A holonomic drive train in robotics has how many degrees of freedom?

A holonomic drive train provides three degrees of freedom. This is due to its ability to move in three dimensions: forward/backward, side-to-side, and rotationally around its vertical axis. Holonomic systems utilize omnidirectional wheels (like mecanum wheels or ball casters) that allow for this versatile movement.

The forward and backward motion accounts for one degree of freedom, lateral movement gives a second degree, and rotation around the vertical axis provides the third degree. This capability allows robots with holonomic drive trains to navigate and manipulate their environment with greater agility and precision compared to non-holonomic systems, which generally restrict movement to only forward/backward and rotational motions.

Thus, the correct answer indicates the comprehensive movement capabilities of holonomic systems in robotics, enabling them to perform complex tasks more efficiently.