Question

Question 1. An aircraft is flying West along the equator (as shown in Fig.1) with a constant speed equal to 800 km/h with respect to the Earth surface, at an altitude equal to 10 km. The radius of the Earth is equal to 6371 km. On the Figure 1 (see printable on Page 3), define (draw) the following a) Earth-fixed coordinate system with the origin at zero longitude and zero latitude (point OE in Fig. 1); Vehicle-carried coordinate system; Body-fixed coordinate system. b) Neglecting rotation of the Earth (Ω-0), find the angular velocity of the airplane ω with respect to inertial frame, written in the components of the Earth-centered coordinate system OcEXCEyZCE (@C), and in the components of the Earth-fixed coordinate system OExEyEZE (E) c) Now, taking into account rotation of the Earth given by angular velocity S2 around ZEc axis, find the angular velocity of the airplane ö with respect to inertial frame, written in the components of the Earth-centered coordinate system OcEcyzcE(), and in the components of the Earth-fixed coordinate system OExE) or calculations, assume 2-2m radians /24 hours. ZEC OEC УЕС XEC Figure 1

Answer 1

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