Use the method of successive approximation (at least 3 approximations) to compute for the lift, drag, tail load and forward inertia force for the aircraft having the following specifications: Aircraft Model/Make: Cessna 172 Skyhawk Category: Normal MTOW: 2558 b Cruise speed: 124 knots wing area: 174 ft² Load Factor in: 1₁ Distance from the center of pressure of the tail plane to aircraft CG: 15'2" Assume engine-off conditions Use the curves for the angle of attack, drag coefficient and moment coefficient as shown below.
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- Given: The plane accelerates in its current trajectory with a= 100 m/s^2 Farag Angle theta= 5° W=105 kips F_drag= 80 kips m= 1000 lbs Find: F_thrust, F_lift Please include the KD. Fthrust Futel t Fueight 000 BY NC SA 2013 Michael SwanbomThe 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/sQ: Consider a drag force is F is exerted on a sliver by the pressurized air as it moves through the nozzle for air jet spinning as shown in Fig attached. Physical factor influence the drag force F on the sliver is the diameter of the nozzle D: also the velocity of the sliver V. The fluid properties involved are the density p and the viscosity of the air jet p. Derive an expression for the drag on the sliver by the jet of air applying Buckingham Pi theorem.
- QH03: Aerodynamic Model: - Circular Disk Page 1 o Inside Dia = 40 mm Outside Dia = 80 mm • Angle of Attack= 15 Degree • Lift Force= 0.38 N • Drag Force=0.40 N • Wind Velocity= 20 m/sec • Air Temperature= 30 C (Note: Take Air Density at 30 C) Required: - Find Lift and Drag Coefficient at 15 Degree Attack Angle.(b) A wind-tunnel experiment is performed on a small 1:5 linear-scale model of a car, in order to assess the drag force F on a new full-size car design. A dimensionless "drag coefficient" Ca is defined by C, =- pu'A where A is the maximum cross-sectional area of the car in the flow. With the model car, a force of 3 N was recorded at a flow velocity u of 6 m s. Assuming that flow conditions are comparable (i.e., at the same Reynolds number), calculate the expected drag force for the full-sized car when the flow velocity past it is 31 m s (equivalent to 70 miles per hour). [The density of air p= 1.2 kg m.]8.1. An airplane wing of 3 m chord length moves through still air at 15°C and 101.3 kPa at a speed of 320 km/h. A !:20 scale model of this wing is placed in a wind tunnel, and dynamic similarity between model and prototype is desired. (a) What velocity is necessary in a tunnel where the air has the same pressure and temperature as that in flight? (b) What velocity is necessary in a variable-density wind tunnel where absolute pressure is 1 400 kPa and temperature is 15°C? (c) At what speed must the model move through water (15°C) for dynamic similarity?
- The moment of the torpedo control unit in water was tested with a 1:8 scale scale model in a water tunnel of identical properties with a speed of 20 m/s if the measured moment in the model was 14 Nm. calculate 1) Determine the velocity of the prototype using the Reynolds number analogy. 2) Find the ratio of the forces occurring in the model and prototype. Using the analogy of Euler number 3) find the moment that occurred with the prototype.1:25 scale model of a submarine is tested at 180 ft/s in a wind tunnel using sea-level standard air. What is the prototype speed in seawater at 20°C for dynamic similarity? If the model drag is 1.6lb, what is the prototype drag?Aerodynamic Model: - Circular Disk Inside Dia= 40 mm Outside Dia= 80 mm • Angle of Attack= 15 Degree • Lift Force= 0.38 N • Drag Force=0.40 N • Wind Velocity= 20 m/sec Air Temperature= 30 °C (Note: Take Air Density at 30 °C) Required: - Find Lift and Drag Coefficient at 15 Degree Attack Angle.
- 2. A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s. Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 105 Pa.s. Wind tunnel test section V Poo, P Model Shield FD Drag balance Strut2. A student team is to design a human-powered submarine for a design competition. The overall length of the prototype submarine is 4.85 m, and its student designers hope that it can travel fully submerged through water at 0.440 m/s. The water is freshwater (a lake) at T = 15 °C. The design team builds a one-fifth scale model to test in their university's wind tunnel, as shown in the Fig. A shield surrounds the drag balance strut so that the aerodynamic drag of the strut itself does not influence the measured drag. The air in the wind tunnel is at 25 °C and at one standard atmosphere pressure. At what air speed do they need to run the wind tunnel in order to achieve similarity? Take for water at T = 15 °C and atmospheric pressure, p = 999.1 kg/m³ and µ = 1.138 × 10-³ Pa.s. Take for air at T = 25 °C and atmospheric pressure, p = 1.184 kg/m³ and µ = 1.849 × 10-³ Pa.s. V Por P Wind tunnel test section Model Shield FD Drag balance StrutLR = 5m, LG = 2.5m and LC = 1.1m Q2. The Skylark family of sounding rockets consisted of a number of variants (denoted Skylark 5, Skylark 7, and Skylark 12 respectively). These are illustrated on Page 3. The data given below is based on that for the rocket motors they used (all manufactured and named by what was Royal Ordinance – now part of Roxel): Raven XI Motor Total mass: 1280 kg Length = LR See Case Table (units are m) Diameter = 0.44 m Goldfinch IIA Motor Total mass: 420 kg Length = LG See Case Table (units are m) Diameter = 0.44 m Cuckoo IV Motor Total mass: 242 kg Length = LC See Case Table (units are m) Diameter = 0.44 m The payload mass which is additional to the motor masses is to be taken as 100 kg. (a) For the configurations of the three rockets shown on Page 3 in Fig. Q2: (i) Determine the Pitching/Yawing moment of inertia of each rocket about the base of each rocket. (ii) Explain how you could then find the the Pitching/Yawing moment of inertia of each rocket about its…