Gyroscopic acceleration is a phenomenon that occurs when an object with angular velocity experiences a change in its direction. This acceleration is due to the rotational motion of the object and is responsible for various gyroscopic effects.

Explanation:

Gyroscopic acceleration is primarily caused by a change in the direction of angular velocity. Angular velocity is a vector quantity that describes the rate at which an object rotates around an axis. It has both magnitude and direction.

When an object with angular velocity experiences a change in its direction, it undergoes a change in its angular velocity. This change in angular velocity results in gyroscopic acceleration.

To understand this concept better, let's consider an example of a spinning top. When a spinning top is rotating, it has a constant angular velocity. However, if an external force is applied to change the direction of rotation, the top experiences gyroscopic acceleration.

This gyroscopic acceleration can be observed in the form of precession, where the spinning top starts to rotate around a different axis. The gyroscopic acceleration is responsible for causing this change in the direction of rotation.

In the context of the given options, option 'B' is the correct answer because a change in the direction of angular velocity is the primary cause of gyroscopic acceleration.

Option 'A' is incorrect because gyroscopic acceleration is not related to a change in the direction of linear velocity. Linear velocity refers to the rate of change of linear displacement and is not directly associated with gyroscopic effects.

Option 'C' is incorrect because gyroscopic acceleration is not related to a change in the magnitude of angular velocity. Although a change in angular velocity can cause gyroscopic acceleration, it is not specifically related to the magnitude of the angular velocity.

Option 'D' is incorrect because gyroscopic acceleration is not related to a change in the magnitude of linear velocity. Linear velocity and gyroscopic effects are separate phenomena and do not directly influence each other.

In conclusion, gyroscopic acceleration is primarily caused by a change in the direction of angular velocity. This change in direction leads to various gyroscopic effects, such as precession, which can be observed in spinning objects like tops and gyroscopes.