Define two aerodynamic derivatives employed in the aircraft
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Define two aerodynamic derivatives employed in the aircraft: (a) longitudinal equation of motion (b) Lateral equation of motion (c) Directional equation of motion.
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- Discuss the following exchange processes between the earth and the atmosphere and the importance of boundary layer turbulence on them:(a) sensible heat;(b) water vapor;(c) momentumA shuttlecock is launched from the ground with an initial speed of 36.9838 m/s at an angle of 9.9728 degrees with respect to the horizontal. The shuttlecock experiences air resistance with a drag coefficient of 0.1967 in an environment where the air density is 0.7584 kg/m3. If the shuttlecock has a radius of 3.4 cm and a mass of 5.2 grams, what is the maximum height reached by the shuttlecock? Assume that the experiment is done near the surface of the earth.What is the formula and variables in finding the air drag of a motorcycle?
- Water at 10°C flows over a 1.1-m-long flat plate with a velocity of 0.55 m/s. If the width of the plate is 2.5 m, calculate the drag force acting on the top side of the plate. (Water properties at 10°C are: ? = 999.7 kg/m3, ? = 1.307 × 10−3 kg/m·s.) (a) 0.46 N (b) 0.81 N (c) 2.75 N (d ) 4.16 N (e) 6.32 N. A bicyclist of mass 70 kg supplies 300 W of power while riding into a 3 m/s headwind. The frontal area of the cyclist and bicycle together is 0.36 m^2 , the drag coefficient is 0.88, and you can ignore rolling resistance. Determine the speed of the cyclist (assuming standard atmospheric conditions).Calculate the frontal area of a parachute of hemi-spherical shape which will allow aparachutejumper of weight 90 kg to descend with a steady velocity of 8 m/s ignoring air movement.The drag coefficient of parachute as determined from experiments is 1.5. Take the densityof air as 1.2 kg/m3
- Consider a 1200 kg car presenting a front-end area 2.60 m2 and having a drag coefficient 0.385. It can achieve instantaneous acceleration 3.00 m/s2 when its speed is 10.0 m/s. Ignore any force of rolling resistance. Assume that the only horizontal forces on the car are static friction forward exerted by the road on the drive wheels and resistance exerted by the surrounding air, with density 1.20 kg/m3. (a) Find the friction force exerted by the road.(b) Suppose the car body could be redesigned to have a drag coefficient of 0.165 If nothing else changes, what will be the car's acceleration?(c)Assume that the force exerted by the road remains constant. Then what maximum speed could the car attain with D = 0.385?(d) What maximum speed could the car attain with D = 0.165?Why control surfaces at tails of airplanes become in effective at high speeds? what is the need of using all moving tails? Explain.A tennis ball with a mass of 0.125 lbm and a diameter of 2.52 in is hit at 45 mi/h with a backspin of 4800 rpm. Determine if the ball will fall or rise under the combined effect of gravity and lift due to spinning shortly after being hit in air at 1 atm and 80°F.
- A 17,000-kg tractor-trailer rig has a frontal area of 9.2 m2, a drag coefficient of 0.96, a rolling resistance coefficient of 0.05 (multiplying the weight of a vehicle by the rolling resistance coefficient gives the rolling resistance), a bearing friction resistance of 350 N, and a maximum speed of 110 km/h on a level road during steady cruising in calm weather with an air density of 1.25 kg/m3. Now a fairing is installed to the front of the rig to suppress separation and to streamline the flow to the top surface, and the drag coefficient is reduced to 0.76. Determine the maximum speed of the rig with the fairing.An airplane is cruising at a velocity of 950 km/h in air whose density is 0.526 kg/m3. The airplane has a wing planform area of 90 m2. The lift and drag coefficients on cruising conditions are estimated to be 2.0 and 0.06, respectively. The power that needs to be supplied to provide enough trust to overcome wing drag is (a) 21,500 kW (b) 19,300 kW (c) 23,600 kW (d ) 25,200 kW (e) 26,100 kWSkydiver Luke jumps with his parachute of diameter D = 12m out of an airplane. The combined mass of the parachute and Luke is 100 kg. The drag coefficient for the fully open parachute is C_{D} = 1.4 . Neglecting acceleration and considering a linear change of air density with altitude, estimate Luke's fall time between altitudes of 3000 m and 2000 m. For the density of air at these two altitudes, assume pair (3000m) = 1.0 kg/m³ and pair (2000m) = 1.1 kg/m³.