The Copperbelt University School of Engineering EA351: aircraft system and Performance Assignment 1 due date: 29th January, 2020 Question 1 The first plane to fly transatlantic was called the spirit of saint Louse. This plane has the following π = 29.6π2 , π = 22.8 ππ, πΆπ· = 0.0686 − 0.088πΆπΏ + 0.169πΆπΏ 2 . a) Calculate and plot the thrust required curve at sea level? b) Calculate the minimum thrust required and the velocity at which it occurs. Question 2 Consider an airplane patterned after the Beechcraft Bonanza V-tailed, single engine light private airplane. The characteristics of the airplane are as follows: wing area = 181 π2 , weight = 3450N. The airplane is powered by a single piston engine of 345 hp maximum at sea level. Assume that the power of the engine is proportional to free-stream density. The two-blade propeller has an efficiency of 0.86. For other aircraft data see indata. a) b) c) d) Calculate the power required at sea level. Calculate the maximum velocity at sea level. Calculate the power required at 12,000m altitude. Calculate the maximum velocity at 12,000m altitude Question 3 The jet engine airplane has the following characteristics: wing area = 47 π2, weight = 103,047N. For other aeroplane data see indata. The airplane is equipped with two jet engines with 40,298 N of static thrust each at sea level. a) Calculate and plot the power-required curve at sea level. b) Calculate the maximum velocity at sea level. c) Calculate and plot the power-required curve at 5-km altitude. d) Calculate the maximum velocity at 5-km altitude. {Assume the engine thrust varies directly with free-stream density}. Note: use indata for question 2 and 3.