ASCI 309 EXERCISE 1: RECTILINEAR MOTION DOWNLOAD
Uniformly Accelerated Rectilinear Motion and Newton’s Law of Momentum Equations to use (remember to keep track of units): F = ma m = W/g T-D-f = ma VF 2 = VI 2 + 2 a s VF = VI 2 + a t Takeoff distance (s) = VF 2 /2a KE = ½ mV2 PE = Wh HP= T*Vkts /325 sin(γ) = (ROCkts)/(Vkts) 1 kt = 1.69 ft/sec g = 32.2 ft/sec2 Givens: (Questions 1 to 8) Gross Weight Average Drag Average Friction Force Average Thrust Lift Off Speed
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100,000 pounds = 5,000 pounds = 1,000 pounds = 34,000 pounds = 150 Knots True Airspeed
1. Compute the acceleration on the aircraft during the takeoff roll (ft / sec 2). 2. What would be the length of the takeoff run (ft)? 3. How long would it take until liftoff once the takeoff roll is started (sec)? 4. Given the information shown above, determine how fast this airplane should be going when it passes the 2000-foot runway marker (2000 feet from the start of the takeoff roll)? Please express your answer inknots. 5. What is the power (HP) of the aircraft engines after takeoff at Average Thrust at 250KTAS? 6. What is the Kinetic Energy (ft-lb) of the aircraft after climbing out at 250 KTAS with the new weight at 95,000 lb? 7. What is the Potential Energy (ft-lb) of the aircraft after climbing out to 10,000 ft above sea level with the new weight at 95,000 lb? 8. What is the Angle of Climb (deg) for airplane at 250 KTAS with a climb rate of 4,000 ft/min