Question

1. Selected Aircraft: Embraer ERJ 145 XR

2. Maximum Takeoff Weight (MTOW) [lbs]: 53,131 lbs

3. Engine Type and Rated Thrust [lbs]: Rolls-Royce AE3007 A1E and 7,800

4. Total Available Thrust (sum of all engines for multiengine aircraft) [lbs]: 15,600 pounds

5. Take-off distance at MTOW [ft]: 7,448 ft

Utilizing the above researched information, derive and present (in an instructional way) approaches and solutions to the following problems:

1.) If your selected aircraft's takeoff speed at MTOW was assumed to be 150 kts (i.e., the speed that is reached in the above researched takeoff distance), explain how to find and determine:

a. The total acceleration a [ft/s2] during takeoff roll

b. The sum of retarding forces FR [lb] (drag + friction) that was present during takeoff

c. The time t [s] it took for this takeoff

2.) Given the researched knowledge about the aircraft's thrust, explain for a specific airspeed example how to determine the power P [HP].

3.) For a specific example related to your researched aircraft data, explain how to determine potential EPot[ft-lb], kinetic EKin [ft-lb], and total energy ETot [ft-lb].

4.) For a specific example, explain how the minimum required climb angle AOC [deg] to clear an obstacle can be calculated from knowledge about the obstacle's height and its distance from the point of takeoff.

Answer 1