Final answer:
The gyroscopic moment exerted by the rotor causes a nose-up or nose-down moment during a turn, depending on rotor placement; the exact moment cannot be calculated without additional data. The nose moves perpendicular to the direction of the turn due to gyroscopic effects, guided by the right-hand rule.
Step-by-step explanation:
The gyroscopic moment exerted by the rotor on an aircraft during a turn can be calculated using the principle of conservation of angular momentum. Since the rotor rotates at a constant speed of 1100 rad/s in the clockwise direction from the front of the aircraft, and the aircraft makes a left turn, the gyroscopic effect will cause a nose-up or nose-down moment, depending on the rotor's location on the aircraft. However, the exact calculation requires the mass and the moment of inertia of the rotor, which are not provided in the question. Hence, we cannot compute the exact gyroscopic moment.
Regarding the direction of motion of the nose when the aircraft turns to the left, the righting moment due to gyroscopic effects would typically make the nose move upward or downward, not left or right. This is because a torque applied to a gyroscope perpendicular to the axis of rotation will result in motion perpendicular to both the axis of rotation and the direction of the applied torque, according to the right-hand rule.
Regarding the various information provided, principles such as conservation of angular momentum and the relationship between moment of inertia and angular velocity (as per points 11, 13, and 15) relate to the gyroscopic effects, but detailed calculations cannot be completed without additional information.