Final answer:
In LT Dan's tight corkscrew-like spin maneuver in his C12 aircraft, the angular velocity, linear velocity, and centripetal acceleration change simultaneously, while the gravitational pull remains constant.
Step-by-step explanation:
When LT Dan practices evasive procedures in his C12 fixed-wing aircraft by performing a tight corkscrew-like spin, several factors change simultaneously. The angular velocity is the rate at which an object rotates or spins, measured in degrees per second or radians per second. In a maneuver like a tight corkscrew-like spin, LT Dan's aircraft's angular velocity increases.
The linear velocity changes as well because, in a circular path, linear velocity is related to the angular velocity and the radius of the path. As Dan's aircraft performs the maneuver, the path he travels in space may vary, changing the linear velocity. The centripetal acceleration is the acceleration that causes a body to follow a curved path. It points towards the center of the curvature, and its magnitude changes as the angular velocity and the radius of the path change.
However, the gravitational pull, due to its nature as a conservative force, remains constant and is not affected by the aircraft's rotation or path but only by its altitude and mass, which we are considering constant in this situation.