3. A jet aircraft is making a level, 2.5 km radius turn to the left at a speed of 650 km/hr. The rotor of the turbojet engine has a mass of 200 kg, a radius of gyration of 0.25 m and rotates at 15000 revolutions per minute clockwise as viewed from the front of the airplane. Calculate the gyroscopic moment that the engine exerts on the airframe and specify whether it tends to pitch the nose up or down. * The radius of gyration $r_g$ is used to calculate the moment-of-inertia of the body with respect to the axis of rotation like $I = mr_g^2$.
Z
15,000 rpm $M_g$
G
y
Forward
Figure 2: Rotating engine