe at volume flow rate V· as sketched. For accurate sampling, the air speed through the probe should be the same as that of the airstream (isokinetic sampling). However, if the applied suction is too large, as sketched in Fig, the air speed through the probe is greater than that of the airstream (super iso kinetic sampling). For simplicity consider a two-dimensional case in which the sampling probe height is h = 4.58 mm and its width is W = 39.5 mm. The values of the stream function corresponding to the lower and upper dividing streamlines are ?l = 0.093 m2/s and ?u = 0.150 m2/s, respectively. Calculate the volume flow rate through the probe (in units of m3/s) and the average speed of the air sucked through the probe.