Some passenger jets have one engine attached to each wing. The core of a jet engine is a...

Some passenger jets have one engine attached to each wing. The core of a jet engine is a rotating turbine that spins at a rate of 9,000 rpm. (a) Estimate the angular momentum of the airplane due to the rotation of the turbines in both engines. These turbines are cylindrical, are usually made of titanium alloys, and can be modeled as a cylinder 1.0 m in diameter and 4.0 m long. Assume the components of each engine are rotating in a counterclockwise direction as seen from the front of the aircraft so that a significant amount of angular momentum is pointing along the forward direction (in the positive direction along the roll axis). (b) If the pilot executes a left turn, about which axis (roll, pitch, or yaw as seen in Fig. P9.70) would the angular momentum of the engines cause the plane to rotate? (c) About which axis would a rotation occur if the plane flew upward in a vertical circle?