The rotor of a turbojet engine of an aircraft has a mass $180 \: kg$ and polar moment of inertia $10 \: kg \cdot m^2$ about the rotor axis. The rotor rotates at a constant speed of $1100 \: rad/s$ in the clockwise direction when viewed from the front of the aircraft. The aircraft while flying at a speed of $800 \: km$ per hour takes a turn with a radius of $1.5 \: km$ to the left. The gyroscopic moment exerted by the rotor on the aircraft structure and the direction of motion of the nose when aircraft turns, are
- $1629.6 \: N \cdot m$ and the nose goes up
- $1629.6 \: N \cdot m$ and the nose goes down
- $162.9 \: N \cdot m$ and the nose goes up
- $162.9 \: N \cdot m$ and the nose goes down