Consider the ground run of the propeller-driven general aviation aircraft during takeoff at an altitude of 1,000 ft. Assume the aircraft weight is a constant 2,900 lbs. Assume the aircraft is operating at 90 percent of full throttle with a constant angle of attack of 18 degrees and a constant bank angle of 0 degrees. The coefficient of friction between the aircraft tires and the runway is 0.04.
a) Give differential equations that describe the ground roll dynamics based on the above assumptions. Include all parameter values and the constant input functions in describing your differential equations. Assume the initial aircraft ground roll speed is 5 ft/s.
(b) Develop a flight simulation of this takeoff maneuver from initiation until takeoff, which is assumed to occur when the contact force of the aircraft with the ground N = 0. Develop a time response plot for the the airspeed. What is the distance traveled by the aircraft from initialization to takeoff?