Suppose a general aviation aircraft is in steady lateral flight in a horizontal plane with zero side-slip angle and a constant angle of attack of 5 degrees. The constant aircraft speed with respect to a stationary atmosphere is 250 ft/s and the constant turn rate is 0.015 rad/s. Assume the heading angle is initially zero degrees.
(a) What are the initial velocity components of the aircraft when expressed in the ground-fixed frame?
(b) What are the initial velocity components of the aircraft when expressed in the aircraft-fixed frame?
(c) After 150 seconds, what are the velocity components of the aircraft when expressed in the ground-fixed frame?
(d) After 150 seconds, what are the velocity components of the aircraft when expressed in the aircraft-fixed frame?
(e) The path of the aircraft is circular in the horizontal plane. What is the period of this circular motion?